arXiv subjects

D. L. Suthar

Publications and source records attributed to D. L. Suthar.

3 recordsLinked to original sources

arXiv2019

Fractional Calculus and certain integrals of Generalized multiindex Bessel function

We aim to introduce the generalized multiindex Bessel function $J_{\left( β_{j}\right) _{m},κ,b}^{\left( α_{j}\right)_{m},γ,c}\left[ z\right] $ and to present some formulas of the Riemann-Liouville fractional integration and differentiation operators. Further, we also derive certain integral formulas involving the newly defined generalized multiindex Bessel function $J_{\left( β_{j}\right) _{m},κ,b}^{\left( α_{j}\right)_{m},γ,c}\left[ z\right] $. We prove that such integrals are expressed in terms of the Fox-Wright function $_{p}Ψ_{q}(z)$. The results presented here are of general in nature and easily reducible to new and known results.

math.CA↗

arXiv2016

Some unified integrals associated with generalized struve function

This paper is devoted for the study of a new generalization of Struve function type. In this paper , We establish four new integral formulas involving the Galue type Struve function, which are express in term of the generalized (Wright) hypergeometric functions. The result established here are general in nature and are likely to find useful in applied problem of Sciences, engineering and technology.

math.CA↗

arXiv2016

Integral transform of the Galue type Struve function

This paper refers to the study of generalized Struve type function. Using generalized Galue type Struve function (GTSF) by Nisar et al. [13], we derive various integral transform, including Euler transform, Laplace transform, Whittakar transform, K-transform and Fractional Fourier transform. The results are expressed in terms of generalized Wright function. The transform established here are general in nature and are likely to find useful in applied problem of Sciences, engineering and technology. Certain interesting special cases of the main results are also considered.

math.CA↗