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

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Abstract

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 \( J_{v,\gamma ,\delta }^{\mu ,q,p} \left[ z \right] \) (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 \(M_{r,s;t,u}^{\alpha ,\beta }\) (which are explicited in the form of Srivastava and Daoust multivariable hypergeometric function \(F_{{l:m_{1} ; \ldots m_{r} }}^{{p:q_{1} ; \ldots q_{r} }}\)). Further some other interesting results as particular cases of our main outcomes are also mentioned.

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  1. Department of Mathematics and Statistics, Manipal University Jaipur, Jaipur, Rajasthan, India

    Ravi Kumar Jain, Alok Bhargava & Mohd. Rizwanullah

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  1. Ravi Kumar Jain
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  2. Alok Bhargava
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  3. Mohd. Rizwanullah
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Correspondence to Alok Bhargava.

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Jain, R.K., Bhargava, A. & Rizwanullah, M. Certain New Integrals Including Generalized Bessel-Maitland Function and M-Series. Int. J. Appl. Comput. Math 8, 14 (2022). https://doi.org/10.1007/s40819-021-01202-3

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