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Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm

S. Vidhya1 , G. Janaki2

Section:Research Paper, Product Type: Journal-Paper
Vol.6 , Issue.6 , pp.46-48, Dec-2019


CrossRef-DOI:   https://doi.org/10.26438/ijsrmss/v6i6.4648


Online published on Dec 31, 2019


Copyright © S. Vidhya, G. Janaki . 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: S. Vidhya, G. Janaki, “Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm,” International Journal of Scientific Research in Mathematical and Statistical Sciences, Vol.6, Issue.6, pp.46-48, 2019.

MLA Style Citation: S. Vidhya, G. Janaki "Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm." International Journal of Scientific Research in Mathematical and Statistical Sciences 6.6 (2019): 46-48.

APA Style Citation: S. Vidhya, G. Janaki, (2019). Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm. International Journal of Scientific Research in Mathematical and Statistical Sciences, 6(6), 46-48.

BibTex Style Citation:
@article{Vidhya_2019,
author = {S. Vidhya, G. Janaki},
title = {Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm},
journal = {International Journal of Scientific Research in Mathematical and Statistical Sciences},
issue_date = {12 2019},
volume = {6},
Issue = {6},
month = {12},
year = {2019},
issn = {2347-2693},
pages = {46-48},
url = {https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1625},
doi = {https://doi.org/10.26438/ijcse/v6i6.4648}
publisher = {IJCSE, Indore, INDIA},
}

RIS Style Citation:
TY - JOUR
DO = {https://doi.org/10.26438/ijcse/v6i6.4648}
UR - https://www.isroset.org/journal/IJSRMSS/full_paper_view.php?paper_id=1625
TI - Appraisal of the Sum of the Polygonal Numbers of Even Order from Stella Octangula Number and Pronic Number Using the Division Algorithm
T2 - International Journal of Scientific Research in Mathematical and Statistical Sciences
AU - S. Vidhya, G. Janaki
PY - 2019
DA - 2019/12/31
PB - IJCSE, Indore, INDIA
SP - 46-48
IS - 6
VL - 6
SN - 2347-2693
ER -

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Abstract :
We Present the sum of the Polygonal numbers of even order are derived from Stella Octangula number and Pronic number using division algorithm.

Key-Words / Index Term :
Polygonal numbers, The division algorithm, Stella Octangula number and Pronic number

References :
[1] R.D.Carmichael, “History of Theory of numbers and Diophantine Analysis”, Dover Publication, Newyork, 1959.
[2] L.J.Mordell, “Diophantine equations”, Academic press, London, 1969.
[3] T.Nagell, “Introduction to Number theory”, Chelsea publishing company, New york, 1981.
[4] Ivan Niven, Herbert, S.Zuckerman and Hugh L.Montgomery, “An Introduction to the theory of Numbers”, John Wiley and Sons Inc, New York 2004.
[5] A.W.Vyawahare, “A new function on divisibility”, The Mathematics Education XL, 122-128, 2006.
[6] M.A.Gopalan and V.Pandichelvi, “Two remarkable functions on divisibility”, Acta Ciencia Indica, XXXIV M (3), 1161, 2008.
[7] G.Janaki and S.Vidhya, “A novel approach of determining Stella Octangula number and Pronic number using initial value theorem in Z-transform”, International Journal of Statistics and Applied Mathematics, Vol. 2, Issue.6, pp.261-263, 2017.
[8] S.Vidhya and G.Janaki, “Special Dio 3-tuples for Pronic Number - I”, International Journal for Research in Applied Science & Engineering Technology, Vol.5, Issue.XI, pp.159-162, 2017.
[9] V.Pandichelvi and P.Sivagamasundari, “Evaluation of some centered polygonal numbers by using the division algorithm”, Journal of Mathematics and Informatics, vol.10, Special issue, pp.83-88, 2017.
[10] C.Saranya and G.Janaki, “Tracing of Polygonal number from Pyramidal numbers and pentatope number using Division Algorithm”, Aryabhatta Journal of Mathematics and Informatics, Vol.10, N0.2, pp.373-376, 2018.
[11] Vidhya S and Janaki G, “An integral solution of negative Pell’s equation involving two digit sphenic numbers”, International Journal of Computer Sciences and Engineering, Vol.6, Issue.7, pp.444-445, 2018.

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