Certain New Integrals Including Generalized Bessel-Maitland Function and M-Series

• Published in: International journal of applied and computational mathematics Vol. 8; no. 1
• Main Authors: Jain, Ravi Kumar, Bhargava, Alok, Rizwanullah, Mohd
• Format: Journal Article
• Language: English
• Published: New Delhi Springer India 01.02.2022; Springer Nature B.V
• Subjects: Applications of Mathematics; Applied mathematics; Computational mathematics; Computational Science and Engineering; Hypergeometric functions; Mathematical and Computational Physics; Mathematical Modeling and Industrial Mathematics; Mathematics; Mathematics and Statistics; Nuclear Energy; Operations Research/Decision Theory; Original Paper; Theoretical; Srivastava and Daoust multivariable hypergeometric function; 33C15; Wright generalized hypergeometric function; 33C10; Generalized bessel-maitland function; 26A33; 33C70; 33C60; Generalized mittag–leffler function; Generalized hypergeometric function; M-Series
• ISSN: 2349-5103; 2199-5796
• DOI: 10.1007/s40819-021-01202-3

The major aim of this paper is to develop four new generalized integral formulas. Out of these four formulas, two includes generalized Bessel-Maitland function J v , γ , δ μ , q , p z (which are explicited in the form of generalized hypergeometric function p F q ) and other two includes the product of generalized Bessel-Maitland function and generalized M-Series M r , s ; t , u α , β (which are explicited in the form of Srivastava and Daoust multivariable hypergeometric function F l : m 1 ; … m r p : q 1 ; … q r ). Further some other interesting results as particular cases of our main outcomes are also mentioned.