The Ramanujan's \(q\)-extension for the exponential function and statistical distributions
type: Item
instance of: scholarly article
title: The Ramanujan's \(q\)-extension for the exponential function and statistical distributions
zbMATH Open document ID: 0774.62012
DOI: 10.1007/BF02014585
author: Gang Li
author: Kai-Tai Fang
published in: Acta Mathematicae Applicatae Sinica. English Series
publication date: 1993-05-25T00:00:00Z
review text: Using the \(q\)-extension for the exponential function the authors generalize the normal, Poisson and other distributions. For these distributions which include the original ones as special cases for \(q\uparrow 1\) characteristic functions and formulas for moments are established.
Mathematics Subject Classification ID: 62E10
Mathematics Subject Classification ID: 60E05
Mathematics Subject Classification ID: 33D05
zbMATH DE Number: 177976
zbMATH Keywords: \(q\)-series
zbMATH Keywords: normal
zbMATH Keywords: chi-square
zbMATH Keywords: gamma
zbMATH Keywords: \(q\)-beta distribution
zbMATH Keywords: \(q\)-uniform distribution
zbMATH Keywords: Poisson distribution
zbMATH Keywords: \(q\)-extension
zbMATH Keywords: exponential function
zbMATH Keywords: characteristic functions
zbMATH Keywords: moments
MaRDI profile type: Publication
cites work: Q4177796
cites work: Theq-Gamma andq-Beta Functions†
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cites work: Completely monotonic functions associated with the gamma function and its q-analogues
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cites work: Q4144019
description: scientific article; zbMATH DE number 177976