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A new theorem on multidimensional generating relations and its applications

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The authors prove a general theorem on multidimensional generating relations. As applications of this general theorem, a number of (known or new) generating functions of several variables are deduced. Connections of the various generating functions, which are presented in this paper, with several known results are also considered.

Abstract

The authors prove a general theorem on multidimensional generating relations. As applications of this general theorem, a number of (known or new) generating functions of several variables are deduced. Connections of the various generating functions, which are presented in this paper, with several known results are also considered.

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