Decomposition and Group Theoretic Characterization of Pairs of Inverse Relations of the Riordan Type |
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| Authors: | Georgy P Egorychev Eugene V Zima |
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| Institution: | (1) Krasnoyarsk State Technical University, Kirenskogo 26, Krasnoyarsk, 660074, Russia;(2) University of Waterloo, 200 University Ave. W., Waterloo, Ontario, Canada, N2L 3G1 |
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| Abstract: | A new solution to Riordan s problem of combinatorial identities classification is presented. An algebgraic characterization of pairs of inverse relations of the Riordan type is given. The use of the integral representation approach for generating new types of combinatorial identities is demonstrated.
Supported in part by the National Sciences and Engineering Research Council of Canada on Grant NSERC-108343.Mathematics Subject Classifications (2000) combinatorics, algebra. |
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| Keywords: | inverse combinatorial relations matrices Riordan group |
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