A Comprehensive Treatment of q-Calculus by Thomas Ernst

By Thomas Ernst

To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. ordinarily, the cumbersome Gasper-Rahman notation used to be used, however the released works on q-calculus seemed diverse counting on the place and by way of whom they have been written. This confusion of tongues not just advanced the theoretical improvement but in addition contributed to q-calculus ultimate a ignored mathematical box. This ebook overcomes those difficulties through introducing a brand new and fascinating notation for q-calculus in accordance with logarithms.For example, q-hypergeometric services are actually visually transparent and simple 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 before has been overlooked.

The publication covers many themes on q-calculus, together with targeted services, combinatorics, and q-difference equations. except an intensive evaluation of the old improvement of q-calculus, this publication additionally provides the domain names of recent physics for which q-calculus is appropriate, comparable to particle physics and supersymmetry, to call only a few.​  

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A Comprehensive Treatment of q-Calculus

Up to now, the theoretical improvement of q-calculus has rested on a non-uniform foundation. quite often, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus seemed diverse looking on the place and via 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.

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