On q-extension of Laurent expansion with applications

In this article, Cauchy’s integral formula for nth q-derivative of analytic functions is established and used to introduce a new proof to q-Taylor series by means of using the residue calculus in the complex analysis. Some theorems related to this formula are presented. A q-extension of a Laurent ex...

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Bibliographic Details
Main Author: Ahmed Salem
Format: Article
Language:English
Published: Emerald Publishing 2014-01-01
Series:Arab Journal of Mathematical Sciences
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S1319516613000169