Thomas Ernst

(Author)

A Comprehensive Treatment of Q-Calculus (2012)Paperback - 2012, 15 October 2014

A Comprehensive Treatment of Q-Calculus (2012)
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Print Length
492 pages
Language
English
Publisher
Birkhauser
Date Published
15 Oct 2014
ISBN-10
3034808062
ISBN-13
9783034808064

Description

To date, the theoretical development of q-calculus has rested on a non-uniform basis. Generally, the bulky Gasper-Rahman notation was used, but the published works on q-calculus looked different depending on where and by whom they were written. This confusion of tongues not only complicated the theoretical development but also contributed to q-calculus remaining a neglected mathematical field. This book overcomes these problems by introducing a new and interesting notation for q-calculus based on logarithms.For instance, q-hypergeometric functions are now visually clear and easy to trace back to their hypergeometric parents. With this new notation it is also easy to see the connection between q-hypergeometric functions and the q-gamma function, something that until now has been overlooked.

The book covers many topics on q-calculus, including special functions, combinatorics, and q-difference equations. Apart from a thorough review of the historical development of q-calculus, this book also presents the domains of modern physics for which q-calculus is applicable, such as particle physics and supersymmetry, to name just a few.​

Product Details

Author:
Thomas Ernst
Book Edition:
2012
Book Format:
Paperback
Country of Origin:
NL
Date Published:
15 October 2014
Dimensions:
23.39 x 15.6 x 2.59 cm
Genre:
Science/Technology Aspects
ISBN-10:
3034808062
ISBN-13:
9783034808064
Language:
English
Location:
Basel
Pages:
492
Publisher:
Weight:
703.07 gm

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