A Comprehensive Treatment of q-Calculus
Produktnummer:
16A19611056
| Autor: | Ernst, Thomas |
|---|---|
| Themengebiete: | Zahlentheorie |
| Veröffentlichungsdatum: | 08.09.2012 |
| EAN: | 9783034804301 |
| Auflage: | 2012 |
| Sprache: | Englisch |
| Seitenzahl: | 508 |
| Produktart: | Gebunden |
| Verlag: | Birkhäuser Basel Springer Basel Springer Basel AG |
Produktinformationen "A Comprehensive Treatment of q-Calculus"
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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