A new family of differential and integral equations of hybrid polynomials via factorization method

Raziya Sabri; Mohammad Shadab; Kotakkaran Sooppy Nisar; Shahadat Ali

doi:10.3934/math.2022764

A new family of differential and integral equations of hybrid polynomials via factorization method

Raziya Sabri
, Mohammad Shadab
, Kotakkaran Sooppy Nisar
, Shahadat Ali

Mathematics

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

2 Scopus citations

Abstract

In this study, we investigate differential and integral equations of some hybrid families of truncated exponential-based Sheffer polynomials. We also derive some integro-differential equation and new recurrence relations for the truncated exponential based Sheffer polynomials by using the factorization method. We also discuss some special cases as illustrative examples.

Original language	English
Pages (from-to)	13845-13855
Number of pages	11
Journal	AIMS Mathematics
Volume	7
Issue number	8
DOIs	https://doi.org/10.3934/math.2022764
State	Published - 2022

Keywords

differential equations
factorization methods
integral equations
integro-differential equation
truncated exponential based Sheffer polynomials

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10.3934/math.2022764

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title = "A new family of differential and integral equations of hybrid polynomials via factorization method",

abstract = "In this study, we investigate differential and integral equations of some hybrid families of truncated exponential-based Sheffer polynomials. We also derive some integro-differential equation and new recurrence relations for the truncated exponential based Sheffer polynomials by using the factorization method. We also discuss some special cases as illustrative examples.",

keywords = "differential equations, factorization methods, integral equations, integro-differential equation, truncated exponential based Sheffer polynomials",

author = "Raziya Sabri and Mohammad Shadab and Nisar, \{Kotakkaran Sooppy\} and Shahadat Ali",

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AU - Sabri, Raziya

AU - Shadab, Mohammad

AU - Nisar, Kotakkaran Sooppy

AU - Ali, Shahadat

PY - 2022

Y1 - 2022

N2 - In this study, we investigate differential and integral equations of some hybrid families of truncated exponential-based Sheffer polynomials. We also derive some integro-differential equation and new recurrence relations for the truncated exponential based Sheffer polynomials by using the factorization method. We also discuss some special cases as illustrative examples.

AB - In this study, we investigate differential and integral equations of some hybrid families of truncated exponential-based Sheffer polynomials. We also derive some integro-differential equation and new recurrence relations for the truncated exponential based Sheffer polynomials by using the factorization method. We also discuss some special cases as illustrative examples.

KW - differential equations

KW - factorization methods

KW - integral equations

KW - integro-differential equation

KW - truncated exponential based Sheffer polynomials

UR - https://www.scopus.com/pages/publications/85130994595

U2 - 10.3934/math.2022764

DO - 10.3934/math.2022764

M3 - Article

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SP - 13845

EP - 13855

JO - AIMS Mathematics

JF - AIMS Mathematics

IS - 8

ER -

A new family of differential and integral equations of hybrid polynomials via factorization method

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Keywords

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