Identities on Bell polynomials and Sheffer sequences |
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| Authors: | Weiping Wang Tianming Wang |
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| Institution: | Department of Applied Mathematics, Dalian University of Technology, Dalian 116024, PR China |
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| Abstract: | In this paper, we study exponential partial Bell polynomials and Sheffer sequences. Two new characterizations of Sheffer sequences are presented, which indicate the relations between Sheffer sequences and Riordan arrays. Several general identities involving Bell polynomials and Sheffer sequences are established, which reduce to some elegant identities for associated sequences and cross sequences. |
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| Keywords: | Associated sequences Bell polynomials Cross sequences Riordan arrays Sheffer sequences Combinatorial identities |
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