A Comprehensive Treatment of q-Calculus (Paperback, 2012 ed.)

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.

General

Imprint:	Birkhauser Verlag AG
Country of origin:	Switzerland
Release date:	October 2014
First published:	2012
Authors:	Thomas Ernst
Dimensions:	235 x 155 x 31mm (L x W x T)
Format:	Paperback
Pages:	492
Edition:	2012 ed.
ISBN-13:	978-3-03-480806-4
Categories:	Books > Science & Mathematics > Mathematics > Calculus & mathematical analysis > Functional analysis Books > Science & Mathematics > Mathematics > Number theory > General
LSN:	3-03-480806-2
Barcode:	9783034808064

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