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A Comprehensive Treatment of Q-Calculus

A Comprehensive Treatment of Q-Calculus

Paperback

CalculusGeneral Mathematics

ISBN10: 3034808062
ISBN13: 9783034808064
Publisher: Birkhauser
Published: Oct 15 2014
Pages: 492
Weight: 1.55
Height: 1.02 Width: 6.14 Depth: 9.21
Language: English

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.

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General Mathematics