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Generalized sequences with applications to the discrete calculus

Generalized sequences with applications to the discrete calculus

Introduction. Mikusiñski [17] has introduced a theory of generalized functions which is algebraic in nature.Generalized functions are introduced in a way which is analogous to the extension of the concept of number from integers to rationals.In this paper, an analogous theory of "generalized sequences" is constructed for the discrete calculus.This …