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International Journal of Mathematics Trends and Technology

Research Article | Open Access | Download PDF

Volume 66 | Issue 8 | Year 2020 | Article Id. IJMTT-V66I8P510 | DOI : https://doi.org/10.14445/22315373/IJMTT-V66I8P510

Certain Definite Integral Involving Struve and Modified Struve Function in the form of Hypergeometric Function


Izharul H Khan, Salahuddin
Abstract

In this paper we have developed certain definite integral involving Struve and modified struve Function in association with Hypergeometric function.

Keywords
Bessel Function, Hypergeometric Function, Struve function.
References

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[3] Brychkov,Y.A.; Handbook of Special Functions: Derivatives,Integrals,Series and Other Formulas. CRC Press,Taylor & Francis Group, London, U.K, 2008.
[4] Bowman, F.; Introduction to Bessel functions. Dover Publications Inc., New York, 1958.
[5] Gasper, G, Rahman, Mizan ; Basic Hypergeometric Series, Cambridge University Press, Cambridge CB2 2RU, UK, 2004.
[6] Gauss, C. F. ; Disquisitiones generales circa seriem infinitam ... , Comm. soc. reg. sci. Gott. rec., 2(1813), 123-162.
[7] Koepf, W.; Hypergeometric Summation: An Algorithmic Approach to Summation and Special Func- tion Identities. Braunschweig, Germany: Vieweg, 1998.
[8] Luke, Y. L.; Mathematical functions and their approximations. Academic Press Inc., London,, 1975.
[9] Mathai, A.M., Haubold, H.J. ; Special Functions for Applied Scientists, Springer , New York, 2008.
[10] P. Appell, Sur une formule de M. Tisserand et sur les fonctions hypergomtriques de deux variables, J. Math. Pures Appl., (3) 10 (1884) 407-428.
[11] Prudnikov, A.P., Brychkov, Yu. A. and Marichev, O.I.; Integral and Series Vol 3: More Special Functions,Nauka, Moscow,2003.
[12] Salahuddin, Husain, Intazar; Certain New Formulae Involving Modified Bessel Function of First Kind, Global Journal of Science Frontier Research (F),13(10)(2013),13-19.
[13] Salahuddin, Khola, R. K.;New hypergeometric summation formulae arising from the summation formulae of Prudnikov, South Asian Journal of Mathematics,4(2014),192-196.
[14] Steffensen, J. F.; Interpolation (2nd ed.),Dover Publications,U.S.A,2006.

Citation :

Izharul H Khan, Salahuddin, "Certain Definite Integral Involving Struve and Modified Struve Function in the form of Hypergeometric Function," International Journal of Mathematics Trends and Technology (IJMTT), vol. 66, no. 8, pp. 92-99, 2020. Crossref, https://doi.org/10.14445/22315373/IJMTT-V66I8P510

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