A Comprehensive Treatment of Q-Calculus

by Thomas Ernst

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1 Introduction.- 2 The different languages of q.- 3 Pre q-Analysis.- 4 The q-umbral calculus and the semigroups. The N rlund 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.

Format:Paperback

Language:English

ISBN:3034808062

ISBN13:9783034808064

Release Date:October 2014

Publisher:Birkhauser

Length:492 Pages

Weight:1.55 lbs.

Dimensions:1.0" x 6.1" x 9.2"

Related Subjects

Math Mathematics Science & Math

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A Comprehensive Treatment of Q-Calculus

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