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A. Singh1 , B.K. Singh2
- Department of Mathematics (Ph.D. scholar), J.P. University, Chapra, India.
- Department of Mathematics, J.P. University, Chapra, India.
Section:Research Paper, Product Type: Journal-Paper
Vol.6 ,
Issue.4 , pp.51-57, Apr-2020
Online published on Apr 30, 2020
Copyright © A. Singh, B.K. Singh . This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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IEEE Style Citation: A. Singh, B.K. Singh, “Expansion of the Generalized Hypergeometric Polynomial Set Bn (x1,x2,x3) in Terms of G1?1 (x1r,s1,p1),” International Journal of Scientific Research in Multidisciplinary Studies , Vol.6, Issue.4, pp.51-57, 2020.
MLA Style Citation: A. Singh, B.K. Singh "Expansion of the Generalized Hypergeometric Polynomial Set Bn (x1,x2,x3) in Terms of G1?1 (x1r,s1,p1)." International Journal of Scientific Research in Multidisciplinary Studies 6.4 (2020): 51-57.
APA Style Citation: A. Singh, B.K. Singh, (2020). Expansion of the Generalized Hypergeometric Polynomial Set Bn (x1,x2,x3) in Terms of G1?1 (x1r,s1,p1). International Journal of Scientific Research in Multidisciplinary Studies , 6(4), 51-57.
BibTex Style Citation:
@article{Singh_2020,
author = {A. Singh, B.K. Singh},
title = {Expansion of the Generalized Hypergeometric Polynomial Set Bn (x1,x2,x3) in Terms of G1?1 (x1r,s1,p1)},
journal = {International Journal of Scientific Research in Multidisciplinary Studies },
issue_date = {4 2020},
volume = {6},
Issue = {4},
month = {4},
year = {2020},
issn = {2347-2693},
pages = {51-57},
url = {https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1886},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1886
TI - Expansion of the Generalized Hypergeometric Polynomial Set Bn (x1,x2,x3) in Terms of G1?1 (x1r,s1,p1)
T2 - International Journal of Scientific Research in Multidisciplinary Studies
AU - A. Singh, B.K. Singh
PY - 2020
DA - 2020/04/30
PB - IJCSE, Indore, INDIA
SP - 51-57
IS - 4
VL - 6
SN - 2347-2693
ER -
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Abstract :
In the present paper an attempt has been made to express the polynomial set Bn (x1,x2,x3), in terms of G1?1 (x1r,s1,p1). Many interesting new results may be obtained as particular cases on specializing the parameters. Out of these particular results some of them stand for well known polynomials and some of them are believed to be new. These polynomials are of utmost importance for scientists and engineers, because they occur in the solution of differential equation, integral equation etc. Which describe physical problem. Many orthogonal polynomials have their wide application in quantum mechanics, chemical kinetics and electromagnetic theory etc.
Key-Words / Index Term :
Hypergeometric Polynomial, Lauricella function, Orthogonal Polynomial, Generating relation, Integral equation.
References :
[1]. Singh Amrita and Singh Brijendra Kr. “Unification of certain generalized polynomial Set Bn(x1,x2,x3) associated with Lauricella functions” Research Guru on line Journal.” Vol.12, Issue-3, (ISSN: 2349- 266X), December 2018.
[2]. J.L. Burchnall, and T.W. Chaundy, “Expansions of Appell’s double hyper geometric functions (ii)” Quart. J. Math. Oxford ser. 12, pp.112 – 128, 1941.
[3]. Aruna srivastav. and R.C. Tomar “On a set of polynomials ? G?_i^(?^` ) (x^e,s^`,p`) -II vijana paridshad anusandhan patrika” vol. 24 no. 3, pp.233 – 239, 1981.
[4]. P. Humbert, “Sur certains polynomes orthogonaux.” C.R. Acad. sci. Paris, 176, pp.1282 – 1284, 1923.
[5]. E.D. Rainville, “Special functions.” MacMillan Co. New York, 1960.
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