Location of the zeros of certain parametric families of functions of generalized Fresnel integral type

 

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Auteurs: Lobo Segura, Jaime, Villalobos Arias, Mario Alberto
Format: artículo preliminar
Date de publication:2019
Description:In this paper, two parametric families of functions, the so-called Complementary Fresnel Integral and the Lommel type, which are of generalized Fresnel integral type, are considered. We review the problems of existence and uniqueness of their zeros in certain determined intervals, called location intervals, which improve previous results of other authors. For the approximation error obtained, bounds, monotonicity as well as the asymptotic behavior are analyzed. The study uses results from the theory of ?xed point of real functions, introducing the concept of ??xed point sequential problem? (FPSP) and the properties of certain special functions.
Pays:Kérwá
Institution:Universidad de Costa Rica
Repositorio:Kérwá
OAI Identifier:oai:kerwa.ucr.ac.cr:10669/78901
Accès en ligne:https://hdl.handle.net/10669/78901
Mots-clés:zeros
parametric families of functions
generalized Fresnel integral type