A Comprehensive Treatment of q-Calculus

Author:   Thomas Ernst
Publisher:   Birkhauser Verlag AG
Edition:   2012 ed.
ISBN:  

9783034808064


Pages:   492
Publication Date:   15 October 2014
Format:   Paperback
Availability:   Manufactured on demand   Availability explained
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A Comprehensive Treatment of q-Calculus


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Author:   Thomas Ernst
Publisher:   Birkhauser Verlag AG
Imprint:   Birkhauser Verlag AG
Edition:   2012 ed.
Dimensions:   Width: 15.50cm , Height: 2.60cm , Length: 23.50cm
Weight:   0.771kg
ISBN:  

9783034808064


ISBN 10:   3034808062
Pages:   492
Publication Date:   15 October 2014
Audience:   College/higher education ,  Postgraduate, Research & Scholarly
Format:   Paperback
Publisher's Status:   Active
Availability:   Manufactured on demand   Availability explained
We will order this item for you from a manufactured on demand supplier.

Table of Contents

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.​

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