Closed formulas and determinantal expressions for higher-order Bernoulli and Euler polynomials in terms of Stirling numbers

DOI10.1007/s13398-020-00970-9zbMath1471.11097arXiv2005.03921OpenAlexW3119400061MaRDI QIDQ2028201

Muhammet Cihat Dağlı

Publication date: 31 May 2021

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://arxiv.org/abs/2005.03921

zbMATH Keywords

Stirling numbersBernoulli and Euler polynomialsclosed formsdeterminantal expression

Mathematics Subject Classification ID

Bell and Stirling numbers (11B73) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Matrices, determinants in number theory (11C20) Calculation of integer sequences (11Y55)

Related Items (5)

Parametric binomial sums involving harmonic numbers ⋮ Several explicit formulas for (degenerate) Narumi and Cauchy polynomials and numbers ⋮ Explicit, determinantal, recursive formulas, and generating functions of generalized Humbert–Hermite polynomials via generalized Fibonacci polynomials ⋮ Explicit, determinantal, recursive formulas and relations of the Peters polynomials and numbers ⋮ Appell-Carlitz numbers

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• CLOSED FORMS FOR DEGENERATE BERNOULLI POLYNOMIALS
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• Closed Forms: What They Are and Why We Care

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