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Application of the Generalized Difference Operator of the nth Kind

Journal: International Journal of Science and Research (IJSR) (Vol.9, No. 7)

Publication Date:

Authors : ; ;

Page : 1970-1983

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

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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.

Last modified: 2021-06-28 17:09:23