A note on multivalence of functions of bounded index
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- by Gerd H. Fricke PDF
- Proc. Amer. Math. Soc. 40 (1973), 140-142 Request permission
Abstract:
This paper examines the relationship between the concept of bounded index and the radius of univalence, respectively $p$-valence, of entire functions and their derivatives at arbitrary points in the plane.References
- J. Clunie and F. R. Keogh, On starlike and convex schlicht functions, J. London Math. Soc. 35 (1960), 229–233. MR 110814, DOI 10.1112/jlms/s1-35.2.229
- Gerd H. Fricke, A characterization of functions of bounded index, Indian J. Math. 14 (1972), 207–212. MR 355048
- W. K. Hayman, Multivalent functions, Cambridge Tracts in Mathematics and Mathematical Physics, No. 48, Cambridge University Press, Cambridge, 1958. MR 0108586
- Benjamin Lepson, Differential equations of infinite order, hyperdirichlet series and entire functions of bounded index, Entire Functions and Related Parts of Analysis (Proc. Sympos. Pure Math., La Jolla, Calif., 1966) Amer. Math. Soc., Providence, R.I., 1968, pp. 298–307. MR 0237788
Additional Information
- © Copyright 1973 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 40 (1973), 140-142
- MSC: Primary 30A66; Secondary 30A36
- DOI: https://doi.org/10.1090/S0002-9939-1973-0320315-9
- MathSciNet review: 0320315