Journal of Nonlinear Mathematical Physics

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Volume 10, Issue 4, November 2003, Pages 487 - 525

A Method for q-Calculus

Authors
Thomas Ernst
Corresponding Author
Thomas Ernst
Received 16 December 2002, Revised 3 February 2003, Accepted 9 April 2003, Available Online 1 November 2003.
DOI
10.2991/jnmp.2003.10.4.5How to use a DOI?
Abstract

We present a notation for q-calculus, which leads to a new method for computtions and classifications of q-special functions. With this notation many formulas of q-calculus become very natural, and the q-analogues of many orthogonal polynomals and functions assume a very pleasant form reminding directly of their classical counterparts.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
10 - 4
Pages
487 - 525
Publication Date
2003/11/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2003.10.4.5How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Thomas Ernst
PY  - 2003
DA  - 2003/11/01
TI  - A Method for q-Calculus
JO  - Journal of Nonlinear Mathematical Physics
SP  - 487
EP  - 525
VL  - 10
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2003.10.4.5
DO  - 10.2991/jnmp.2003.10.4.5
ID  - Ernst2003
ER  -