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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 39 | Number 3 | Year 2016 | Article Id. IJMTT-V39P529 | DOI : https://doi.org/10.14445/22315373/IJMTT-V39P529

Multiple Integral Involving I-Function and Bessel-Maitland Functions


Prachi Jain, Arvind Gupta, V.P. Saxena
Abstract

The I-Function introduced by Saxena [6] is most generalized form of hyper geometric functions including Meijer [4] G-function and Fox [1] H-function. In this paper we have obtained certain new integrals of IFunction. Some special cases of these results have also been worked out. The deviations make use of certain classical functions.

Keywords
Generalised hypergeometric function, Fox’s H-function,Miejer’s G-function Saxena’s Ifunction,Bessel-Maitland function.
References

[1] Fox, C. (1961). The G and H-Functions as symmetrical Fourier kernels. Trans. Amer. Math. Soc., 98: 395-429.
[2] Fox, C. (1965). A formal solution of certain Dual Integral equations, Trans. Amer. Math. Soc., 115: 389-396.
[3] Kesarwani, R. N. (1965). A pair of un-symmetrical Fourier Kernel, Trans. Amer. Math. Soc., 115: 356-369.
[4] Meijer, C. S. (1941). Eine neue Erweiterung der Laplace-transformation (Erste Mitielung). Proc. Nededrl, Akad. Wet., Amsterdam, 44: 727-737.
[5] Saxena, R. K and Pogany, T. K. (2010). Mathieu-type series for the function occurring in Fokker-Planck equation. European Journal of pure and Applied Mathematics, 3: 980-988.
[6] Saxena, V. P. (1982). A formal solution of certain new pair of dual integral equations involving H-functions, Proc. Nat. Acad. Sci. India, 52(A)III: 366.
[7] Saxena, V. P. (2008). The I-function, Anamaya Publishers, New Delhi.
[8] Singh, M., Khan, M. A and Khan, A. H. (2014). On some properties of a generalization of Bessel-Maitland function, I. Jour. of Maths trends and Technology, (14)1:
[9] Wright, E. M. (1993). Generalised Bessel function. Jour.London math.Soc.18: 71.

Citation :

Prachi Jain, Arvind Gupta, V.P. Saxena, "Multiple Integral Involving I-Function and Bessel-Maitland Functions," International Journal of Mathematics Trends and Technology (IJMTT), vol. 39, no. 3, pp. 232-237, 2016. Crossref, https://doi.org/10.14445/22315373/IJMTT-V39P529

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