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)
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.
basic analogue of the exponential function
scientific article; zbMATH DE number 3889901