On basic Horn hypergeometric functions H3 and H4

The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4 . Some properties of our main results are also constructed.

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Vydáno v:Advances in difference equations Ročník 2020; číslo 1
Hlavní autor: Shehata, Ayman
Médium: Journal Article
Jazyk:angličtina
Vydáno: Cham Springer International Publishing 01.12.2020
Springer Nature B.V
Témata:
Analysis
Applications
Difference and Functional Equations
Functional Analysis
Hypergeometric functions
Mathematics
Mathematics and Statistics
Methods
Ordinary Differential Equations
Partial Differential Equations
Topics in Special Functions and q-Special Functions: Theory
derivatives
05A30
11B83
33A10
basic Horn hypergeometric functions
33D70
Quantum calculus
Contiguous relations
11B68
33D15
ISSN:1687-1839, 1687-1847
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Popis
Shrnutí:The purpose of this work is to demonstrate several interesting contiguous function relations and q -differential formulas for basic Horn hypergeometric functions H 3 and H 4 . Some properties of our main results are also constructed.
Bibliografie:ObjectType-Article-1
SourceType-Scholarly Journals-1
ObjectType-Feature-2
content type line 14
ISSN:1687-1839
1687-1847
DOI:10.1186/s13662-020-03056-3