A new class of Hermite-Apostol type Frobenius-Euler polynomials and its applications

DOI10.3390/sym10110652zbMath1423.11045OpenAlexW2900570280WikidataQ128818553 ScholiaQ128818553MaRDI QIDQ2333937

Subuhi Khan, Mumtaz Riyasat, Shahid Ahmad Wani, Serkan Araci

Publication date: 13 November 2019

Published in: Symmetry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3390/sym10110652

zbMATH Keywords

explicit relationsApostol-type Frobenius-Euler polynomialssymmetric identitiesoperational connectionthree-variable Hermite polynomials

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Binomial coefficients; factorials; (q)-identities (11B65) Bernoulli and Euler numbers and polynomials (11B68)

Related Items (2)

Identities and relations for Hermite-based Milne-Thomson polynomials associated with Fibonacci and Chebyshev polynomials ⋮ The multi-variable unified family of generalized Apostol-type polynomials

Cites Work

• Identities for Apostol-type Frobenius-Euler polynomials resulting from the study of a nonlinear operator
• Some new identities of Frobenius-Euler numbers and polynomials
• A determinantal approach to Sheffer-Appell polynomials via monomiality principle
• Identities involving Frobenius-Euler polynomials arising from non-linear differential equations
• An identity of the symmetry for the Frobenius-Euler polynomials associated with the fermionic \(p\)-adic invariant \(q\)-integrals on \({\mathbf Z}_p\)
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Weak solutions in elasticity of dipolar porous materials
• Generalized Hermite polynomials and supergaussian forms
• Generalized polynomials, operational identities and their applications
• Higher-order Frobenius-Euler and poly-Bernoulli mixed-type polynomials
• Umbral calculus associated with Frobenius-type Eulerian polynomials
• Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
• Several identities for the generalized Apostol-Bernoulli polynomials
• Identities for degenerate Bernoulli polynomials and Korobov polynomials of the first kind
• An identity of symmetry for the Bernoulli polynomials
• Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
• Hermite-based Appell polynomials: Properties and applications
• Eulerian Numbers and Polynomials
• An identity of symmetry for the degenerate Frobenius-Euler Polynomials
• Operational Methods and New Identities for Hermite Polynomials
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