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

DOI10.1007/s13398-017-0471-yzbMath1419.05019OpenAlexW2768465046MaRDI QIDQ1736983

Irem Kucukoglu, Yilmaz Simsek

Publication date: 26 March 2019

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s13398-017-0471-y

zbMATH Keywords

algorithmgenerating functionsdifferential operatorarithmetical functionsLyndon wordsStirling numbers of the first kindspecial polynomialsspecial numbersApostol-Euler numbers and polynomialsFrobenius-Euler numbers and polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68) Combinatorics on words (68R15) Permutations, words, matrices (05A05) Special sequences and polynomials (11B83) Arithmetic functions; related numbers; inversion formulas (11A25) Hurwitz and Lerch zeta functions (11M35)

Related Items (4)

Combinatorial approach of unified Apostol-type polynomials using \(\alpha \)-distanced words ⋮ A new class of generalized Fubini polynomials and their computational algorithms ⋮ On two supercongruences for sums of Apéry-like numbers ⋮ Applications of Apostol-type numbers and polynomials: approach to techniques of computation algorithms in approximation and interpolation functions

Cites Work

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• Computation of k-ary Lyndon words using generating functions and their differential equations
• A note on generating functions for the unification of the Bernstein type basis functions
• On Burnside's Problem

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