A Comprehensive Treatment of q-Calculus

Released on by Thomas Ernst
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  • A Comprehensive Treatment of q-Calculus Book Detail

  • Author : Thomas Ernst
  • Release Date : 2012-09-08
  • Publisher : Springer Science & Business Media
  • Genre : Mathematics
  • Pages : 491
  • ISBN 13 : 303480430X
  • File Size : 44,44 MB
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A Comprehensive Treatment of q-Calculus by Thomas Ernst PDF Summary

Book 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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A Comprehensive Treatment of q-Calculus

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File Size : 44,44 MB
Total View : 6185 Views
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