On Positivities of Certain q-Special Functions
Classical Analysis and ODEs
2019-01-14 v1
Abstract
In this work we shall apply the Bochner's theorem to prove certain combinations of Euler's q-exponentials are positive definite functions. Then we apply this positivity to prove curious inequalities for the Jacobi theta function and q-Gamma function .
Cite
@article{arxiv.1901.03368,
title = {On Positivities of Certain q-Special Functions},
author = {Ruiming Zhang},
journal= {arXiv preprint arXiv:1901.03368},
year = {2019}
}