A comprehensive treatment of q-calculus
Ernst Thomas ([Ernst Thomas , ], 2012)
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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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No. Panggil : | e20419141 |
Subjek : | |
Penerbitan : | New York : [Ernst Thomas , ], 2012 |
Sumber Pengatalogan: | LibUI eng rda |
Tipe Konten: | text |
Tipe Media: | computer |
Tipe Pembawa: | online resource |
Deskripsi Fisik: | |
Tautan: | http://link.springer.com/book/10.1007%2F978-3-0348-0431-8 |
Lembaga Pemilik: | |
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No. Panggil | No. Barkod | Ketersediaan |
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e20419141 | TERSEDIA |
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