A New Class of Laguerre-based Frobenius Type Eulerian Numbers and Polynomials

Waseem Ahmad Khan; Kottakkaran Sooppy Nisar

doi:10.5269/bspm.52125

A New Class of Laguerre-based Frobenius Type Eulerian Numbers and Polynomials

Waseem Ahmad Khan
, Kottakkaran Sooppy Nisar

Mathematics

Prince Mohammad Bin Fahd University

Research output: Contribution to journal › Article › peer-review

1 Scopus citations

Abstract

In this article, we introduce a new class of generalized Laguerre-based Frobenius-type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well-known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.

Original language	English
Journal	Boletim da Sociedade Paranaense de Matematica
Volume	41
DOIs	https://doi.org/10.5269/bspm.52125
State	Published - 2023

Keywords

Frobenius-type Eulerian polynomials
Hermite polynomials
Laguerre polynomials
Laguerre-based Frobenius-type Eulerian polynomials
summation formulae
symmetric identities

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10.5269/bspm.52125

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abstract = "In this article, we introduce a new class of generalized Laguerre-based Frobenius-type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well-known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.",

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AU - Nisar, Kottakkaran Sooppy

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PY - 2023

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N2 - In this article, we introduce a new class of generalized Laguerre-based Frobenius-type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well-known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.

AB - In this article, we introduce a new class of generalized Laguerre-based Frobenius-type Eulerian polynomials and then derive diverse explicit and implicit summation formulae and symmetric identities by using series manipulation techniques. Multifarious summation formulas and identities are given earlier for some well-known polynomials such as Eulerian polynomials and Frobenius type Eulerian polynomials are generalized.

KW - Frobenius-type Eulerian polynomials

KW - Hermite polynomials

KW - Laguerre polynomials

KW - Laguerre-based Frobenius-type Eulerian polynomials

KW - summation formulae

KW - symmetric identities

UR - https://www.scopus.com/pages/publications/85147162774

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DO - 10.5269/bspm.52125

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JO - Boletim da Sociedade Paranaense de Matematica

JF - Boletim da Sociedade Paranaense de Matematica

ER -

A New Class of Laguerre-based Frobenius Type Eulerian Numbers and Polynomials

Abstract

Keywords

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