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

By Thomas Ernst

To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. mostly, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus seemed diversified counting on the place and by means of whom they have been written. This confusion of tongues not just complex the theoretical improvement but additionally contributed to q-calculus final a missed mathematical box. This publication overcomes those difficulties via introducing a brand new and engaging 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 work out the relationship among q-hypergeometric services and the q-gamma functionality, whatever that beforehand has been overlooked.

The e-book covers many issues on q-calculus, together with precise features, combinatorics, and q-difference equations. except an intensive evaluation of the old improvement of q-calculus, this ebook additionally offers the domain names of recent physics for which q-calculus is acceptable, equivalent to particle physics and supersymmetry, to call only a few.​  

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A Comprehensive Treatment of q-Calculus by Thomas Ernst

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