By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. usually, the cumbersome Gasper-Rahman notation used to be used, however the released works on q-calculus seemed varied counting on the place and by way of whom they have been written. This confusion of tongues not just complex the theoretical improvement but additionally contributed to q-calculus closing a overlooked mathematical box. This ebook overcomes those difficulties by means of introducing a brand new and engaging notation for q-calculus according 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 features and the q-gamma functionality, anything that previously has been overlooked.
The booklet covers many subject matters on q-calculus, together with precise services, combinatorics, and q-difference equations. except a radical overview of the ancient improvement of q-calculus, this publication additionally provides the domain names of recent physics for which q-calculus is acceptable, corresponding to particle physics and supersymmetry, to call only a few.
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A Comprehensive Treatment of q-Calculus by Thomas Ernst