All Stories

  1. On a Novel Class of Special Polynomials: Central Bell-Based Type 2 Euler Polynomials Associated with Umbral Calculus

    Article • Contemporary Mathematics, May 2026, Universal Wiser Publisher Pte. Ltd

    Dr. Ugur Duran

  2. Various New Properties for Central Bell-Based Type 2 Bernoulli Polynomials of Order β

    Article • April 2026, MDPI AG

    Dr. Ugur Duran

  3. Gould–Hopper-based Fibonacci–Frobenius–Sigmoid polynomials: Properties and applications in computer modeling

    Article • Analysis, April 2026, De Gruyter

    Dr. Ugur Duran

  4. EXTENDED APOSTOL-TYPE (λ-ARRAY) CENTRAL FACTORIAL NUMBERS AND POLYNOMIALS OF THE SECOND KIND

    Article • March 2026, ScienceOpen

    Dr. Ugur Duran

  5. A Broad Study on Some New Families of q‐Polynomials

    Article • Mathematical Methods in the Applied Sciences, February 2026, Wiley

    Dr. Ugur Duran

  6. Determinant approach of the $ (p, q) $-Hermite-Appell polynomials and some of their components

    Article • Networks and Heterogeneous Media, January 2026, Tsinghua University Press

    william ramirez, Dr. Ugur Duran

  7. Trivariate <inline-formula><tex-math id="M1">$ q $</tex-math></inline-formula>-central geometric polynomials with applications arising from <inline-formula><tex-math id="M2">$ q $</tex-math></inline-formula&...

    Article • Advances in Mathematics of Communications, January 2026, American Institute of Mathematical Sciences (AIMS)

    Dr. Ugur Duran

  8. Insight into degenerate Bell-based Bernoulli polynomials with applications

    Article • Journal of Mathematics and Computer Science, October 2025, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  9. New Families of Certain Special Polynomials: A Kaniadakis Calculus Viewpoint

    Article • Symmetry, September 2025, MDPI AG

    Dr. Ugur Duran

  10. A Comprehensive Study of Generalized Bivariate q-Laguerre Polynomials: Structural Properties and Applications

    Article • European Journal of Pure and Applied Mathematics, August 2025, New York Business Global LLC

    Dr. Ugur Duran

  11. On Bell-based Frobenius-type Eulerian Polynomials and Their Applications

    Article • European Journal of Pure and Applied Mathematics, August 2025, New York Business Global LLC

    Dr. Ugur Duran

  12. Generalized properties of degenerate hyperharmonic numbers

    Article • Journal of Mathematics and Computer Science, July 2025, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  13. Central Bell-Based Type 2 Bernoulli Polynomials of Order $\beta $

    Article • Fundamental Journal of Mathematics and Applications, June 2025, Fundamental Journal of Mathematics and Applications

    Dr. Ugur Duran

  14. GENERALIZED DEGENERATE FUBINI-EULER-GENOCCHI POLYNOMIALS

    Article • Journal of Inequalities and Special Functions, June 2025, ILIRIAS Research Institute

    Dr. Ugur Duran

  15. A new class of degenerate unified Bernoulli-Euler Hermite polynomials of Apostol type

    Article • AIMS Mathematics, January 2025, Tsinghua University Press

    william ramirez, Clemente Cesarano, Dr. Ugur Duran

  16. A note on Fibonacci-Hermite polynomials

    Article • Publications de l Institut Mathematique, January 2025, National Library of Serbia

    Dr. Ugur Duran

  17. An exploratory study on bivariate extended $ q $-Laguerre-based Appell polynomials with some applications

    Article • AIMS Mathematics, January 2025, American Institute of Mathematical Sciences (AIMS)

    Dr. Ugur Duran

  18. On bivariate Fibonacci-Fubini polynomials

    Article • Filomat, January 2025, National Library of Serbia

    Dr. Ugur Duran

  19. Some properties and difference equations for the (q,h)-Frobenius-Genocchi polynomials

    Article • Journal of Mathematics and Computer Science, November 2024, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  20. Bivariate q -Laguerre–Appell polynomials and their applications

    Article • Applied Mathematics in Science and Engineering, October 2024, Taylor & Francis

    Dr. Ugur Duran

  21. A study on differential equations associated with ( q , h ) -Frobenius-Euler polynomials

    Article • Journal of Mathematics and Computer Science, August 2024, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  22. Symmetric Identities Involving the Extended Degenerate Central Fubini Polynomials Arising from the Fermionic p-Adic Integral on \({\mathbb{Z}_{p}}\)

    Article • Axioms, June 2024, MDPI AG

    Dr. Ugur Duran

  23. Several Symmetric Identities of the Generalized Degenerate Fubini Polynomials by the Fermionic p-Adic Integral on Zp

    Article • Symmetry, June 2024, MDPI AG

    Dr. Ugur Duran

  24. Exploring the depths of degenerate hyper-harmonic numbers in view of harmonic functions

    Article • Journal of Mathematics and Computer Science, April 2024, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  25. On some extensions for degenerate Frobenius-Euler-Genocchi polynomials with applications in computer modeling

    Article • Applied Mathematics in Science and Engineering, December 2023, Taylor & Francis

    Dr. Ugur Duran

  26. Applications and Properties for Bivariate Bell-Based Frobenius-Type Eulerian Polynomials

    Article • Journal of Function Spaces, August 2023, Hindawi Publishing Corporation

    Dr. Ugur Duran

  27. Novel Properties of q-Sine-Based and q-Cosine-Based q-Fubini Polynomials

    Article • Symmetry, January 2023, MDPI AG

    Dr. Ugur Duran

  28. A Note on Degenerate Catalan-Daehee Numbers and Polynomials

    Article • Symmetry, October 2022, MDPI AG

    Dr. Ugur Duran

  29. Gould-Hopper Based Degenerate Truncated Bernoulli Polynomials

    Article • Mathematical Sciences and Applications E-Notes, September 2022, Mathematical Sciences and Applications E-Notes

    Dr. Ugur Duran

  30. The higher-order type 2 Daehee polynomials associated with p-adic integral on ℤp

    Article • Applied Mathematics in Science and Engineering, August 2022, Taylor & Francis

    Dr. Ugur Duran

  31. Diverse Properties and Approximate Roots for a Novel Kinds of the (p,q)-Cosine and (p,q)-Sine Geometric Polynomials

    Article • Mathematics, July 2022, MDPI AG

    Dr. Ugur Duran

  32. On (p, q)-Sine and (p, q)-Cosine Fubini Polynomials

    Article • Symmetry, March 2022, MDPI AG

    Professor G. Muhiuddin, Dr. Ugur Duran

  33. Some Identities of the Degenerate Multi-Poly-Bernoulli Polynomials of Complex Variable

    Article • Journal of Function Spaces, June 2021, Hindawi Publishing Corporation

    Dr. Ugur Duran, Professor G. Muhiuddin

  34. Modified Sumudu Transform and Its Properties

    Article • Sakarya University Journal of Science, April 2021, Sakarya University Journal of Science

    Dr. Ugur Duran

  35. A New Class of Higher-Order Hypergeometric Bernoulli Polynomials Associated with Lagrange–Hermite Polynomials

    Article • Symmetry, April 2021, MDPI AG

    Dr. Ugur Duran, Professor G. Muhiuddin

  36. On unified Gould-Hopper based Apostol-type polynomials

    Article • Journal of Mathematics and Computer Science, March 2021, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  37. Bell-Based Bernoulli Polynomials with Applications

    Article • Axioms, March 2021, MDPI AG

    Dr. Ugur Duran

  38. Two-Variable Type 2 Poly-Fubini Polynomials

    Article • Mathematics, January 2021, MDPI AG

    Professor G. Muhiuddin, Dr. Ugur Duran

  39. Degenerate Sumudu transform and its properties

    Article • Filomat, January 2021, National Library of Serbia

    Dr. Ugur Duran

  40. Degenerate Sumudu Transform and Its Properties

    Article • December 2020, MDPI AG

    Dr. Ugur Duran

  41. Modified Sumudu Transform and Its Properties

    Article • December 2020, MDPI AG

    Dr. Ugur Duran

  42. Note on the Type 2 Degenerate Multi-Poly-Euler Polynomials

    Article • Symmetry, October 2020, MDPI AG

    Dr. Ugur Duran

  43. A New Family of Frobenius-Genocchi Polynomials and Its Certain Properties

    Article • October 2020, MDPI AG

    Dr. Ugur Duran

  44. Construction of the Type 2 Degenerate Multi-Poly-Euler Polynomials and Numbers

    Article • August 2020, MDPI AG

    Dr. Ugur Duran

  45. Construction of the type 2 poly-Frobenius–Genocchi polynomials with their certain applications

    Article • Advances in Difference Equations, August 2020, Springer Science + Business Media

    Dr. Ugur Duran

  46. Apostol type (p, q)-Frobenius–Eulerian polynomials and numbers

    Article • Afrika Matematika, August 2020, Springer Science + Business Media

    Dr. Ugur Duran

  47. A Note on Type 2 Degenerate Multi-Poly-Bernoulli Polynomials and Numbers

    Article • August 2020, MDPI AG

    Dr. Ugur Duran

  48. On Type 2 Degenerate Poly-Frobenius-Genocchi Polynomials and Numbers

    Article • July 2020, MDPI AG

    Dr. Ugur Duran

  49. Multifarious results for q-Hermite-based Frobenius-type Eulerian polynomials

    Article • Notes on Number Theory and Discrete Mathematics, July 2020, Prof. Marin Drinov Academic Publishing House

    Dr. Ugur Duran

  50. Construction of the Type 2 Poly-Frobenius-Genocchi Polynomials with Their Certain Applications

    Article • June 2020, MDPI AG

    Dr. Ugur Duran

  51. On generalized degenerate Gould-Hopper based fully degenerate Bell polynomials

    Article • Journal of Mathematics and Computer Science, April 2020, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  52. On Degenerate Truncated Special Polynomials

    Article • Mathematics, January 2020, MDPI AG

    Dr. Ugur Duran

  53. On p-adic gamma function related to q-Daehee polynomials and numbers

    Article • October 2019, Universidad Catolica del Norte - Chile

    Dr. Ugur Duran

  54. On applications of blending generating functions of q-Apostol-type polynomials

    Article • Notes on Number Theory and Discrete Mathematics, September 2019, Prof. Marin Drinov Academic Publishing House

    Dr. Ugur Duran

  55. Certain Results on (p,q)-Hermite Based Apostol Type Frobenius-Euler Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  56. Degenerate Poisson Distribution

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  57. Miscellaneous Properties of the Gamma Distribution Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  58. Multifarious Results for q-Hermite Based Frobenius Type Eulerian Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  59. Relationships between Mahler Expansion and Higher Order q-Daehee polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  60. Unified Degenerate Central Bell Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  61. A Novel Kind of Hermite Based Frobenius Type Eulerian Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  62. Some (p, q)-analogues of Apostol type numbers and polynomials

    Article • Acta et Commentationes Universitatis Tartuensis de Mathematica, August 2019, University of Tartu Press

    Dr. Ugur Duran

  63. SOME COMPUTATIONS BETWEEN SUMS OF POWERS OF CONSECUTIVE INTEGERS AND ALTERNATING SUMS OF POWERS OF CONSECUTIVE INTEGERS

    Article • Journal of Universal Mathematics, July 2019, Journal of Universal Mathematics

    Dr. Ugur Duran

  64. A Study on Novel Extensions for the p-adic Gamma and p-adic Beta Functions

    Article • Mathematical and Computational Applications, May 2019, MDPI AG

    Dr. Ugur Duran

  65. A Study on Novel Extensions for the $p$-adic Gamma and $p$-adic Beta Functions

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

  66. The Boole Polynomials Associated with the p-adic Gamma Function

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

  67. On Mahler Expansion of p-adic Gamma Function Affiliated with the q-Boole Polynomials

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

  68. On p-adic Gamma Function Related to q-Daehee Polynomials and Numbers

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

  69. Truncated Fubini Polynomials

    Article • Mathematics, May 2019, MDPI AG

    Dr. Ugur Duran

  70. On weighted q-Daehee polynomials with their applications

    Article • Indagationes Mathematicae, March 2019, Elsevier

    Dr. Ugur Duran

  71. On applications for Mahler expansion associated with p-adic q-integrals

    Article • International Journal of Number Theory, February 2019, World Scientific Pub Co Pte Lt

    Dr. Ugur Duran

  72. On Gould–Hopper-Based Fully Degenerate Poly-Bernoulli Polynomials with a q-Parameter

    Article • Mathematics, January 2019, MDPI AG

    Dr. Ugur Duran

  73. The Boole polynomials associated with the p-adic gamma function

    Article • Publications de l Institut Mathematique, January 2019, National Library of Serbia

    Dr. Ugur Duran

  74. On two bivariate kinds of (p, q)-Bernoulli polynomials

    Article • Miskolc Mathematical Notes, January 2019, Mathematical Notes

    Dr. Ugur Duran

  75. A Study on Some New Results Arising from (p,q)-Calculus

    Article • March 2018, MDPI AG

    Dr. Ugur Duran

  76. Multifarious Implicit Summation Formulae of Hermite-Based Poly-Daehee Polynomials

    Article • Applied Mathematics & Information Sciences, March 2018, Natural Sciences Publishing

    Dr. Ugur Duran

  77. Hermite based Poly-Bernoulli Polynomials with a q-parameter

    Article • February 2018, MDPI AG

    Dr. Ugur Duran

  78. Some Computations between Sums of Powers of Consecutive Integers and Alternating Sums of Powers of Consecutive Integers

    Article • February 2018, MDPI AG

    Dr. Ugur Duran

  79. Some Relationships Including p-Adic Gamma Function and q-Daehee Polynomials and Numbers

    Article • February 2018, MDPI AG

    Dr. Ugur Duran

  80. On (ρ,q)-Euler numbers and polynomials associated with (ρ,q)-Volkenborn integrals

    Article • International Journal of Number Theory, February 2018, World Scientific Pub Co Pte Lt

    Dr. Ugur Duran

  81. A Note on the (p,q)-Hermite Polynomials

    Article • Applied Mathematics & Information Sciences, January 2018, Natural Sciences Publishing

    Dr. Ugur Duran

  82. Research on some new results arising from multiple q-calculus

    Article • Filomat, January 2018, National Library of Serbia

    Dr. Ugur Duran

  83. Applications of q-Umbral Calculus to Modified Apostol Type q-Bernoulli Polynomials

    Article • Journal of Mathematics and Statistics, January 2018, Science Publications

    Dr. Ugur Duran

  84. Apostol type (p, q): Frobenius-Euler polynomials and numbers

    Article • Kragujevac Journal of Mathematics, January 2018, Centre for Evaluation in Education and Science (CEON/CEES)

    Dr. Ugur Duran

  85. Unified (p,q)-analog of Aspostol type polynomials of order α

    Article • Filomat, January 2018, National Library of Serbia

    Dr. Ugur Duran

  86. Research on Some New Results Arising from Multiple q-Calculus

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  87. Unified (p, q) -analog of Apostol type polynomials of order a

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  88. A Note on the (p, q)-Hermite Polynomials

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  89. On (q, r, w)-Stirling Numbers of the Second Kind

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  90. Applications of q-Umbral Calculus to Modi…ed Apostol Type q-Bernoulli Polynomials

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  91. Modified Degenerate Carlitz’s q-Bernoulli Polynomials and Numbers with Weight (α, β)

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  92. Apostol Type (p, q)-Frobenius-Euler Polynomials and Numbers

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  93. ( ρ , q )-Volkenborn integration

    Article • Journal of Number Theory, February 2017, Elsevier

    Dr. Ugur Duran

  94. A certain ( p , q ) $(p,q)$ -derivative operator and associated divided differences

    Article • Journal of Inequalities and Applications, November 2016, Springer Science + Business Media

    Dr. Ugur Duran

  95. On (p,q)-Bernoulli, (p,q)-Euler and (p,q)-Genocchi Polynomials

    Article • Journal of Computational and Theoretical Nanoscience, November 2016, American Scientific Publishers

    Dr. Ugur Duran

  96. On Some Polynomials Derived from (p,q)-Calculus

    Article • Journal of Computational and Theoretical Nanoscience, November 2016, American Scientific Publishers

    Dr. Ugur Duran

  97. NOVEL IDENTITIES OF SYMMETRY FOR CARLITZ'S TWISTED $q$-BERNOULLI POLYNOMIALS UNDER $S_{4}$

    Article • International Journal of Pure and Apllied Mathematics, October 2016, Academic Publications

    Dr. Ugur Duran

  98. NEW THEOREMS ON CARLITZ’S TWISTED q-BERNOULLI POLYNOMIALS UNDER THE SYMMETRIC GROUP OF DEGREE n

    Article • Advances and Applications in Discrete Mathematics, September 2016, Pushpa Publishing House

    Dr. Ugur Duran

  99. A study on a class of q-Euler polynomials under the symmetric group of degree n

    Article • The Journal of Nonlinear Sciences and Applications, August 2016, International Scientific Research Publications MY SDN. BHD.

    Dr. Ugur Duran

  100. SOME SYMMETRIC IDENTITIES INVOLVING CARLITZ’S TWISTED q-BERNOULLI POLYNOMIALS UNDER S_5

    Article • Universal Journal of Mathematics and Mathematical Sciences, July 2016, Pushpa Publishing House

    Dr. Ugur Duran

  101. New Extensions of Some Known Special Polynomials under the Theory of Multiple q-Calculus

    Article • Turkish Journal of Analysis and Number Theory, January 2016, Science and Education Publishing Co., Ltd.

    Dr. Ugur Duran

  102. Symmetric Identities Involving q-Frobenius-Euler Polynomials under Sym (5)

    Article • Turkish Journal of Analysis and Number Theory, January 2016, Science and Education Publishing Co., Ltd.

    Dr. Ugur Duran

  103. New symmetric identities of Carlitz's generalized twisted q-Bernoulli polynomials under S3

    Article • Mathematica Moravica, January 2016, Centre for Evaluation in Education and Science (CEON/CEES)

    Dr. Ugur Duran

  104. A note on the Hermite numbers and polynomials

    Article • Mathematical Inequalities & Applications, January 2013, Element d.o.o.

    Dr. Ugur Duran