Title :
Monotonicity properties of some Dini functions
Author :
Baricz, Arpad ; Pogany, Tibor K. ; Szasz, Robert
Author_Institution :
Dept. of Econ., Babes-Bolyai Univ., Cluj-Napoca, Romania
Abstract :
In this note our aim is to deduce some new monotonicity properties for a special combination of Bessel functions of the first kind by using a recently developed Mittag-Leffler expansion for the derivative of a normalized Bessel function of the first kind. These monotonicity properties are used to obtain some new inequalities for Bessel functions of the first kind.
Keywords :
Bessel functions; Bessel functions; Dini functions; Mittag-Leffler expansion; monotonicity properties; normalized Bessel function; Computational intelligence; Convergence; Educational institutions; Equations; Informatics; Presses; Bessel functions of the first kind; Dini functions; absolute monotonicity; inequalities; infinite product; monotonicity properties;
Conference_Titel :
Applied Computational Intelligence and Informatics (SACI), 2014 IEEE 9th International Symposium on
Conference_Location :
Timisoara
DOI :
10.1109/SACI.2014.6840085
