q-Taylor and interpolation series for Jackson q-difference operators

被引：50

作者：

Annaby, M. H. ^{[1
]}

Mansour, Z. S. ^{[1
]}

机构：

[1] Cairo Univ, Fac Sci, Dept Math, Giza, Egypt

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2008年 / 344卷 / 01期

关键词：

q-Taylor series; Jackson q-difference operator;

D O I：

10.1016/j.jmaa.2008.02.033

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove q-Taylor series for Jackson q-difference operators. Absolute and uniform convergence to the original function are proved for analytic functions. We derive interpolation results for entire functions of q-exponential growth which is less than ln q(-1), 0 < q < 1, from its values at the nodes {aq(-n), n epsilon N}, a is a non-zero complex number with absolute and uniform convergence criteria. (c) 2008 Elsevier Inc. All rights reserved.

引用

页码：472 / 483

页数：12

共 17 条

[1] Q-ANALOGUES OF CAUCHYS FORMULAS [J].