2024
DOI: 10.3934/math.2024346
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Certain geometric properties of the fractional integral of the Bessel function of the first kind

Georgia Irina Oros,
Gheorghe Oros,
Daniela Andrada Bardac-Vlada

Abstract: <abstract><p>This paper revealed new fractional calculus applications of special functions in the geometric function theory. The aim of the study presented here was to introduce and begin the investigations on a new fractional calculus integral operator defined as the fractional integral of order $ \lambda $ for the Bessel function of the first kind. The focus of this research was on obtaining certain geometric properties that give necessary and sufficient univalence conditions for the new fraction… Show more

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