Application of the Generalized Difference Operator of the nth Kind

A. Abisha, 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

How to Cite?: A. Abisha, Dr. G. Dominic Babu, "Application of the Generalized Difference Operator of the nth Kind", Volume 9 Issue 7, July 2020, International Journal of Science and Research (IJSR), Pages: 1970-1983, https://www.ijsr.net/getabstract.php?paperid=SR20717140744, DOI: https://dx.doi.org/10.21275/SR20717140744