On interpolation functions for the number of k-ary Lyndon words associated with the Apostol–Euler numbers and their applications

Author:

Kucukoglu Irem,Simsek Yilmaz

Funder

Akdeniz Üniversitesi

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics,Geometry and Topology,Algebra and Number Theory,Analysis

Reference29 articles.

1. Apostol, T.M.: On the Lerch zeta function. Pac. J. Math. 1, 161–167 (1951)

2. Apostol, T.M.: Introduction to Analytic Number Theory. Narosa Publishing, Springer Verlag, New Delhi, Chennai, Mumbai (1998)

3. Berstel, J., Perrin, D.: The origins of combinatorics on words. Eur. J. Comb. 28, 996–1022 (2007)

4. Bona, M.: Introduction to Enumerative Combinatorics. The McGraw-Hill Companies, Inc., New York (2007)

5. Cakic, N.P., Milovanovic, G.V.: On generalized Stirling numbers and polynomials. Math. Balk. 18, 241–248 (2004)

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1. Combinatorial approach of unified Apostol-type polynomials using α-distanced words;Discrete Applied Mathematics;2024-02

2. A new class of generalized Fubini polynomials and their computational algorithms;Applicable Analysis and Discrete Mathematics;2023

3. On two supercongruences for sums of Apéry-like numbers;Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. Matemáticas;2021-06-22

4. Numerical evaluation of special power series including the numbers of Lyndon words: an approach to interpolation functions for Apostol-type numbers and polynomials;ETNA - Electronic Transactions on Numerical Analysis;2019

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