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Item Details
| Title:
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A COMPREHENSIVE TREATMENT OF Q-CALCULUS
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| By: |
Thomas Ernst |
| Format: |
Hardback |
| List price:
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£89.99 |
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We currently do not stock this item, please contact the publisher directly for
further information.
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| ISBN 10: |
303480430X |
| ISBN 13: |
9783034804301 |
| Publisher: |
SPRINGER BASEL |
| Pub. date: |
8 September, 2012 |
| Edition: |
2012 ed. |
| Pages: |
492 |
| Description: |
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. |
| Synopsis: |
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.? |
| Illustrations: |
XVI, 492 p. |
| Publication: |
Switzerland |
| Imprint: |
Springer Basel |
| Returns: |
Returnable |
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