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Frobenius Endomorphisms in the Umbral Calculus
Author(s) -
Morris Robert A.
Publication year - 1980
Publication title -
studies in applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.164
H-Index - 46
eISSN - 1467-9590
pISSN - 0022-2526
DOI - 10.1002/sapm198062185
Subject(s) - endomorphism , mathematics , laguerre polynomials , pure mathematics , binomial (polynomial) , convolution (computer science) , binomial coefficient , gaussian binomial coefficient , type (biology) , discrete mathematics , negative binomial distribution , ecology , statistics , machine learning , artificial neural network , computer science , poisson distribution , biology
Frobenius operators F n are introduced on sequences of binomial type. The Laguerre polynomials are essentially characterized by the property that F n coincides with n ‐fold binomial convolution.
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