A Comprehensive Treatment of q-Calculus

di Thomas Ernst (Autore)

Birkhauser Verlag AG, 2014

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.?  

• Autore: Thomas Ernst
• Editore: Birkhauser Verlag AG
• Anno: 2014
• Rilegatura: Paperback / softback
• Pagine: 492 p.
• Dimensioni: 235 x 155 mm
• EAN: 9783034808064

Testo in English