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A Comprehensive Treatment of q-Calculus

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Cover of 'A Comprehensive Treatment of q-Calculus'

Table of Contents

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    Book Overview
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    Chapter 1 Introduction
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    Chapter 2 The different languages of q -calculus
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    Chapter 3 Pre q -Analysis
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    Chapter 4 The q -umbral calculus and semigroups. The Nørlund calculus of finite differences
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    Chapter 5 q -Stirling numbers
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    Chapter 6 The first q -functions
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    Chapter 7 q -hypergeometric series
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    Chapter 8 Sundry topics
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    Chapter 9 q -orthogonal polynomials
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    Chapter 10 q -functions of several variables
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    Chapter 11 Linear partial q -difference equations
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    Chapter 12 q -Calculus and physics
Attention for Chapter 4: The q -umbral calculus and semigroups. The Nørlund calculus of finite differences
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