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The main focus of the present paper is to present new set of sufficient conditions so that the normalized form of the Mittag-Leffler and Wright functions have certain geometric properties like close-to-convexity, univalency, convexity and starlikeness inside the unit disk. Interesting consequences and examples are derived to support that these results are better than the existing ones and improve several results available in the literature.
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참고문헌 (25)
참고문헌 신청
D. Bansal / 2015 / Certain geometric properties of the Mittag-Leffler functions / Complex Variables and Elliptic Equations 61(3):338~350
A. Baricz / 1994 / Generalized Bessel functions of the first kind, Lecture Notes in Mathematics / Springer-Verlag
A. Baricz / 2020 / Radii of starlikeness and convexity of generalized Mittag-Leer functions / Math. Commun 25(1):117~135
A. Baricz / 2018 / Radii of starlikeness and convexity of Wright functions / Math. Commun 23(1):97~117
P. L. Duren / 1983 / Univalent functions / Springer-Verlag
A. Baricz / 1994 / Generalized Bessel functions of the first kind, Lecture Notes in Mathematics / Springer-Verlag
A. Baricz / 2020 / Radii of starlikeness and convexity of generalized Mittag-Leer functions / Math. Commun 25(1):117~135
A. Baricz / 2018 / Radii of starlikeness and convexity of Wright functions / Math. Commun 23(1):97~117
P. L. Duren / 1983 / Univalent functions / Springer-Verlag
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