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arXiv · 2504.20613

Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions

Sanja Atanasova·Smiljana Jakšić·Snježana Maksimović·Stevan Pilipović
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Abstract

This paper aims to explore the quasiasymptotic behavior of distributions through the fractional Hankel transform. We present Tauberian result that connects the asymptotic behavior 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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Sanja Atanasova, Smiljana Jakšić, Snježana Maksimović, Stevan Pilipović. 2025-04-29. Abelian and Tauberian Results for the Fractional Hankel Transform of Generalized Functions. https://arxiv.org/abs/2504.20613

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