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

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

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 variou...

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Veröffentlicht in:	Advances in difference equations 2021-07, Vol.2021 (1), p.1-18, Article 329
Hauptverfasser:	Cao, Jian, Zhou, Hong-Li, Arjika, Sama
Format:	Artikel
Sprache:	eng
Schlagworte:	Analysis Difference and Functional Equations Difference equations Fractional q-integrals Functional Analysis Functions (mathematics) Homogeneous q-difference equations Integrals Mathematical analysis Mathematics Mathematics and Statistics Ordinary Differential Equations Partial Differential Equations Polynomials Srivastava–Agarwal type generating functions U ( n + 1 ) $U(n+1)$ type generating function Verma–Jain polynomials
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Beschreibung
Zusammenfassung:	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 1687-1839 1687-1847
DOI:	10.1186/s13662-021-03484-9