Work

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

Year: 2025

Type: article

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.

Source: Integral Transforms and Special Functions

DOI: 10.1080/10652469.2025.2584477

Authors: Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović, Stevan Pilipović

Institutions: Ss. Cyril and Methodius University in Skopje, University of Belgrade, University of Banja Luka, University of Novi Sad

Language: English

Topic: Mathematical Analysis and Transform Methods

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

Funders: Science Fund of the Republic of Serbia, Serbian Academy of Sciences and Arts

OpenAlex ID: W4416084802

FWCI: 3.753

Cites: 21

Cited by: 2

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