By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. mostly, the cumbersome Gasper-Rahman notation used to be used, however the released works on q-calculus seemed diversified counting 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 ultimate a overlooked mathematical box. This booklet overcomes those difficulties through introducing a brand new and engaging notation for q-calculus in response to logarithms.For example, q-hypergeometric services 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 capabilities and the q-gamma functionality, whatever that before has been overlooked.
The booklet covers many themes on q-calculus, together with exact services, combinatorics, and q-difference equations. except a radical overview of the historic improvement of q-calculus, this e-book additionally offers the domain names of contemporary physics for which q-calculus is appropriate, equivalent to particle physics and supersymmetry, to call only a few.
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Extra resources for A Comprehensive Treatment of q-Calculus
A Comprehensive Treatment of q-Calculus by Thomas Ernst