Solutions of Some Integrals in Hypergeometric Functions and their Generalization in Double Series Identities


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Authors

  • Usha Gill Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Faridabad, Haryana, India
  • Ranjana Shrivastava Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Faridabad, Haryana, India
  • Kaleem A. Quraishi Department of Applied Sciences and Humanities, Mewat Engineering College (Waqf), Palla, Nuh, Mewat, Haryana, India
  • Z. A. Taqvi Department of Applied Sciences and Humanities, Al-Falah School of Engineering and Technology, Faridabad, Haryana, India

Keywords:

Pochhammer Symbol, Gaussian Hypergeometric Function, Bounded Sequences, Multiple Series Identities, Srivastava-Daoust double Hypergeometric Function, Kampe de Feriet double Hypergeometric Function

Abstract

In this paper, we obtain solutions of some integrals in the form of hypergeometric functions. Further, we generalize these integrals in the form of double series identities involving bounded sequences. We also derive hypergeometric forms of these identities involving Gaussian hypergeometric function, Srivastava-Daoust double hypergeometric function and Kampe de Feriet double hypergeometric function.

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Published

20-12-2015

How to Cite

Usha Gill, Ranjana Shrivastava, Kaleem A. Quraishi, & Z. A. Taqvi. (2015). Solutions of Some Integrals in Hypergeometric Functions and their Generalization in Double Series Identities. International Journal of Mathematics And Its Applications, 3(4 - C), 25–33. Retrieved from http://ijmaa.in/index.php/ijmaa/article/view/504

Issue

Vol. 3 No. 4 - C (2015)

Section

Research Article

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This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.