Zeroes of generalized Fresnel complementary integral functions

AbstractTheoretical upper and lower bounds are established for zeroes of a parametric family of functions which are defined by integrals of the same type as the Fresnel complementary integral. Asymptotic properties for these bounds are obtained as well as monotony properties of the localization intervals. Given the value of the parameter an analytical-numerical procedure is deduced to enclose all zeros of a given function with an a priori error.

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Bibliographic Details
Main Authors: Lobo-Segura,Jaime, Villalobos-Arias,MarioAlberto
Format: Digital revista
Language:English
Published: Centro de Investigaciones en Matemática Pura y Aplicada (CIMPA) y Escuela de Matemática, San José, Costa Rica. 2016
Online Access:http://www.scielo.sa.cr/scielo.php?script=sci_arttext&pid=S1409-24332016000200321
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