By Thomas Ernst
To date, the theoretical improvement of q-calculus has rested on a non-uniform foundation. ordinarily, the cumbersome Gasper-Rahman notation used to be used, however the released works on q-calculus regarded varied counting on the place and by way of whom they have been written. This confusion of tongues not just advanced the theoretical improvement but in addition contributed to q-calculus closing a missed mathematical box. This ebook overcomes those difficulties by way of introducing a brand new and engaging notation for q-calculus in keeping with logarithms.For example, q-hypergeometric services are actually visually transparent and straightforward 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 earlier has been overlooked.
The publication covers many subject matters on q-calculus, together with distinctive capabilities, combinatorics, and q-difference equations. except an intensive assessment of the old improvement of q-calculus, this publication additionally offers the domain names of recent physics for which q-calculus is acceptable, resembling particle physics and supersymmetry, to call only a few.
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