Integral Transforms of the Generalized Mittag Leffler Type Function

Abstract: This paper refers to some integral transforms of the generalised Mittag-Leffler type function. Using generalized ࢗࡾ function ࢽ;ࢼ,ࢻ ࢖ (ࢠ) ࢑ defined by Kapoor [7], various integral transform, including Euler transform, Laplace transform, Whittaker transform, Mellin Transform and Hankel transform are derived. The results are expressed in the form of generalized Wright function. Based on the new result some integral formula with different special functions established as special cases of main results for different values of parameters.

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Publication Details

Journal
International Journal for Research in Applied Science and Engineering Technology
Published
2025-05-18
DOI
https://doi.org/10.22214/ijraset.2025.70921
Primary Topic
Mathematical functions and polynomials
Type
article
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article

Integral Transforms of the Generalized Mittag Leffler Type Function

Seema Kabra
International Journal for Research in Applied Science and Engineering Technology
Mathematical functions and polynomials
article

Integral Transforms of the Generalized Mittag Leffler Type Function

Seema Kabra
article en

Abstract

Abstract: This paper refers to some integral transforms of the generalised Mittag-Leffler type function. Using generalized ࢗࡾ function ࢽ;ࢼ,ࢻ ࢖ (ࢠ) ࢑ defined by Kapoor [7], various integral transform, including Euler transform, Laplace transform, Whittaker transform, Mellin Transform and Hankel transform are derived. The results are expressed in the form of generalized Wright function. Based on the new result some integral formula with different special functions established as special cases of main results for different values of parameters.

International Journal for Research in Applied Science and Engineering TechnologyVol. 13(5)
Openalex Percentile: Top 84%
Mathematical functions and polynomials
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Integral Transforms of the Generalized Mittag Leffler Type Function — Seema Kabra · International Journal for Research in Applied Science and Engineering Technology (2025) | TGRS Research Map | TGRS