Generating functions for vector partition functions and a basic recurrence relation |
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| Authors: | Alexander P Lyapin Sreelatha Chandragiri |
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| Institution: | 1. School of Mathematics &2. Computer Science, Siberian Federal University, Krasnoyarsk, Russia;3. Lesosibirsk Pedagogical Institute – Branch of Siberian Federal University, Lesosibirsk, Russiaaplyapin@sfu-kras.ru |
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| Abstract: | ABSTRACTWe define a generalized vector partition function and derive an identity for the generating series of such functions associated with solutions to basic recurrence relations of combinatorial analysis. As a consequence we obtain the generating function of the number of generalized lattice paths and a new version of the Chaundy-Bullard identity for the vector partition function. |
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| Keywords: | Generating function basic recurrence relation vector partition function Chaundy–Bullard identity |
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