Discrete index transforms with Bessel and modified Bessel functions

2021/07/13 by Semyon Yakubovich, Yakubovich, Semyon
Mathematics · #33C10 #42A16 #44A15 #45A05 #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Mathematical Analysis and Transform Methods #Mathematical Dynamics and Fractals #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.2107.06133

openalex publication_date 2021/07/13 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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

Related

• Discrete index transformations with Bessel and Lommel functions
• Discrete index transformations with squares of Bessel functions
• Discrete Lebedev's index transforms
• New index transforms with the product of Bessel functions
• A new index transform with the square of Whittaker's function