All Stories

  1. New Filbert and Lilbert matrices with asymmetric entries

    Article • Mathematica Slovaca, April 2020, De Gruyter

    Dr. EMRAH KILIÇ, Prof.Dr. Ilker Akkus

  2. An observation on the determinant of a Sylvester-Kac type matrix

    Article • Analele ştiinţifice ale Universităţii "Ovidius" Constanţa Seria Matematică, March 2020, De Gruyter

    Dr. EMRAH KILIÇ

  3. A nonsymmetrical matrix and its factorizations

    Article • Mathematica Slovaca, August 2019, De Gruyter

    Dr. EMRAH KILIÇ

  4. Evaluation of sums involving products of Gaussian q-binomial coefficients with applications

    Article • Mathematica Slovaca, April 2019, De Gruyter

    Dr. EMRAH KILIÇ

  5. Explicit spectrum of a circulant-tridiagonal matrix with applications

    Article • January 2019, American Institute of Physics

    Dr. EMRAH KILIÇ

  6. On Fibonomial sums identities with special sign functions: analytically q-calculus approach

    Article • Mathematica Slovaca, June 2018, De Gruyter

    Prof.Dr. Ilker Akkus, Dr. EMRAH KILIÇ

  7. Evaluation of sums containing triple aerated generalized Fibonomial coefficients

    Article • Mathematica Slovaca, January 2017, De Gruyter

    Dr. EMRAH KILIÇ

  8. The matrix of super Patalan numbers and its factorizations

    Article • Filomat, January 2017, National Library of Serbia

    Dr. EMRAH KILIÇ

  9. Closed form evaluation of Melham's reciprocal sums

    Article • Miskolc Mathematical Notes, January 2017, Mathematical Notes

    Dr. EMRAH KILIÇ

  10. Evaluation of Hessenberg determinants via generating function approach

    Article • Filomat, January 2017, National Library of Serbia

    Dr. EMRAH KILIÇ

  11. Generalized Binomial Convolution of the mth Powers of the Consecutive Integers with the General Fibonacci Sequence

    Article • Demonstratio Mathematica, December 2016, De Gruyter

    Dr. EMRAH KILIÇ, Prof.Dr. Ilker Akkus

  12. On sums of squares of Fibonomial coefficients by q-calculus

    Article • Asian-European Journal of Mathematics, September 2016, World Scientific Pub Co Pte Lt

    Dr. EMRAH KILIÇ

  13. Two Variants of the Reciprocal Super Catalan Matrix

    Article • Kyungpook mathematical journal, June 2016, Department of Mathematics, Kyungpook National University

    Dr. EMRAH KILIÇ

  14. The generalized Lilbert matrix

    Article • Periodica Mathematica Hungarica, April 2016, Springer Science + Business Media

    Dr. EMRAH KILIÇ

  15. Some Gaussian binomial sum formulæ with applications

    Article • Indian Journal of Pure and Applied Mathematics, March 2016, Springer Science + Business Media

    Dr. EMRAH KILIÇ

  16. Evaluation of sums involving Gaussian q-binomial coefficients with rational weight functions

    Article • International Journal of Number Theory, March 2016, World Scientific Pub Co Pte Lt

    Dr. EMRAH KILIÇ

  17. Closed form evaluation of sums containing squares of Fibonomial coefficients

    Article • Mathematica Slovaca, January 2016, De Gruyter

    Dr. EMRAH KILIÇ

  18. Evaluation of spectrum of 2-periodic tridiagonal-Sylvester matrix

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2016, The Scientific and Technological Research Council of Turkey

    Dr. EMRAH KILIÇ

  19. The generalized reciprocal super Catalan matrix

    Article • TURKISH JOURNAL OF MATHEMATICS, January 2016, The Scientific and Technological Research Council of Turkey

    Dr. EMRAH KILIÇ

  20. Identities with squares of binomial coefficients: An elementary and explicit approach

    Article • Publications de l Institut Mathematique, January 2016, National Library of Serbia

    Dr. EMRAH KILIÇ

  21. A curious matrix-sum identity and certain finite sums identities

    Article • Asian-European Journal of Mathematics, September 2015, World Scientific Pub Co Pte Lt

    Dr. EMRAH KILIÇ

  22. A variant of the reciprocal super Catalan matrix

    Article • Special Matrices, January 2015, De Gruyter

    Dr. EMRAH KILIÇ

  23. Formulæ related to the $$q$$ q -Dixon formula with applications to Fibonomial sums

    Article • Periodica Mathematica Hungarica, January 2015, Springer Science + Business Media

    Dr. EMRAH KILIÇ

  24. Sums of products of generalized Fibonacci and Lucas numbers

    Article • Acta Mathematica Hungarica, December 2014, Springer Science + Business Media

    Dr. EMRAH KILIÇ

  25. The generalized q-Pilbert matrix

    Article • Mathematica Slovaca, January 2014, De Gruyter

    Dr. EMRAH KILIÇ

  26. Asymmetric generalizations of the filbert matrix and variants

    Article • Publications de l Institut Mathematique, January 2014, National Library of Serbia

    Dr. EMRAH KILIÇ

  27. Some double binomial sums related with the Fibonacci, Pell and generalized order-$k$ Fibonacci numbers

    Article • Rocky Mountain Journal of Mathematics, June 2013, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  28. More on the infinite sum of reciprocal Fibonacci, Pell and higher order recurrences

    Article • Applied Mathematics and Computation, March 2013, Elsevier

    Dr. EMRAH KILIÇ

  29. Sylvester-tridiagonal Matrix with Alternating Main Diagonal Entries and its Spectra

    Article • International Journal of Nonlinear Sciences and Numerical Simulation, January 2013, De Gruyter

    Dr. EMRAH KILIÇ

  30. The inverse of banded matrices

    Article • Journal of Computational and Applied Mathematics, January 2013, Elsevier

    Dr. EMRAH KILIÇ

  31. Theq-Pilbert matrix

    Article • International Journal of Computer Mathematics, July 2012, Taylor & Francis

    Dr. EMRAH KILIÇ

  32. Factorizations and representations of binary polynomial recurrences by matrix methods

    Article • Rocky Mountain Journal of Mathematics, August 2011, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  33. Some Finite Sums Involving Generalized Fibonacci and Lucas Numbers

    Article • Discrete Dynamics in Nature and Society, January 2011, Hindawi Publishing Corporation

    Dr. EMRAH KILIÇ

  34. On Binomial Sums for the General Second Order Linear Recurrence

    Article • Integers, January 2010, De Gruyter

    Dr. EMRAH KILIÇ

  35. The generalized Fibonomial matrix

    Article • European Journal of Combinatorics, January 2010, Elsevier

    Dr. EMRAH KILIÇ

  36. On the Fibonacci and Lucas p-numbers, their sums, families of bipartite graphs and permanents of certain matrices

    Article • Chaos Solitons & Fractals, June 2009, Elsevier

    Dr. EMRAH KILIÇ

  37. The generalized Pell (p,i)-numbers and their Binet formulas, combinatorial representations, sums

    Article • Chaos Solitons & Fractals, May 2009, Elsevier

    Dr. EMRAH KILIÇ

  38. Generalized order-$k$ Fibonacci and Lucas functions

    Article • Rocky Mountain Journal of Mathematics, December 2008, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  39. On a constant-diagonals matrix

    Article • Applied Mathematics and Computation, October 2008, Elsevier

    Dr. EMRAH KILIÇ

  40. A computational algorithm for special nth-order pentadiagonal Toeplitz determinants

    Article • Applied Mathematics and Computation, June 2008, Elsevier

    Dr. EMRAH KILIÇ

  41. The Binet formula, sums and representations of generalized Fibonacci

    Article • European Journal of Combinatorics, April 2008, Elsevier

    Dr. EMRAH KILIÇ

  42. On Sums Of Second Order Linear Recurrences by Hessenberg Matrices

    Article • Rocky Mountain Journal of Mathematics, April 2008, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  43. Explicit formula for the inverse of a tridiagonal matrix by backward continued fractions

    Article • Applied Mathematics and Computation, March 2008, Elsevier

    Dr. EMRAH KILIÇ

  44. Sums of the squares of terms of sequence {u n }

    Article • Proceedings - Mathematical Sciences, February 2008, Springer Science + Business Media

    Dr. EMRAH KILIÇ

  45. On the Permanents of Some Tridiagonal Matrices with Applications to the Fibonacci and Lucas Numbers

    Article • Rocky Mountain Journal of Mathematics, December 2007, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  46. The generalized order-k Fibonacci–Pell sequence by matrix methods

    Article • Journal of Computational and Applied Mathematics, December 2007, Elsevier

    Dr. EMRAH KILIÇ

  47. Factorizations and representations of the backward second-order linear recurrences

    Article • Journal of Computational and Applied Mathematics, April 2007, Elsevier

    Dr. EMRAH KILIÇ

  48. On the Generalized Order-$k$ Fibonacci and Lucas Numbers

    Article • Rocky Mountain Journal of Mathematics, December 2006, Rocky Mountain Mathematics Consortium

    Dr. EMRAH KILIÇ

  49. THE GENERALIZED BINET FORMULA, REPRESENTATION AND SUMS OF THE GENERALIZED ORDER-$k$ PELL NUMBERS

    Article • Taiwanese Journal of Mathematics, December 2006, The Mathematical Society of the Republic of China

    Dr. EMRAH KILIÇ

  50. On the computing of the generalized order-k Pell numbers in log time

    Article • Applied Mathematics and Computation, October 2006, Elsevier

    Dr. EMRAH KILIÇ

  51. On the order-k generalized Lucas numbers

    Article • Applied Mathematics and Computation, August 2004, Elsevier

    Dr. EMRAH KILIÇ

  52. SOME WEIGHTED SUMS OF PRODUCTS OF LUCAS SEQUENCES

    Article • De Gruyter

    Dr. EMRAH KILIÇ