Abelian and Tauberian results for the fractional Hankel transform of generalized functions

This paper aims to explore the quasiasymptotic behaviour of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behaviour of generalized functions in the Zemanian space with the asymptotics of their fractional Hankel transform. Additionally, we establish both the initial and final value theorems for the fractional Hankel transform of distributions.

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Publication Details

Journal
Integral Transforms and Special Functions
Published
2025-11-10
DOI
https://doi.org/10.1080/10652469.2025.2584477
Citations
2
Primary Topic
Mathematical Analysis and Transform Methods
Type
article
Field-Weighted Citation Impact
7.45
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article

Abelian and Tauberian results for the fractional Hankel transform of generalized functions

Sanja Atanasova, Snježana Maksimović, Stevan Pilipović, Smiljana Jakšić
2 citations
Integral Transforms and Special Functions
Mathematical Analysis and Transform Methods
7.45
article

Abelian and Tauberian results for the fractional Hankel transform of generalized functions

Sanja Atanasova, Snježana Maksimović, Stevan Pilipović, Smiljana Jakšić
article en
2 citations

Abstract

This paper aims to explore the quasiasymptotic behaviour of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behaviour of generalized functions in the Zemanian space with the asymptotics of their fractional Hankel transform. Additionally, we establish both the initial and final value theorems for the fractional Hankel transform of distributions.

Integral Transforms and Special Functions
University of Novi Sad (RS), University of Banja Luka (BA), University of Belgrade (RS), University of Ss. Cyril and Methodius in Trnava (SK), Ss. Cyril and Methodius University in Skopje (MK)
Openalex Percentile: Top 3%
Mathematical Analysis and Transform Methods
7.45
DOIOpen Access PDFOpenAlex
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Abelian and Tauberian results for the fractional Hankel transform of generalized functions — Sanja Atanasova, Snježana Maksimović, et al. · Integral Transforms and Special Functions (2025) | TGRS Research Map | TGRS