On the three families of extended Laguerre-based Apostol-type polynomials

DOI10.22199/ISSN.0717-6279-2021-02-0019zbMath1504.33011OpenAlexW3132802196WikidataQ126177935 ScholiaQ126177935MaRDI QIDQ5027718

Waseem A. Khan, Mahmood A. Pathan

Publication date: 7 February 2022

Published in: Proyecciones (Antofagasta) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.22199/issn.0717-6279-2021-02-0019

zbMATH Keywords

Bell polynomialsGould-Hopper polynomialsFubini polynomialsextended Laguerre-based Apostol type polynomialsLaguerre type exponentialunified Apostol type polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83) Other special orthogonal polynomials and functions (33C47)

Cites Work

• A new class of generalized polynomials associated with Hermite and Euler polynomials
• Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
• Laguerrian eigenvalue problems and Wright functions
• A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
• \(p\)-adic distribution of the unification of the Bernoulli, Euler and Genocchi polynomials
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Operational formulas connected with two generalizations of Hermite polynomials
• Some results on quasi-monomiality.
• Hermite-based unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Laguerre-type exponentials and generalized Appell polynomials
• Exponential polynomials
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• A series transformation formula and related polynomials
• A new class of generalized Hermite–Bernoulli polynomials
• Apostol-Bernoulli functions, derivative polynomials and Eulerian polynomials
• Laguerre-type bessel functions
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