Certain fractional q-derivative integral formulae for the basic analogue of multivariable H-function

F.Y. Ayant

doi:https://doi.org/10.14445/22315373/IJMTT-V63P515

International Journal of Mathematics Trends and Technology

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Volume 63 | Number 2 | Year 2018 | Article Id. IJMTT-V63P515 | DOI : https://doi.org/10.14445/22315373/IJMTT-V63P515

Certain fractional q-derivative integral formulae for the basic analogue of multivariable H-function

F.Y. Ayant

Abstract

In the present paper, we derive two theorem involving fractional q-integral operators of Erdélyi-Kober type and a basic analogue of multivariable Hfunction. Corresponding assertions for the Riemann-Liouville and Weyl fractional q-integral transforms are also presented. Several special cases of the main results have been illustrated in the concluding section.

Keywords

fractional q-integral operator, basic integration, basic analogue of multivariable H-function.

References

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Citation :

F.Y. Ayant, "Certain fractional q-derivative integral formulae for the basic analogue of multivariable H-function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 63, no. 2, pp. 118-123, 2018. Crossref, https://doi.org/10.14445/22315373/IJMTT-V63P515