International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
Call for Papers | Fully Refereed | Open Access | Double Blind Peer Reviewed

ISSN: 2319-7064


Downloads: 114 | Views: 197

Research Paper | Mathematics | India | Volume 9 Issue 7, July 2020


Application of the Generalized Difference Operator of the nth Kind

A. Abisha [2] | Dr. G. Dominic Babu


Abstract: In this paper, the authors extend the theory of the generalized difference operator ∆l to the Generalized difference operator of the n th kind L = {l1, l2, l3,. . . , ln} for the positive reals l1, l2, l3,. . . , ln and obtain some interesting results on n th kind. Also by defining its inverse, we establish a few formulae for the sum of third partial sums of products of several powers of the arithmetic progressions in number theory. Appropriate examples are provided to illustrate the results.


Keywords: Generalized difference operator, Generalized polynomial factorial, inverse operator


Edition: Volume 9 Issue 7, July 2020,


Pages: 1970 - 1983


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