Limit formulas for \(q\)-exponential functions
type: Item
instance of: scholarly article
title: Limit formulas for \(q\)-exponential functions
zbMATH Open document ID: 0805.33017
DOI: 10.1016/0012-365X(94)90281-X
author: Don Rawlings
published in: Discrete Mathematics
publication date: 1994-04-04T00:00:00Z
review text: Basic analogues of two classical limit formulas for the exponential function are deduced. The main motivation is furnished by relating the first formula with the proof of a result on the probability of a \(q\)- random mapping. Two proofs of the main formulas are presented. The first depends upon Euler's fundamental theory of partitions and the second upon the properties of the \(q\)-binomial coefficient.
Mathematics Subject Classification ID: 33D15
Mathematics Subject Classification ID: 11P81
zbMATH DE Number: 540953
reviewed by: H. Exton
MaRDI profile type: Publication
cites work: Q4146776
cites work: Q3660083
cites work: Q4040884
cites work: Bernoulli Trials and Number Theory
full work available at URL: 0012-365x(94)90281-x
OpenAlex ID: W2086092588
description: scientific article; zbMATH DE number 540953