A Comprehensive Treatment of q-Calculus

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A Comprehensive Treatment of q-Calculus
Format:
Bog, paperback
Udgivelsesdato:
14-04-2014
Sprog:
Engelsk
Udgave:
2012 ed..
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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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Bog, hardback

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ISBN13:
9783034808064
Vægt:
771 g
Dybde:
26 mm
Bredde:
155 mm
Højde:
235 mm
Forlag:
Springer Basel
Format:
Paperback
  • Forfattere

  • Bibliotekernes beskrivelse

    Addressing the persistently divergent views on notation that have hampered the development of q-calculus theory, this potent new notation method is based on logarithms. The book covers a multitude of q-notation topics and outlines its uses in modern physics. 1 Paperback / softback XVI, 492 p.

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A Comprehensive Treatment of q-Calculus

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  • Forventet levering 18-09-2019

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