Title of article
q-Taylor theorems, polynomial expansions, and interpolation of entire functions Original Research Article
Author/Authors
Mourad E.H. Ismail ، نويسنده , , Mourad E. H. Ismail and Dennis Stanton، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2003
Pages
22
From page
125
To page
146
Abstract
We establish q-analogues of Taylor series expansions in special polynomial bases for functions analytic in bounded domains and for entire functions whose maximum modulus M(r;f) satisfies |ln M(r;f)|⩽A ln2 r. This solves the problem of constructing such entire functions from their values at [aqn+q−n/a]/2, for 0
Keywords
Carlsonיs theorem , q-Taylor series , Askey–Wilson operators , q-exponential function , Integral representations , Polynomial bases
Journal title
Journal of Approximation Theory
Serial Year
2003
Journal title
Journal of Approximation Theory
Record number
852151
Link To Document