Identities and recurrence relations of special numbers and polynomials of higher order by analysis of their generating functions

DOI10.1186/s13660-018-1815-7zbMath1494.11020OpenAlexW2888303990WikidataQ58722738 ScholiaQ58722738MaRDI QIDQ824741

Daeyeoul Kim, Yilmaz Simsek

Publication date: 15 December 2021

Published in: Journal of Inequalities and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1186/s13660-018-1815-7

zbMATH Keywords

generating functionsBernoulli numbers and polynomialsApostol-Bernoulli numbers and polynomialsspecial numbers and polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

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• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
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• Twisted \((h,q)\)-Bernoulli numbers and polynomials related to twisted \((h,q)\)-zeta function and \(L\)-function
• Applications on the Apostol-Daehee numbers and polynomials associated with special numbers, polynomials, and \(p\)-adic integrals
• New families of special numbers and polynomials arising from applications of \( p\)-adic \( q\)-integrals
• \(q\)-analogue of twisted \(l\)-series and \(q\)-twisted Euler numbers
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• On the Lerch zeta function
• ON THE ANALOGS OF BERNOULLI AND EULER NUMBERS, RELATED IDENTITIES AND ZETA AND L-FUNCTIONS
• ON q-ANALGUE OF THE TWISTED L-FUNCTIONS AND q-TWISTED BERNOULLI NUMBERS
• Analysis of the p-adic q-Volkenborn integrals: An approach to generalized Apostol-type special numbers and polynomials and their applications

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