On Generalized Lagrange-Based Apostol-type and Related Polynomials

DOI10.46793/KgJMat2206.865KOpenAlexW4311449849MaRDI QIDQ5881377

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Publication date: 9 March 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/74/3_eng.html

zbMATH Keywords

Laguerre polynomialsLagrange polynomialsLagrange-Hermite polynomialsMiller-Lee polynomialsLagrange-based unified Apostol type polynomials

Mathematics Subject Classification ID

Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45)

Related Items (1)

A new class of Laguerre based Frobenius type Eulerian numbers and polynomials

Cites Work

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• Modification and unification of the Apostol-type numbers and polynomials and their applications
• Some implicit summation formulas and symmetric identities for the generalized Hermite-Bernoulli polynomials
• A unified presentation of the generating functions of the generalized Bernoulli, Euler and Genocchi polynomials
• Unified Apostol-Bernoulli, Euler and Genocchi polynomials
• Some symmetry identities for the Apostol-type polynomials related to multiple alternating sums
• Some series identities involving the generalized Apostol type and related polynomials
• Multiplication formulas for Apostol-type polynomials and multiple alternating sums
• Some Properties of the Generalized Apostol Type Hermite-Based Polynomials
• The multiplication formulas for the Apostol–Bernoulli and Apostol–Euler polynomials of higher order
• The lagrange polynomials in several variables
• The Lagrange Polynomials, the Associated Generalizations, and the Umbral Calculus
• On generalized Lagrange–Hermite–Bernoulli and related polynomials
• Some symmetry identities for the unified Apostol-type polynomials and multiple power sums
• On a multivariable extension of the Lagrange–Hermite polynomials
• A unified presentation of some families of multivariable polynomials

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