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Some Properties of a-Gaussian Polynomials
Ananta Kr. Bora1
Section:Research Paper, Product Type: Journal-Paper
Vol.6 ,
Issue.5 , pp.63-67, Oct-2019
CrossRef-DOI: https://doi.org/10.26438/ijsrmss/v6i5.6367
Online published on Oct 31, 2019
Copyright © Ananta Kr. Bora . 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: Ananta Kr. Bora, “Some Properties of a-Gaussian Polynomials,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.5, pp.63-67, 2019.
MLA Style Citation: Ananta Kr. Bora "Some Properties of a-Gaussian Polynomials." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.5 (2019): 63-67.
APA Style Citation: Ananta Kr. Bora, (2019). Some Properties of a-Gaussian Polynomials. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(5), 63-67.
BibTex Style Citation:
@article{Bora_2019,
author = {Ananta Kr. Bora},
title = {Some Properties of a-Gaussian Polynomials},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {10 2019},
volume = {6},
Issue = {5},
month = {10},
year = {2019},
issn = {2347-2693},
pages = {63-67},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1545},
doi = {https://doi.org/10.26438/ijcse/v6i5.6367}
publisher = {IJCSE, Indore, INDIA},
}
RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i5.6367}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1545
TI - Some Properties of a-Gaussian Polynomials
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - Ananta Kr. Bora
PY - 2019
DA - 2019/10/31
PB - IJCSE, Indore, INDIA
SP - 63-67
IS - 5
VL - 6
SN - 2347-2693
ER -
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Abstract :
In [1] George E. Andrews studied a- Gaussian polynomials. In this paper we obtain some properties, q-analogue of binomial coefficient and partition theoretic interpretation of these polynomials
Key-Words / Index Term :
a-Gaussian polynomials, Gaussian polynomials, q shifted factorial, partitions
References :
[1] G.E Andrews, “ a-Gaussian Polynomials and Finite Rogers-Ramanujan Identities”, Theory and Application of special Functions pp. 59-67,Vol. 13 Springer.
[2] G.E. Andrews, “ Problem 74-12,S.I.A.M Review, 16 (1974),390.
[3] G.E. Andrews, “ The Theory of partitions” Addision-Wesley, Reading, 1976.
[4] G.E. Andrews, “q-Trinomial coefficients and the Rogers-Ramanujan identities Analytic Number theory ,pp 1-11, B.Berndt et al. eds.,Birkhauser, Boston, 1990.
[5] W.N. Bailey, “Identities of Rogers-Ramanujan type, Proc. Lond. Math. Soc (2),50 (1949),1-10.
[6] D.M.Bressoud, Solution to problem 74-12 SIAM, Review, 23(1981),101-104
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