Generalized Mixed Type Bernoulli-Gegenbauer Polynomials

DOI10.46793/kgjmat2302.245qOpenAlexW4362728862MaRDI QIDQ6166505

Yamilet del Carmen Quintana Mato

Publication date: 2 August 2023

Published in: Kragujevac Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://elib.mi.sanu.ac.rs/files/journals/kjm/76/6_eng.html

zbMATH Keywords

inversion formulaGegenbauer polynomialsgeneralized Bernoulli polynomialsmatrix representationsGBG polynomialsmatrix-inversion formula

Mathematics Subject Classification ID

Polynomials in number theory (11C08) Special sequences and polynomials (11B83) Elementary classical functions (33B99)

Cites Work

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• About extensions of generalized Apostol-type polynomials
• Some generalizations of the Apostol-Bernoulli and Apostol-Euler polynomials
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• On an operational matrix method based on generalized Bernoulli polynomials of level \(m\)
• Some identities involving generalized Gegenbauer polynomials
• Remarks on some relationships between the Bernoulli and Euler polynomials.
• Some new generalizations and applications of the Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Partial differential equations for a new family of numbers and polynomials unifying the Apostol-type numbers and the Apostol-type polynomials
• On a theorem by Bojanov and Naidenov applied to families of Gegenbauer-Sobolev polynomials
• Information entropy of Gegenbauer polynomials of integer parameter
• Information entropy of Gegenbauer polynomials
• A Class of Addition Theorems^†
• Existence and reduction of generalized Apostol-Bernoulli, Apostol-Euler and Apostol-Genocchi polynomials
• Bernoulli Numbers and Zeta Functions

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