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 regarded assorted reckoning on the place and via whom they have been written. This confusion of tongues not just complex the theoretical improvement but in addition contributed to q-calculus last a overlooked mathematical box. This booklet overcomes those difficulties by way of introducing a brand new and engaging notation for q-calculus in accordance with logarithms.For example, q-hypergeometric capabilities are actually 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 earlier has been overlooked.
The e-book covers many themes on q-calculus, together with exact capabilities, combinatorics, and q-difference equations. except a radical evaluation of the historic improvement of q-calculus, this e-book 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