Q762656
type: Item
instance of: scholarly article
title: Rationale Approximation des \(q\)-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion. (Rational approximation of the \(q\)-analogue of the exponential function and irrationality statements for this function)
zbMATH Open document ID: 0558.33004
DOI: 10.1007/BF01193781
author: Rolf Wallisser
published in: Archiv der Mathematik
publication date: 1985-01-01T00:00:00Z
review text: By means of the judicious use of the \(q\)-differential and multiplicative difference operators, a rational approximation of \(E_ q(x)\), a basic analogue of the exponential function, is deduced. Explicit series representations of the associated approximation polynomials are also given. In conclusion, an irrational representation of the same function is obtained using similar techniques.
Mathematics Subject Classification ID: 11J72
Mathematics Subject Classification ID: 33C05
Mathematics Subject Classification ID: 41A20
zbMATH DE Number: 3889901
zbMATH Keywords: difference operators
zbMATH Keywords: basic analogue of the exponential function
zbMATH Keywords: irrational representation
reviewed by: H. Exton
MaRDI profile type: Publication
cites work: Q3660083
cites work: Q5508372
full work available at URL: https://doi.org/10.1007/bf01193781
OpenAlex ID: W2027455003
label: Rationale Approximation des \(q\)-Analogons der Exponentialfunktion und Irrationalitätsaussagen für diese Funktion. (Rational approximation of the \(q\)-analogue of the exponential function and irrationality statements for this function)
description: scientific article; zbMATH DE number 3889901