Higher Order Apostol-Type Poly-Genocchi Polynomials with Parameters a, b and c

DOI10.4134/CKMS.C200275zbMath1484.11071arXiv2009.03479OpenAlexW3209698554MaRDI QIDQ5164375

Cristina B. Corcino, Roberto B. Corcino

Publication date: 11 November 2021

Full work available at URL: https://arxiv.org/abs/2009.03479

zbMATH Keywords

polylogarithmAppell polynomialsBernoulli polynomialsGenocchi polynomialsApostol-type polynomialspolyexponential functionFrobenius polynomials

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Bell and Stirling numbers (11B73) Bernoulli and Euler numbers and polynomials (11B68)

Cites Work

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• Some identities of Genocchi polynomials arising from Genocchi basis
• Some formulae for the product of two Bernoulli and Euler polynomials
• Theorems on Genocchi polynomials of higher order arising from Genocchi basis
• Arakawa-Kaneko \(L\)-functions and generalized poly-Bernoulli polynomials
• Poly-Bernoulli numbers
• Some new identities for the Apostol-Bernoulli polynomials and the Apostol-Genocchi polynomials
• Construction of partially degenerate Laguerre-Genocchi polynomials with their applications
• A new generalization of Apostol-type Laguerre-Genocchi polynomials
• A note on polyexponential and unipoly functions
• On multiple Appell polynomials
• Some Identities for the Bernoulli, the Euler and the Genocchi Numbers and Polynomials
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• Certain unified polynomials
• Explicit formula for generalization of poly-Bernoulli numbers and polynomials with a,b,c parameters
• Certain generating funtion of generalized Apostol type Legendre-based polynomials
• CERTAIN GENERATING FUNCTION OF HERMITE-BERNOULLI-LAGUERRE POLYNOMIALS
• A new class of generalized polynomials associated with Laguerre and Bernoulli polynomials
• The Relation of the Classical Orthogonal Polynomials to the Polynomials of Appell

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