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Titlebook: A Comprehensive Treatment of q-Calculus; Thomas Ernst Book 2012 Springer Basel 2012 q-Appell function.q-Bernoulli numbers.q-gamma function

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發(fā)表于 2025-3-21 16:50:00 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
期刊全稱A Comprehensive Treatment of q-Calculus
影響因子2023Thomas Ernst
視頻videohttp://file.papertrans.cn/141/140331/140331.mp4
發(fā)行地址Covers many topics on q-calculus, i.e. special functions, combinatorics, q-difference equations and q-Bernoulli numbers.Detailed coverage of the historical development of q-calculus.Summarizes the dom
圖書(shū)封面Titlebook: A Comprehensive Treatment of q-Calculus; Thomas Ernst Book 2012 Springer Basel 2012 q-Appell function.q-Bernoulli numbers.q-gamma function
影響因子.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.? ?.
Pindex Book 2012
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