By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. typically, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus regarded assorted looking on the place and through whom they have been written. This confusion of tongues not just complex the theoretical improvement but in addition contributed to q-calculus closing a overlooked mathematical box. This e-book overcomes those difficulties through introducing a brand new and engaging notation for q-calculus in accordance with logarithms.For example, q-hypergeometric capabilities at the moment are visually transparent and simple to track again to their hypergeometric mom and dad. With this new notation it's also effortless to work out the relationship among q-hypergeometric services and the q-gamma functionality, whatever that previously has been overlooked.
The publication covers many themes on q-calculus, together with precise features, combinatorics, and q-difference equations. except an intensive assessment of the historic improvement of q-calculus, this ebook additionally offers the domain names of contemporary physics for which q-calculus is acceptable, similar to particle physics and supersymmetry, to call only a few.
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A Comprehensive Treatment of q-Calculus by Thomas Ernst