Monotonicity properties of some Dini functions

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.

4 pages, 1 figure

References in corpus (1)

• Van der Corput inequalities for Bessel functions

Cited by in corpus (3)

• Radii of starlikeness and convexity of some $q$-Bessel functions
• Close-to-convexity of normalized Dini functions
• Modified Dini functions: monotonicity patterns and functional inequalities