A Comprehensive Treatment of q-Calculus

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A Comprehensive Treatment of q-Calculus

種類:

電子ブック

責任表示:

by Thomas Ernst

出版情報:

Basel : Springer Basel : Imprint: Birkhäuser, 2012

著者名:

ISBN:

9783034804318 [3034804318]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-3-0348-0431-8

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子書誌情報

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詳細

主題:

Mathematics; Number Theory; Special Functions

分類・件名:

DC23 : 515.5
LCSH : Mathematics
LCSH : Functions, special
LCSH : Number theory
FREE : Mathematics
FREE : Special Functions
FREE : Number Theory

形態:

XVI, 495 p. 15 illus., 1 illus. in color : digital

目次情報:

1 Introduction
2 The different languages of q
3 Pre q-Analysis
4 The q-umbral calculus and the semigroups. The Nørlund calculus of finite diff
5 q-Stirling numbers
6 The first q-functions
7 An umbral method for q-hypergeometric series
8 Applications of the umbral calculus
9 Ciglerian q-Laguerre polynomials
10 q-Jacobi polynomials
11 q-Legendre polynomials and Carlitz-AlSalam polynomials
12 q-functions of many variables
13 Linear partial q-difference equations
14 q-Calculus and physics
15 Appendix: Other philosophies

1 Introduction
2 The different languages of q
3 Pre q-Analysis
4 The q-umbral calculus and the semigroups. The Nørlund calculus of finite diff
5 q-Stirling numbers
6 The first q-functions

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書誌ID:

KB00009909

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目次情報

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