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

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...

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Veröffentlicht in:International journal of applied and computational mathematics 2022-02, Vol.8 (1), Article 14
Hauptverfasser: Jain, Ravi Kumar, Bhargava, Alok, Rizwanullah, Mohd
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-021-01202-3