Monotonicity properties of some Dini functions

Published 4 Feb 2014 in math.CA | (1402.0639v1)

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.

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