Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Multiplier sequences, classes of generalized Bessel functions and open
  problems   Motivated by the study of the distribution of zeros of generalized
Bessel-type functions, the principal goal of this paper is to identify new
research directions in the theory of multiplier sequences. The investigations
focus on multiplier sequences interpolated by functions which are not entire
and sums, averages and parametrized families of multiplier sequences. The main
results include (i) the development of a `logarithmic' multiplier sequence and
(ii) several integral representations of a generalized Bessel-type function
utilizing some ideas of G. H. Hardy and L. V. Ostrovskii. The explorations and
analysis, augmented throughout the paper by a plethora of examples, led to a
number of conjectures and intriguing open problems.

11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
36
The categories of this paper are: cmp-lg
35
The categories of this paper are: mtrl-th
37
The categories of this paper are: supr-con
25
The categories of this paper are: patt-sol
3
The categories of this paper are: physics
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
28
The categories of this paper are: alg-geom
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
32
The categories of this paper are: atom-ph
0
The categories of this paper are: hep-ph