Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Cross-product of Bessel functions: monotonicity patterns and functional
  inequalities   In this paper we study the Dini functions and the cross-product of Bessel
functions. Moreover, we are interested on the monotonicity patterns for the
cross-product of Bessel and modified Bessel functions. In addition, we deduce
Redheffer-type inequalities, and the interlacing property of the zeros of Dini
functions and the cross-product of Bessel and modified Bessel functions. Bounds
for logarithmic derivatives of these functions are also derived. The key tools
in our proofs are some recently developed infinite product representations for
Dini functions and cross-product of Bessel functions.

19
The categories of this paper are: eess
36
The categories of this paper are: cmp-lg
23
The categories of this paper are: solv-int
22
The categories of this paper are: chao-dyn
10
The categories of this paper are: q-bio
28
The categories of this paper are: alg-geom
20
The categories of this paper are: acc-phys
1
The categories of this paper are: cs
26
The categories of this paper are: bayes-an
8
The categories of this paper are: hep-ex
0
The categories of this paper are: hep-ph
9
The categories of this paper are: nlin
13
The categories of this paper are: quant-ph
12
The categories of this paper are: nucl-th
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con