Book 2012

A Comprehensive Treatment of q-Calculus

Authors:

ISBN: 978-3-0348-0430-1 (Print) 978-3-0348-0431-8 (Online)

Table of contents (12 chapters)

  1. Front Matter

    Pages I-XVI

  2. No Access

    Chapter

    Pages 1-25

    Introduction

  3. No Access

    Chapter

    Pages 27-61

    The different languages of q-calculus

  4. No Access

    Chapter

    Pages 63-95

    Pre q-Analysis

  5. No Access

    Chapter

    Pages 97-167

    The q-umbral calculus and semigroups. The Nørlund calculus of finite differences

  6. No Access

    Chapter

    Pages 169-193

    q-Stirling numbers

  7. No Access

    Chapter

    Pages 195-240

    The first q-functions

  8. No Access

    Chapter

    Pages 241-277

    q-hypergeometric series

  9. No Access

    Chapter

    Pages 279-307

    Sundry topics

  10. No Access

    Chapter

    Pages 309-358

    q-orthogonal polynomials

  11. No Access

    Chapter

    Pages 359-426

    q-functions of several variables

  12. No Access

    Chapter

    Pages 427-440

    Linear partial q-difference equations

  13. No Access

    Chapter

    Pages 441-446

    q-Calculus and physics

  14. Back Matter

    Pages 447-491