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A Comprehensive Treatment Of Qcalculus 1st Edition Thomas Ernst Auth

  • SKU: BELL-2611464
A Comprehensive Treatment Of Qcalculus 1st Edition Thomas Ernst Auth
$ 31.00 $ 45.00 (-31%)

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A Comprehensive Treatment Of Qcalculus 1st Edition Thomas Ernst Auth instant download after payment.

Publisher: Birkhäuser Basel
File Extension: PDF
File size: 7.13 MB
Pages: 492
Author: Thomas Ernst (auth.)
ISBN: 9783034804301, 303480430X
Language: English
Year: 2012
Edition: 1

Product desciption

A Comprehensive Treatment Of Qcalculus 1st Edition Thomas Ernst Auth by Thomas Ernst (auth.) 9783034804301, 303480430X instant download after payment.

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.​

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