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.​  

Show description

Read Online or Download A Comprehensive Treatment of q-Calculus PDF

Similar number theory books

Download e-book for iPad: Hilbert Modular Forms with Coefficients in Intersection by Jayce Getz,Mark Goresky

Within the Nineteen Seventies Hirzebruch and Zagier produced elliptic modular types with coefficients within the homology of a Hilbert modular floor. They then computed the Fourier coefficients of those varieties when it comes to interval integrals and L-functions. during this publication the authors take another method of those theorems and generalize them to the environment of Hilbert modular kinds of arbitrary measurement.

Read e-book online Zeta Functions over Zeros of Zeta Functions: 8 (Lecture PDF

During this textual content, the well-known zeros of the Riemann zeta functionality and its generalizations (L-functions, Dedekind and Selberg zeta functions)are analyzed via numerous zeta features outfitted over these zeros.

Download e-book for kindle: Computations with Modular Forms: Proceedings of a Summer by Gebhard Böckle,Gabor Wiese

This quantity includes unique examine articles, survey articles and lecture notes regarding the Computations with Modular kinds 2011 summer time tuition and convention, held on the collage of Heidelberg. A key subject matter of the convention and summer time tuition used to be the interaction among idea, algorithms and scan.

Jay Jorgenson,Serge Lang's Posn(R) and Eisenstein Series (Lecture Notes in Mathematics) PDF

Posn(R) and Eisenstein sequence offers an creation, requiring minimum necessities, to the research on symmetric areas of optimistic sure actual matrices in addition to quotients of this house through the unimodular workforce of necessary matrices. The method is gifted in very classical phrases and contains fabric on specific capabilities, significantly gamma and Bessel capabilities, and makes a speciality of definite mathematical elements of Eisenstein sequence.

Additional resources for A Comprehensive Treatment of q-Calculus

Example text

Download PDF sample

A Comprehensive Treatment of q-Calculus by Thomas Ernst

by Michael

Rated 4.89 of 5 – based on 24 votes