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Problemy Analiza — Issues of Analysis, 2020, Volume 9(27), Issue 1, Pages 96–109
DOI: https://doi.org/10.15393/j3.art.2020.7030 (Mi pa291) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Finite integral formula involving Aleph-function and generalized Mittag–Leffler function

D. Kumara, F. Y. Ayantb, A. Singhc, P. K. Banerjid

a Department of Applied Sciences, College of Agriculture, Sumerpur-Pali, Agriculture University of Jodhpur, Jodhpur–342007 (Rajasthan), India
b Collége Jean L'herminier, Allée des Nymphéas, 83500 La Seyne-sur-Mer, France; Six-Fours-les-Plages 83140, Department of Var, France
c Department of Mathematics & Statistics, Banasthali Vidyapith, Banasthali-304021(Raj.), India
d Department of Mathematics & Statistics, Jai Narain Vyas University, Jodhpur–342005 (Raj.) India
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DOI: https://doi.org/10.15393/j3.art.2020.7030
Abstract: The aim of this paper is to establish general definite integrals involving product of the Aleph function and the generalized Mittag-Leffler function with general arguments. This integral yields a number of known results as special cases. For the sake of illustration, several corollaries are also presented as special case of our main results.
Keywords: aleph-function, i-function, h-function, generalized Mittag–Leffler function.
Received: 23.09.2019
Revised: 15.01.2020
Accepted: 15.01.2020
Bibliographic databases:
Document Type: Article
UDC: 517.58, 517.444, 517.521.1
MSC: Primary 33C60, 33C99, 33E12; Secondary 33C05, 33C45
Language: English
Citation: D. Kumar, F. Y. Ayant, A. Singh, P. K. Banerji, “Finite integral formula involving Aleph-function and generalized Mittag–Leffler function”, Probl. Anal. Issues Anal., 9(27):1 (2020), 96–109
Citation in format AMSBIB
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\paper Finite integral formula involving Aleph-function and generalized Mittag--Leffler function
\jour Probl. Anal. Issues Anal.
\yr 2020
\vol 9(27)
\issue 1
\pages 96--109
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\crossref{https://doi.org/10.15393/j3.art.2020.7030}
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  • https://www.mathnet.ru/eng/pa/v27/i1/p96
    • This publication is cited in the following 2 articles:
    1. Dinesh Kumar, Frédéric Ayant, Kottakkaran Sooppy Nisar, Daya Lal Suthar, “On Fractional q-Integral Operators Involving the Basic Analogue of Multivariable Aleph-Function”, Proc. Natl. Acad. Sci., India, Sect. A Phys. Sci., 93:2 (2023), 211  crossref
    2. Dinesh Kumar, Frédéric Ayant, Poonam Nirwan, D.L. Suthar, Hari M. Srivastava, “Boros integral involving the generalized multi-index Mittag-Leffler function and incomplete I-functions”, Research in Mathematics, 9:1 (2022)  crossref
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Problemy Analiza — Issues of Analysis
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    Full-text PDF :71
    References:28
     
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