A Comprehensive Treatment of q-Calculus - Couverture rigide

Ernst, Thomas

Couverture rigide

ISBN 10 : 303480430X ISBN 13 : 9783034804301

Editeur : Springer Basel, 2012

Synopsis

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.​

Détails de l'édition

• Éditeur: Springer Basel
• Date d'édition: 2012
• Langue: anglais
• ISBN 10: 303480430X
• ISBN 13: 9783034804301
• Reliure: Relié
• Nombre de pages: 508
• Coordonnées du fabricant: ProductSafety@springernature.com; ProductSafety@springernature.com; ; Poststr. 9; Darmstadt; 64293; Allemagne