A Comprehensive Treatment of Q-Calculus 2012 Edition Contributor(s): Ernst, Thomas (Author) |
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ISBN: 303480430X ISBN-13: 9783034804301 Publisher: Birkhauser
Binding Type: Hardcover - See All Available Formats & Editions Published: September 2012 |
Additional Information |
BISAC Categories: - Mathematics | Number Theory - Mathematics | Mathematical Analysis - Mathematics | Calculus |
Dewey: 515.55 |
Physical Information: 1.3" H x 6.2" W x 9.2" L (1.60 lbs) 492 pages |
Descriptions, Reviews, Etc. |
Publisher 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. |
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