Convergence and Extended Linear Generating Function for Generalized Hypergeometric Function
N. Srimannarayana1, B. Satyanarayana2, D. Ramesh3
1N. Srimannarayana, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur (Andhra Pradesh), India.
2B. Satyanarayana, Department of Mathematics, Acharya Nagarjuna University, Nagarjuna Nagar, (Andhra Pradesh), India.
3D. Ramesh, Department of Mathematics, Koneru Lakshmaiah Education Foundation, Vaddeswaram, Guntur (Andhra Pradesh), India.
Manuscript received on 19 October 2019 | Revised Manuscript received on 25 October 2019 | Manuscript Published on 02 November 2019 | PP: 3577-3579 | Volume-8 Issue-2S11 September 2019 | Retrieval Number: B14450982S1119/2019©BEIESP | DOI: 10.35940/ijrte.B1445.0982S1119
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© The Authors. Blue Eyes Intelligence Engineering and Sciences Publication (BEIESP). This is an open access article under the CC-BY-NC-ND license (http://creativecommons.org/licenses/by-nc-nd/4.0/)
Abstract: The subject of Special functions has a lot importance during the last few decades. The intend of this work is to test the convergence and to introduce the extended linear generating relation for the generalized hypergeometric function. The result is followed by its applications to the classical polynomials.
Keywords: Generalized Hypergeometric Polynomial, Hypergeometric Polynomials Modified Jacobi Polynomial, Laguerre Polynomial.
Scope of the Article: Cryptography and Applied Mathematics