Binomial functions and combinatorial mathematics

DOI10.1016/0022-247X(79)90058-1zbMath0416.05007MaRDI QIDQ754209

Gloria Olive

Publication date: 1979

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

zbMATH Keywords

Stirling numberspolynomials of binomial typebinomial functiongeneralized powers

Mathematics Subject Classification ID

Factorials, binomial coefficients, combinatorial functions (05A10) Combinatorial identities, bijective combinatorics (05A19) Other special functions (33E99)

Related Items

A combinatorial approach to generalized powers, Binomial functions with the Stirling property, Catalan numbers revisited, Taylor series revisited, How To Generalize (and Not To Generalize) the Chu–Vandermonde Identity, Higher dimensional recursive matrices and diagonal delta sets of series

Cites Work

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• The b-transform
• The q-Stirling numbers of first and second kinds
• Applications of Basic Hypergeometric Functions
• A linear algebra setting for the rota-mullin theory of polynomials of binomial type
• An exposá of the mullin-rota theory of polynomials of binomial type
• Generalized Powers
• q-Bernoulli and Eulerian Numbers