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ABSTRACT A polynomial sequence is symmetric, or self-dual, if for all . In this paper, we give the characterization of the exponential symmetric Sheffer sequences with weight sequences, and show… Click to show full abstract
ABSTRACT A polynomial sequence is symmetric, or self-dual, if for all . In this paper, we give the characterization of the exponential symmetric Sheffer sequences with weight sequences, and show that all the symmetric Sheffer sequences with weight , or are in fact constant multiples of the Charlier polynomial sequence, the Meixner polynomial sequence, or the Krawtchouk polynomial sequence, respectively, where are the rising factorials, and are the falling factorials.
Keywords:
characterization exponential;
symmetric sheffer;
polynomial sequence;
sheffer sequences;
exponential symmetric
Journal Title: Integral Transforms and Special Functions
Year Published: 2020
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Journal Title: Integral Transforms and Special Functions
Year Published: 2020
Link to full text (if available)
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recommendations!