On a family of the incomplete H-functions and associated integral transforms

• Autorzy: Bansal Manish Kumar , Kumar Devendra

Identyfikatory

DOI

10.1515/jaa-2020-2040

• Języki publikacji: EN

Abstrakty

EN

Recently, Srivastava, Saxena and Parmar [H. M. Srivastava, R. K. Saxena and R. K. Parmar, Some families of the incomplete H-functions and the incomplete H-functions and associated integral transforms and operators of fractional calculus with applications, Russ. J. Math. Phys. 25 (2018), no. 1, 116-138] suggested incomplete H-functions (IHF) that paved the way to a natural extension and decomposition of H-function and other connected functions as well as to some important closed-form portrayals of definite and improper integrals of different kinds of special functions of physical sciences. In this article, our key aim is to present some new integral transform (Jacobi transform, Gegenbauer transform, Legendre transform and Pδ-transform) of this family of incomplete H-functions. Further, we give several interesting new and known results which are special cases our key results.

Słowa kluczowe

EN

Jacobi transform; Rho delta-transform; incomplete H-functions; incomplete Fox-Wright psi-functions; incomplete gamma function

• Wydawca: De Gruyter
• Czasopismo: Journal of Applied Analysis
• Rocznik: 2021
• Tom: Vol. 27, nr 1
• Strony: 143--152
• Opis fizyczny: Bibliogr. 32 poz.

Twórcy

autor

Bansal Manish Kumar

• Department of Applied Sciences, Engineering College, Banswara-327001, Rajasthan, India

• https://orcid.org/0000-0002-7197-3729

autor

Kumar Devendra

• Department of Mathematics, University of Rajasthan, Jaipur 302004, Rajasthan, India

• https://orcid.org/0000-0003-4249-6326

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa Nr 461252 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2021)