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Subordination Problems of Robertson Functions
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In the present paper, we are concerned with subordination problems related to λ-Robertson function. The radii of λ-spirallikeness and starlikeness of λ-Robertson function are also determined.
Abstract
In the present paper, we are concerned with subordination problems related to λ-Robertson function. The radii of λ-spirallikeness and starlikeness of λ-Robertson function are also determined.
참고문헌 (11)
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- R. J. Libera, "Regular functions f(z) for which zf '(z) is α-spiral", Trans. Amer. Math. Soc, 166, pp.361~370 (1972)
- T. H. MacGregor, "A subordination for convex functions of order a", J. London Math Soc, 9(2), pp.530~536 (1975)
- S. Miller, "Differential Subordinations: Theory and Applications, In Series on Monographs and Textbooks in Pure and Applied Mathematics (No. 225)" (2000), Marcel Dekker
- M. Nunokawa, "On properties of non-Carathéodory functions", Proc. Japan Acad. Ser. A Math. Sci, 68, pp.152~153 (1992)
- M. S. Robertson, "Univalent functions f(z) for which zf ′(z) is spirallike", Michigan Math. J, 16, pp.97~101 (1969)
- L. Špaček, "Contribution à la théorie des fonctions univalentes", Cas. Mat. Fys, 62, pp.12~19 (1932)
- L.-M. Wang, "The tilted Carathéodory class and its applications", J. Korean Math. Soc
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