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A Comprehensive Treatment of Q-Calculus

Thomas Ernst
Livre relié | Anglais
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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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Contenu

Nombre de pages :
492
Langue:
Anglais

Caractéristiques

EAN:
9783034804301
Date de parution :
08-09-12
Format:
Livre relié
Format numérique:
Genaaid
Dimensions :
157 mm x 234 mm
Poids :
725 g

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