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A Comprehensive Treatment of q-Calculus

Author: Thomas Ernst
Publisher: Basel : Springer Basel : Imprint : Birkhäuser, 2012.
Edition/Format:   eBook : Document : EnglishView all editions and formats
Publication:A comprehensive treatment of q-calculus.
Summary:

Addressing the persistently divergent views on notation that have hampered the development of q-calculus theory, this potent new notation method is based on logarithms. The book covers a multitude of  Read more...

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Additional Physical Format: Druckausg.
Material Type: Document, Internet resource
Document Type: Internet Resource, Computer File
All Authors / Contributors: Thomas Ernst
ISBN: 9783034804318 3034804318 9783034804301 303480430X 9781283625043 1283625040
OCLC Number: 812052479
In: Ernst, Thomas
Notes: Mathematics and Statistics (Springer-11649).
Description: 1 Online-Ressource
Contents: 1 Introduction.- 2 The different languages of q.- 3 Pre q-Analysis.- 4 The q-umbral calculus and the semigroups. The Norlund 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.
Responsibility: by Thomas Ernst.

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