Fractional q-Integral Operators for the Product of a q-Polynomial and q-Analogue of the I-Functions and Their Applications
In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-fractional integrals of Erdélyi–Kober type and generalized Weyl type fr...
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| Autores principales: | , , , |
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| Formato: | article |
| Lenguaje: | EN |
| Publicado: |
Hindawi Limited
2021
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| Materias: | |
| Acceso en línea: | https://doaj.org/article/640d9a39673748f7accbf5477f146598 |
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| Sumario: | In this article, we derive four theorems concerning the fractional integral image for the product of the q-analogue of general class of polynomials with the q-analogue of the I-functions. To illustrate our main results, we use q-fractional integrals of Erdélyi–Kober type and generalized Weyl type fractional operators. The study concludes with a variety of results that can be obtained by using the relationship between the Erdélyi–Kober type and the Riemann–Liouville q-fractional integrals, as well as the relationship between the generalized Weyl type and the Weyl type q-fractional integrals. |
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