C-polynomials and LC-functions: towards a generalization of the Hurwitz zeta function

DOI10.1007/S11139-024-00919-1MaRDI QIDQ6624950

Lahcen Lamgouni

Publication date: 28 October 2024

Published in: The Ramanujan Journal (Search for Journal in Brave)

zbMATH Keywords

analytic continuationAppell polynomialsC-polynomialsEuler-Maclaurin formula generalizationFaulhaber's formula generalizationHurwitz zeta function generalizationHurwitz's formula generalizationLC-functionsmultiplication formula generalizationP-polynomials

Mathematics Subject Classification ID

Other Dirichlet series and zeta functions (11M41) Other functions defined by series and integrals (33E20) Special sequences and polynomials (11B83) Hurwitz and Lerch zeta functions (11M35) Zeta and (L)-functions in characteristic (p) (11M38)

Cites Work

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• A determinantal approach to Appell polynomials
• On a class of polynomes.
• Appell polynomials as values of special functions
• Ramanujan's master theorem
• A note on Appell sequences, Mellin transforms and Fourier series
• Johann Faulhaber and Sums of Powers
• Zurückführung einiger Summen und bestimmten Integrale auf die Jacob-Bernoullische Function.
• Bernoulli Numbers and Zeta Functions
• The Multiplication Formulas for the Bernoulli and Euler Polynomials

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