Get A Comprehensive Treatment of q-Calculus PDF

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 through whom they have been written. This confusion of tongues not just complex the theoretical improvement but in addition contributed to q-calculus final a ignored mathematical box. This ebook overcomes those difficulties by means 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 features and the q-gamma functionality, anything that previously has been overlooked.

The e-book covers many issues on q-calculus, together with exact capabilities, combinatorics, and q-difference equations. except an intensive evaluate of the old improvement of q-calculus, this booklet additionally provides the domain names of contemporary 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 by Thomas Ernst


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