Discrete index transformations with Bessel and Lommel functions

TL;DR

This paper introduces discrete index transforms using Bessel and Lommel functions, establishing their inversion theorems for specific classes of functions and sequences.

Contribution

It presents new discrete index transforms involving Bessel and Lommel functions along with their inversion theorems.

Findings

Introduced discrete index transforms with Bessel and Lommel functions

Proved inversion theorems for these transforms

Analyzed properties for specific function and sequence classes

Abstract

Discrete analogs of the index transforms, involving Bessel and Lommel functions are introduced and investigated. The corresponding inversion theorems for suitable classes of functions and sequences are established.