Boros integral involving the generalized multi-index Mittag-Leffler function and incomplete I-functions

被引：4

作者：

Kumar, Dinesh ^{[1
]}

Ayant, Frederic ^{[2
]}

Nirwan, Poonam ^{[3
]}

Suthar, D. L. ^{[4
]}

机构：

[1] Agr Univ Jodhpur, Coll Agr, Dept Appl Sci, Jodhpur, Rajasthan, India

[2] Coll Jean Lherminier, Allee Des Nympheas, La Seyne Sur Me, France

[3] Jai Narain Vyas Univ, Dept Math & Stat, Jodhpur, Rajasthan, India

[4] Wollo Univ, Dept Math, POB 1145, Dessie, Amhara, Ethiopia

来源：

RESEARCH IN MATHEMATICS | 2022年 / 9卷 / 01期

关键词：

Incomplete Gamma function; Incomplete I-function; Mellin-Barnes integrals contour; Boros integral; Generalized multi-index Mittag-Leffler function; FRACTIONAL CALCULUS; ALEPH-FUNCTION; OPERATORS;

D O I：

10.1080/27684830.2022.2086761

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The aim of this manuscript is to evaluate the Boros integral with three parameters involving the incomplete I-functions and generalized multi-index Mittag-Leffler function. As a special case of our main result some interesting corollaries are given.

引用

页码：1 / 7

页数：7

共 17 条

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Srivastava, H. M.
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MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2018, 41 (16) : 6108 - 6121
[2] DIFFERENTIAL AND INTEGRAL RELATIONS IN THE CLASS OF MULTI-INDEX MITTAG-LEFFLER FUNCTIONS
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FRACTIONAL CALCULUS AND APPLIED ANALYSIS, 2018, 21 (01) : 254 - 265
[3] Differential and integral relations in the class of multi-index Mittag-Leffler functions
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Fractional Calculus and Applied Analysis, 2018, 21 : 254 - 265
[4] CERTAIN FRACTIONAL INTEGRAL AND FRACTIONAL DERIVATIVE FORMULAE WITH THEIR IMAGE FORMULAE INVOLVING GENERALIZED MULTI-INDEX MITTAG-LEFFLER FUNCTION
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[5] Integral Equations Involving Generalized Mittag-Leffler Function
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MATHEMATICS, 2022, 10 (22)
[7] Boros Integral Involving the Product of Special Functions and the Incomplete I-Function
Bhatter, Nishant Sanjay
Suthar, Daya Lal
Purohit, Sunil Dutt
BOLETIM SOCIEDADE PARANAENSE DE MATEMATICA, 2025, 43
[8] FINITE INTEGRAL FORMULA INVOLVING ALEPH-FUNCTION AND GENERALIZED MITTAG-LEFFLER FUNCTION
Kumar, D.
Ayant, F. Y.
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[9] On the multi-index Mittag-Leffler series and their boundary behaviour
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INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS, 2015, 26 (03) : 152 - 164
[10] The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
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COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2010, 59 (05) : 1885 - 1895

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