Results concerning the analysis of generalized Mittag-Leffler function associated with Euler type integrals

• Autorzy: Khan N. U. , Khan M. Iqbal

Identyfikatory

DOI

10.21008/j.0044-4413.2023.0004

• Języki publikacji: EN

Abstrakty

EN

In this paper, we obtain some results on certain Euler type integrals involving generalized Mittag-Leffler function defined by Salim and Faraj [20]. Further, we deduce some special cases involving Mittag-Leffler function, Wiman function, Prabhakar function, exponential, binomial and confluent hypergeometric functions. Moreover, we obtain a relation between Laguerre polynomials and Whittakar function.

Słowa kluczowe

EN

generalized Mittag-Leffler function; generalized Beta function; Euler-type integrals

• Wydawca: Wydawnictwo Politechniki Poznańskiej
• Czasopismo: Fasciculi Mathematici
• Rocznik: 2023
• Tom: nr 66
• Strony: 49--59
• Opis fizyczny: Bibliogr. 22 poz.

Twórcy

autor

Khan N. U.

• Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India

autor

Khan M. Iqbal

• Department of Applied Mathematics, Aligarh Muslim University, Aligarh-202002, India

Bibliografia

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• [19] Salim T.O., Some properties relating to the generalized Mittag-Leffler function, Adv. Appl. Math. Anal. 4(2009), 21-30.
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Uwagi

Opracowanie rekordu ze środków MEiN, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2022-2023).