Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Modified Dini functions: monotonicity patterns and functional
  inequalities   We deduce some new functional inequalities, like Tur\'an type inequalities,
Redheffer type inequalities, and a Mittag-Leffler expansion for a special
combination of modified Bessel functions of the first kind, called modified
Dini functions. Moreover, we show the complete monotonicity of a quotient of
modified Dini functions by introducing a new continuous infinitely divisible
probability distribution. The key tool in our proofs is a recently developed
infinite product representation for a special combination of Bessel functions
of the first, which was very useful in determining the radius of convexity of
some normalized Bessel functions of the first kind.

24
The categories of this paper are: dg-ga
36
The categories of this paper are: cmp-lg
26
The categories of this paper are: bayes-an
3
The categories of this paper are: physics
7
The categories of this paper are: hep-th
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
29
The categories of this paper are: funct-an
12
The categories of this paper are: nucl-th
31
The categories of this paper are: ao-sci
37
The categories of this paper are: supr-con
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
19
The categories of this paper are: eess
11
The categories of this paper are: hep-lat
1
The categories of this paper are: cs