Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials

The object of this paper is to established the Kober fractional integral operator of the generalized basic hypergeometric function.Interestingly Kober fractional integral operator of various q-polynomials have been expressed in terms of the basic analogue of Kamp˙e de F˙eriet function.Some special cases have been deduced as an application of main result.

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Publication Details

Journal
Zenodo (CERN European Organization for Nuclear Research)
Published
2025-04-23
DOI
https://doi.org/10.5281/zenodo.15268504
Primary Topic
Analytic and geometric function theory
Type
article
Field-Weighted Citation Impact
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Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials

Zenodo (CERN European Organization for Nuclear Research)
Analytic and geometric function theory
article

Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials

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Abstract

The object of this paper is to established the Kober fractional integral operator of the generalized basic hypergeometric function.Interestingly Kober fractional integral operator of various q-polynomials have been expressed in terms of the basic analogue of Kamp˙e de F˙eriet function.Some special cases have been deduced as an application of main result.

Zenodo (CERN European Organization for Nuclear Research)
Department of Commerce (AU)
Openalex Percentile: Top 53%
Analytic and geometric function theory
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Certain q-Kober fractional integral operator of generalized basic hypergeometric functions and q-polynomials · Zenodo (CERN European Organization for Nuclear Research) (2025) | TGRS Research Map | TGRS