All Stories

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

    Article • March 2026, ScienceOpen

    Dr. Ugur Duran

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

    Article • Symmetry, September 2025, MDPI AG

    Dr. Ugur Duran

  3. 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

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

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

    Dr. Ugur Duran

  5. 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

  6. 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

  7. 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

  8. 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

  9. 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

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

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

    Dr. Ugur Duran

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

    Article • Symmetry, January 2023, MDPI AG

    Dr. Ugur Duran

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

    Article • Symmetry, October 2022, MDPI AG

    Dr. Ugur Duran

  13. 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

  14. 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

  15. 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

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

    Article • Symmetry, March 2022, MDPI AG

    Professor G. Muhiuddin, Dr. Ugur Duran

  17. 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

  18. Modified Sumudu Transform and Its Properties

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

    Dr. Ugur Duran

  19. 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

  20. 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

  21. Bell-Based Bernoulli Polynomials with Applications

    Article • Axioms, March 2021, MDPI AG

    Dr. Ugur Duran

  22. Two-Variable Type 2 Poly-Fubini Polynomials

    Article • Mathematics, January 2021, MDPI AG

    Professor G. Muhiuddin, Dr. Ugur Duran

  23. Degenerate Sumudu transform and its properties

    Article • Filomat, January 2021, National Library of Serbia

    Dr. Ugur Duran

  24. Degenerate Sumudu Transform and Its Properties

    Article • December 2020, MDPI AG

    Dr. Ugur Duran

  25. Modified Sumudu Transform and Its Properties

    Article • December 2020, MDPI AG

    Dr. Ugur Duran

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

    Article • Symmetry, October 2020, MDPI AG

    Dr. Ugur Duran

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

    Article • October 2020, MDPI AG

    Dr. Ugur Duran

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

    Article • August 2020, MDPI AG

    Dr. Ugur Duran

  29. 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

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

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

    Dr. Ugur Duran

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

    Article • August 2020, MDPI AG

    Dr. Ugur Duran

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

    Article • July 2020, MDPI AG

    Dr. Ugur Duran

  33. 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

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

    Article • June 2020, MDPI AG

    Dr. Ugur Duran

  35. 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

  36. On Degenerate Truncated Special Polynomials

    Article • Mathematics, January 2020, MDPI AG

    Dr. Ugur Duran

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

    Article • October 2019, Universidad Catolica del Norte - Chile

    Dr. Ugur Duran

  38. 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

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

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  40. Degenerate Poisson Distribution

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  41. Miscellaneous Properties of the Gamma Distribution Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  44. Unified Degenerate Central Bell Polynomials

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • August 2019, MDPI AG

    Dr. Ugur Duran

  46. 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

  47. 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

  48. 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

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

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

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

    Article • May 2019, MDPI AG

    Dr. Ugur Duran

  53. Truncated Fubini Polynomials

    Article • Mathematics, May 2019, MDPI AG

    Dr. Ugur Duran

  54. On weighted q-Daehee polynomials with their applications

    Article • Indagationes Mathematicae, March 2019, Elsevier

    Dr. Ugur Duran

  55. 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

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

    Article • Mathematics, January 2019, MDPI AG

    Dr. Ugur Duran

  57. 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

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

    Article • Miskolc Mathematical Notes, January 2019, Mathematical Notes

    Dr. Ugur Duran

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

    Article • March 2018, MDPI AG

    Dr. Ugur Duran

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

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

    Dr. Ugur Duran

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

    Article • February 2018, MDPI AG

    Dr. Ugur Duran

  62. 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

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

    Article • February 2018, MDPI AG

    Dr. Ugur Duran

  64. 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

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

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

    Dr. Ugur Duran

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

    Article • Filomat, January 2018, National Library of Serbia

    Dr. Ugur Duran

  67. 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

  68. 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

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

    Article • Filomat, January 2018, National Library of Serbia

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

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

    Article • December 2017, MDPI AG

    Dr. Ugur Duran

  77. ( ρ , q )-Volkenborn integration

    Article • Journal of Number Theory, February 2017, Elsevier

    Dr. Ugur Duran

  78. 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

  79. 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

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

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

    Dr. Ugur Duran

  81. 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

  82. 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

  83. 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

  84. 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

  85. 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

  86. 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

  87. 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

  88. A note on the Hermite numbers and polynomials

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

    Dr. Ugur Duran