The Monotony of the Lommel Functions
RESULTS IN MATHEMATICS（2023）
Abstract
The authors of (Complex Var Elliptic Equ 54(7):689–696, 2009) proved a kind of monotony of Bessel functions using integral represen- tations. This paper establishes a monotonicity property for the normalized Lommel function of the first kind using the method of subordination factor sequences.
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Key words
Lommel function,convex function,Bessel function,subordination factor sequence
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