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Polynomials of Binomial Type and Renewal Sequences
Author(s) -
Stam A. J.
Publication year - 1987
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/sapm1987773183
Subject(s) - mathematics , type (biology) , connection (principal bundle) , binomial (polynomial) , exponential function , generating function , binomial coefficient , negative binomial distribution , pure mathematics , function (biology) , binomial distribution , sequence (biology) , combinatorics , discrete mathematics , mathematical analysis , statistics , poisson distribution , geometry , ecology , evolutionary biology , biology , genetics
We study polynomials of binomial type that have an exponential generating function of the form { 1 − f ( u ) −x }. They have a close connection with renewal sequences. The asymptotic behavior as n − ∞ is studied.