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Extended forms of Legendre-Gould-Hopper-Appell polynomials

GHAZALA YASMIN|ABDULGHANI MUHYI
장전수학회 (Jangjeon Mathematical Society)|2019.10|Advanced Studies in Contemporary Mathematics|제29권 제4호|pp. 489-504

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참고문헌

키워드

Appell sequencesLegendre-Gould-Hopper polynomialsEuler's integralDeterminant de nitionOperational methods
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초록

In this article, the extended class of Legendre-Gould-Hopper- Appell polynomials are introduced using integral transform and operational method which are fairly useful tools to deal with new families of special polynomials. Some important properties including operational representation, generating function, series de nitions, determinant definition and some other identities of this class are established. Certain members of extended Legendre-Gould-Hopper-Appell polynomials are also considered.

Abstract

In this article, the extended class of Legendre-Gould-Hopper- Appell polynomials are introduced using integral transform and operational method which are fairly useful tools to deal with new families of special polynomials. Some important properties including operational representation, generating function, series de nitions, determinant definition and some other identities of this class are established. Certain members of extended Legendre-Gould-Hopper-Appell polynomials are also considered.

참고문헌 (21)

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