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A Comprehensive Treatment of q-CalculusIntroduction

A Comprehensive Treatment of q-Calculus: Introduction [In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. In the q-analysis, we make formal proofs as follows. The validity of the obtained formula depends on the different parts of the proof. A typical proof in q-analysis looks as follows:] http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png

A Comprehensive Treatment of q-CalculusIntroduction

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Publisher
Springer Basel
Copyright
© Springer Basel 2012
ISBN
978-3-0348-0430-1
Pages
1 –25
DOI
10.1007/978-3-0348-0431-8_1
Publisher site
See Chapter on Publisher Site

Abstract

[In q-calculus we are looking for q-analogues of mathematical objects, which have the original object as limits when q tends to 1. In the q-analysis, we make formal proofs as follows. The validity of the obtained formula depends on the different parts of the proof. A typical proof in q-analysis looks as follows:]

Published: Jun 18, 2012

Keywords: Theta Function; Formal Power Series; Summation Formula; Nonstandard Analysis; Reduction Formula

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