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Marichev-Saigo-Maeda Fractional Integration of Product of the K- Function and the -Function
Department of Mathematics Mata Gujri Mahila Mahavidyalaya (Autonomous), Jabalpur, M.P., India.
Research Article
International Journal of Science and Research Archive, 2023, 08(01), 507-513.
Article DOI: 10.30574/ijsra.2023.8.1.0098
Publication history:
Received on 15 December 2022; revised on 26 January 2023; accepted on 28 January 2023
Abstract:
Fractional calculus is an important branch of mathematical analysis which deals with investigations of integrals and derivatives of arbitrary order. It has been applied to almost every field of Science, Engineering and Mathematics. The aim of this paper is to study the generalized Marichev- Saigo- Maeda fractional integral operators. We will establish two theorems which give the image of the product of H-function and K-function in Saigo operators. Certain Special cases of main results are also discussed.
Keywords:
Marichev-Saigo-Maeda fractional integral operators; K-function; function; Generalized hypergeometric function
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