Publicación: DISCONNECTED JULIA SET OF HALLEY S METHOD FOR EXPONENTIAL MAPS
Fecha
2022
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DYNAMICAL SYSTEMS-AN INTERNATIONAL JOURNAL
Resumen
WE INVESTIGATE THE HALLEY METHOD OF EXPONENTIAL MAPS. OUR MAIN RESULT IS THAT, UNLIKE NEWTONS METHOD, THE JULIA SET OF HALLEYS METHOD MAY BE DISCONNECTED WHEN APPLIED TO ENTIRE MAPS OF FORM F=PEQ WHERE P AND Q ARE POLYNOMIALS AND Q IS NON-CONSTANT. WE ALSO DESCRIBE THE NATURE OF THE FIXED POINTS AND CLASSIFY RATIONAL HALLEYS MAPS OF ENTIRE FUNCTIONS.
