A Comprehensive Treatment of q Calculus is popular PDF and ePub book, written by Thomas Ernst in 2012-09-13, it is a fantastic choice for those who relish reading online the Mathematics genre. Let's immerse ourselves in this engaging Mathematics book by exploring the summary and details provided below. Remember, A Comprehensive Treatment of q Calculus can be Read Online from any device for your convenience.
A Comprehensive Treatment of q Calculus Book PDF Summary
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.
Detail Book of A Comprehensive Treatment of q Calculus PDF
- Author : Thomas Ernst
- Release : 13 September 2012
- Publisher : Springer Science & Business Media
- ISBN : 9783034804318
- Genre : Mathematics
- Total Page : 492 pages
- Language : English
- PDF File Size : 7,8 Mb
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