논문KCI 등재
Subclasses of analytic functions defined by Lommel operator
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We use convolution techniques to define certain classes of starlike functions which are associated with Lommel operator. Some inclusion results are investigated. It is also shown that these classes are invariant under Bernardi integral operator.
Abstract
We use convolution techniques to define certain classes of starlike functions which are associated with Lommel operator. Some inclusion results are investigated. It is also shown that these classes are invariant under Bernardi integral operator.
참고문헌 (8)
- Árpád Baricz, "Radii of starlikeness of some special functions", Proceedings of the American Mathematical Society, 144(8), pp.3355~3367 (2016), American Mathematical Society (AMS)[DOI]
- S. D. Bernardi, "Convex and starlike univalent functions", Trans. Amer. Math. Soc, 135, pp.429~446 (1969)[DOI]
- P. Eenigenburg, "On a Briot-Bouquet dierential subordination", Rev. Roumaine Math. Pures Appl, 29(7), pp.567~573 (1984)
- S. S. Miller, "Dierential subordinations" (2000), Marcel Dekker, Inc
- Bernard Pinchuk, "Functions of bounded boundary rotation", Israel Journal of Mathematics, 10(1), pp.6~16 (1971), Springer Science and Business Media LLC[DOI]
- St. Ruscheweyh, "Hadamard products of Schlicht functions and the Pólya-Schoenberg conjecture", Commentarii Mathematici Helvetici, 48(1), pp.119~135 (1973), European Mathematical Society - EMS - Publishing House GmbH[DOI]
- Y. J. Sim, "Geometric properties of Lommel functions of the first kind", Symmetry, 10, pp.445~ (2018)
- Nihat Yagmur, "HARDY SPACE OF LOMMEL FUNCTIONS", 대한수학회보, 52(3), pp.1035~1046 (2015), 대한수학회
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