Improved q-exponential and q-trigonometric functions
Classical Analysis and ODEs
2010-11-04 v1 Quantum Algebra
Exactly Solvable and Integrable Systems
Abstract
We propose a new definition of the q-exponential function. Our q-exponential function maps the imaginary axis into the unit circle and the resulting q-trigonometric functions are bounded and satisfy the Pythagorean identity.
Cite
@article{arxiv.1006.5652,
title = {Improved q-exponential and q-trigonometric functions},
author = {Jan L. Cieśliński},
journal= {arXiv preprint arXiv:1006.5652},
year = {2010}
}
Comments
9 pages