Polynomials of Binomial Type and Renewal Sequences | Zendy

Stam A. J. | Zendy

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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.

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