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B.K. Singh1
Section:Research Paper, Product Type: Journal-Paper
Vol.6 ,
Issue.6 , pp.37-45, Jun-2020
Online published on Jun 30, 2020
Copyright © 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: B.K. Singh, “Some Additional Generating Functions for The Generalized Hypergeometric Polynomials of Three Variables,” International Journal of Scientific Research in Multidisciplinary Studies , Vol.6, Issue.6, pp.37-45, 2020.
MLA Style Citation: B.K. Singh "Some Additional Generating Functions for The Generalized Hypergeometric Polynomials of Three Variables." International Journal of Scientific Research in Multidisciplinary Studies 6.6 (2020): 37-45.
APA Style Citation: B.K. Singh, (2020). Some Additional Generating Functions for The Generalized Hypergeometric Polynomials of Three Variables. International Journal of Scientific Research in Multidisciplinary Studies , 6(6), 37-45.
BibTex Style Citation:
@article{Singh_2020,
author = {B.K. Singh},
title = {Some Additional Generating Functions for The Generalized Hypergeometric Polynomials of Three Variables},
journal = {International Journal of Scientific Research in Multidisciplinary Studies },
issue_date = {6 2020},
volume = {6},
Issue = {6},
month = {6},
year = {2020},
issn = {2347-2693},
pages = {37-45},
url = {https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1975},
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
UR - https://www.isroset.org/journal/IJSRMS/full_paper_view.php?paper_id=1975
TI - Some Additional Generating Functions for The Generalized Hypergeometric Polynomials of Three Variables
T2 - International Journal of Scientific Research in Multidisciplinary Studies
AU - B.K. Singh
PY - 2020
DA - 2020/06/30
PB - IJCSE, Indore, INDIA
SP - 37-45
IS - 6
VL - 6
SN - 2347-2693
ER -
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Abstract :
In this paper, an effort has been done to simplify some additional generating functions for the generalized hypergeometric polynomial set Rn(X1,X2,X3) followed by important and interesting particular cases. Out of these particular results some of them stand for well known polynomial and some of them are believed to be new. Those additional generating functions are of at most important for mathematicians, scientists and engineers.
Key-Words / Index Term :
Additional generating function, Lauricella function, Generalized hypergeometric function
References :
[1] R.K. Singh, B.K. Singh, ?Unification and Application of Certain Hypergeometric Polynomials of Three Variables?, Int. J. of Scientific Research in Mathematical and Statistical Sciences, Vol.7, Issue 2,e.ISSN:2348-4519,pp.122-131. April 2020.
[2] J.L. Burchnall, T. W. Chaundy, ?Expansions of Appell?s double hypergeometric functions-II, Quarterly J. Math., Oxford, 12, pp.112-128,1941.
[3] P. N. Srivastava, ?Classical polynomiuls-A unified presentation pub? Inst. Math. (Beograd) (N.S.) tome 23(37), pp.167-177, 1978.
[4] K. N. Srivastava, ?Some polynomials related to the Laguerre polynomials?,J. Ind. Math. Vol. 28, 2, pp.43-50,1964.
[5] E. D. Rainville, ?Generating functions for Bcsscl and related polynomials?,Canad. J. Math. 5, pp.245 (12), 1953.
[6] P. Humbert, ?Some extensions of Pincherle`s polynomials? Proceedings of the Edinburgh Mathematical Society, 39, pp.21-24.1920.
[7] R. Panda, Thesis on ?A generalized polynomial An(x)? Banaras Hindu University, 1967.
[8] F. Brafman, ?Some generating functions for Laguerre and Hermite polynomials. Canad. J. Math., 9, pp.180-187, 1957.
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