Diagram Technique for Hypergeometric Series of Several Variables |
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Authors: | A. V. Niukkanen P. A. Niukkanen |
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Affiliation: | (1) Vernadsky Institute of Geochemistry and Analytical Chemistry, Russian Academy of Sciences, ul. Kosygina 19, Moscow, 117975, Russia;(2) Tula State University, pr. Lenina 92, Tula, 300012, Russia |
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Abstract: | A convenient graphical algorithm for searching and constructing explicit analytical representations of all hypergeometric series belonging to any given class is proposed. The algorithm is based on a set of rules that define a one-to-one correspondence between analytic representations of series and diagrams. The algorithm can be easily implemented in the form of a computer program. |
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