Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and fractional q-integrals

Generalized homogeneous q-difference equations for q-polynomials and their applications to generating functions and fractional q-integrals

Abstract In this paper, our aim is to build generalized homogeneous q-difference equations for q-polynomials. We also consider their applications to generating functions and fractional q-integrals by using the perspective of q-difference equations. In addition, we also reveal relevant relations of v...

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Bibliographic Details
Main Authors: Jian Cao, Hong-Li Zhou, Sama Arjika
Format: Article
Language:English
Published: SpringerOpen 2021-07-01
Series:Advances in Difference Equations
Subjects:
Homogeneous q-difference equations
Verma–Jain polynomials
Srivastava–Agarwal type generating functions
Fractional q-integrals
U ( n + 1 ) $U(n+1)$ type generating function
Online Access:https://doi.org/10.1186/s13662-021-03484-9
Description
Summary:Abstract In this paper, our aim is to build generalized homogeneous q-difference equations for q-polynomials. We also consider their applications to generating functions and fractional q-integrals by using the perspective of q-difference equations. In addition, we also reveal relevant relations of various special cases of our main results involving some known results.
ISSN:1687-1847

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