On several new Laplace transforms of generalized hypergeometric functions 2F2(x)

Resumo

By employing generalizations of Gauss's second, Bailey's and Kummer's summation theorems obtained earlier by Rakha and Rathie, we aim to establish unknown Laplace transform of six rather general formulas of generalized hypergeometric function 2F2[a,b;c,d;x]. The results obtained in this paper are simple, interesting, easily established and may be useful in theoretical physics, engineering and mathematics. Results obtained earlier by Kim et al. and Choi and Rathie follow special cases of our main findings.

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Biografia do Autor

Asmaa Orabi Mohammed, Faculty of Science Suez Canal University

Department of Mathematics

Medhat A. Rakha, Faculty of Science Suez Canal University

Department of Mathematics

Mohammed M. Awad, Faculty of Science Suez Canal University

Department of Mathematics

Arjun K. Rathie, Vedant College of Engineering & Technology

Department of Mathematics

,(Rajasthan Technical University), Village Tulsi, Post Jakhmund, Distt. Bundi, Rajasthan State - INDIA

Referências

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J. L. Lavoie, F. Grondin and A. K. Rathie, Generalizations of Whipple’s theorem on the sum of a 3F2(1), J. of Comput. and Appl. Math., Vol. 72, no. 2, pp. 293-300, (1996).

J. L. Lavoie, F. Grondin, A. K. Rathie and K. Arora, Generalizations of Dixon’s theorem on the sum of a 3F2(1), Math. of Comput., pp.267-276, (1994).

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Y. S. Kim, A. K. Rathie and C. H. Lee, New Laplace transforms of the generalized hypergeometric function 2F2, Honam Mathematical J., Vol. 37, pp.245-252, (2015).

Y. S. Kim, M. A. Rakha and A. K. Rathie, Extensions of certain classical summation theorems for the series 2F1, 3F2, and 4F3 with applications in Ramanujan’s summations, International Journal of Mathematics and Mathematical Sciences, (2010).

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Publicado
2020-10-10
Seção
Artigos