Downloading: Application of the Generalized Difference Operator of the nth Kind
International Journal of Science and Research (IJSR)

International Journal of Science and Research (IJSR)
www.ijsr.net | Open Access | Fully Refereed | Peer Reviewed International Journal

ISSN: 2319-7064



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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



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