Certain integrals involving generalized Mittag-Leffler type functions-Reference-Cited by-同舟云学术

Certain integrals involving generalized Mittag-Leffler type functions

Published:2022 Issue:4 Volume:70 Page:797-817
ISSN:0042-8469
Container-title:Vojnotehnicki glasnik
language:en
Short-container-title:Vojnotehnički glasnik

Author:

Haq Sirazul^ORCID,Aphane Maggie^ORCID,Khan Mohammad^ORCID,Fabiano Nicola^ORCID

Abstract

Introduction/purpose: Certain integrals involving the generalized Mittag-Leffler function with different types of polynomials are established. Methods: The properties of the generalized Mittag-Leffler function are used in conjunction with different kinds of polynomials such as Jacobi, Legendre, and Hermite in order to evaluate their integrals. Results: Some integral formulae involving the Legendre function, the Bessel Maitland function and the generalized hypergeometric functions are derived. Conclusions: The results obtained here are general in nature and could be useful to establish further integral formulae involving other kinds of polynomials.

Publisher

Centre for Evaluation in Education and Science (CEON/CEES)

Subject

General Engineering

Link

https://scindeks-clanci.ceon.rs/data/pdf/0042-8469/2022/0042-84692204797H.pdf

Reference23 articles.

1. Dorrego, G.A. & Cerutti R.A. 2012. The k-Mittag-Leffler function. International Journal of Contemporary Mathematics Sciences, 7(15), pp.705-716 [online]. Available at: http://www.m-hikari.com/ijcms/ijcms-2012/13-16-2012/ceruttiIJCMS13-16-2012-2.pdf [Accessed: 20 August 2022];

2. Erdelyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F.G. 1953a. Higher transcendental functions Volume 1 (Bateman Manuscript Project) [online]. New York, Toronto and London: McGraw-Hill Book Company. Available at: https://authors.library.caltech.edu/43491/19/Volume%201.pdf [Accessed: 20 August 2022];

3. Erdelyi, A., Magnus, W., Oberhettinger, F. & Tricomi, F.G. 1953b. Higher transcendental functions Volume 3 (Bateman Manuscript Project) [online]. New York, Toronto and London: McGraw-Hill Book Company. Available at: https://authors.library.caltech.edu/43491/10/Volume%203.pdf [Accessed: 20 August 2022];

4. Faraj, A.W., Salim, T.O., Sadek, S. & Ismail, J. 2013. Generalized Mittag-Leffler Function Associated with Weyl Fractional Calculus Operators. Journal of Mathematics, 2013(art ID:821762). Available at: https://doi.org/10.1155/2013/821762;

5. Gehlot, K.S. 2021. The generalized k-Mittag-Leffler function. International Journal of Contemporary Mathematical Sciences, 7, pp.2213-2219;

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