24 citations · 166 across the 21 of their papers we have counts for
24 papers
Constructing allowed complex metrics from black holes
Oscar Loaiza-Brito, J. L. López-Picón, Octavio Obregón
We use diffeomorphic mappings to connect black hole metrics with complex solutions allowed by the Kontsevich-Segal criterion. By swapping radial and time-like coordinates and apply…
Uniformly convergent expansions for the generalized hypergeometric functions of the Bessel and Kummer types
Jose L. Lopez, Pedro J. Pagola, Dmitrii B. Karp
We derive a convergent expansion of the generalized hypergeometric function in terms of the Bessel functions that holds uniformly with respect to the argu…
Representations of hypergeometric functions for arbitrary parameter values and their use
D. Karp, J. L. López
Integral representations of hypergeometric functions proved to be a very useful tool for studying their properties. The purpose of this paper is twofold. First, we extend the known…
Orthogonal basis with a conicoid first mode for shape specification of optical surfaces
Chelo Ferreira, Jose L. Lopez, Rafael Navarro +1
A rigorous and powerful theoretical framework is proposed to obtain systems of orthogonal functions (or shape modes) to represent optical surfaces. The method is general so it can…
Analytic formulas for the evaluation of the Pearcey integral
Jose L. Lopez, Pedro J. Pagola
We can find in the literature several convergent and/or asymptotic expansions of the Pearcey integral in different regions of the complex variables and , but they d…
The Pearcey integral in the highly oscillatory region
Jose L. Lopez, Pedro Pagola
We consider the Pearcey integral for large values of and bounded values of . The integrand of the Pearcey integral oscillates wildly in this r…