Restricted log-exp-analytic functions and some differentiability results
A Opris - Illinois Journal of Mathematics, 2022 - projecteuclid.org
In this article, we define restricted log-exp-analytic functions as compositions of log-analytic
functions and exponentials of locally bounded functions. We prove that the derivative of a …
functions and exponentials of locally bounded functions. We prove that the derivative of a …
Global Complexification of Real Analytic Restricted Log-Exp-Analytic Functions
A Opris - arXiv preprint arXiv:2205.12011, 2022 - arxiv.org
arXiv:2205.12011v1 [math.LO] 24 May 2022 Page 1 Global Complexification of Real Analytic
Restricted Log-Exp-Analytic Functions Andre Opris Abstract. We show that a real analytic …
Restricted Log-Exp-Analytic Functions Andre Opris Abstract. We show that a real analytic …
Restricted log-exp-analytic power functions
A Opris - arXiv preprint arXiv:2212.09141, 2022 - arxiv.org
A preparation theorem for compositions of restricted log-exp-analytic functions and power
functions of the form $$ h:\mathbb {R}\to\mathbb {R}, x\mapsto\left\{\begin {array}{ll} x^ r, & x> …
functions of the form $$ h:\mathbb {R}\to\mathbb {R}, x\mapsto\left\{\begin {array}{ll} x^ r, & x> …