By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. in general, the cumbersome Gasper-Rahman notation used to be used, however the released works on q-calculus regarded assorted reckoning on the place and by means of whom they have been written. This confusion of tongues not just advanced the theoretical improvement but in addition contributed to q-calculus closing a ignored mathematical box. This ebook overcomes those difficulties via introducing a brand new and fascinating notation for q-calculus in response to logarithms.For example, q-hypergeometric features at the moment are visually transparent and straightforward to track again to their hypergeometric mom and dad. With this new notation it's also effortless to determine the relationship among q-hypergeometric services and the q-gamma functionality, whatever that formerly has been overlooked.
The ebook covers many subject matters on q-calculus, together with distinctive capabilities, combinatorics, and q-difference equations. except a radical evaluation of the historic improvement of q-calculus, this booklet additionally provides the domain names of recent physics for which q-calculus is acceptable, resembling particle physics and supersymmetry, to call only a few.
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A Comprehensive Treatment of q-Calculus by Thomas Ernst