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Download A Comprehensive Treatment of q-Calculus by Thomas Ernst PDF

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 was once used, however the released works on q-calculus regarded varied looking on the place and by means of whom they have been written. This confusion of tongues not just advanced the theoretical improvement but additionally contributed to q-calculus last a missed mathematical box. This e-book overcomes those difficulties through 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 work out the relationship among q-hypergeometric services and the q-gamma functionality, anything that formerly has been overlooked.

The booklet covers many subject matters on q-calculus, together with specified capabilities, combinatorics, and q-difference equations. except an intensive evaluation of the ancient improvement of q-calculus, this booklet additionally offers the domain names of contemporary physics for which q-calculus is acceptable, resembling particle physics and supersymmetry, to call only a few.​  

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