By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. normally, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus appeared assorted reckoning on the place and by means of whom they have been written. This confusion of tongues not just complex the theoretical improvement but in addition contributed to q-calculus final a overlooked mathematical box. This booklet overcomes those difficulties by means of introducing a brand new and engaging notation for q-calculus according to logarithms.For example, q-hypergeometric services at the moment are 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 in the past has been overlooked.
The e-book covers many subject matters on q-calculus, together with particular services, combinatorics, and q-difference equations. except a radical assessment of the historic improvement of q-calculus, this ebook additionally provides 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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A Comprehensive Treatment of q-Calculus by Thomas Ernst