Download e-book for kindle: A Comprehensive Treatment of q-Calculus by Thomas Ernst

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. typically, the cumbersome Gasper-Rahman notation used to be 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 advanced the theoretical improvement but in addition contributed to q-calculus closing a overlooked mathematical box. This publication overcomes those difficulties by way of introducing a brand new and engaging notation for q-calculus according 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 features and the q-gamma functionality, whatever that in the past has been overlooked.

The booklet covers many issues on q-calculus, together with unique services, combinatorics, and q-difference equations. except a radical assessment of the ancient improvement of q-calculus, this publication additionally offers the domain names of recent physics for which q-calculus is appropriate, reminiscent of 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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