New PDF release: A Comprehensive Treatment of q-Calculus

By Thomas Ernst

ISBN-10: 303480430X

ISBN-13: 9783034804301

ISBN-10: 3034808062

ISBN-13: 9783034808064

To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. in general, the cumbersome Gasper-Rahman notation was once used, however the released works on q-calculus regarded various looking 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 ultimate a overlooked mathematical box. This e-book overcomes those difficulties through introducing a brand new and fascinating notation for q-calculus in line with logarithms.For example, q-hypergeometric capabilities 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 work out the relationship among q-hypergeometric capabilities and the q-gamma functionality, whatever that formerly has been overlooked.

The e-book covers many subject matters on q-calculus, together with targeted services, combinatorics, and q-difference equations. except an intensive evaluation of the historic improvement of q-calculus, this e-book additionally offers the domain names of contemporary 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

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