Number Theory

Download E-books 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. more often than not, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus seemed varied looking on the place and by way of whom they have been written. This confusion of tongues not just advanced the theoretical improvement but additionally contributed to q-calculus ultimate a ignored mathematical box. This ebook overcomes those difficulties via introducing a brand new and fascinating notation for q-calculus in response to logarithms.For example, q-hypergeometric features are actually 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 capabilities and the q-gamma functionality, anything that beforehand has been overlooked.

The ebook covers many issues on q-calculus, together with designated services, combinatorics, and q-difference equations. except an intensive evaluate of the ancient improvement of q-calculus, this ebook additionally offers the domain names of contemporary physics for which q-calculus is appropriate, reminiscent of particle physics and supersymmetry, to call only a few.​  

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