Univalent functions with univalent derivatives. II
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- by S. M. Shah and S. Y. Trimble PDF
- Trans. Amer. Math. Soc. 144 (1969), 313-320 Request permission
References
- R. P. Boas Jr., Univalent derivatives of entire functions, Duke Math. J. 6 (1940), 719–721. MR 2601
- Ralph Philip Boas Jr., Entire functions, Academic Press, Inc., New York, 1954. MR 0068627
- A. W. Goodman, Univalent functions and nonanalytic curves, Proc. Amer. Math. Soc. 8 (1957), 598–601. MR 86879, DOI 10.1090/S0002-9939-1957-0086879-9
- W. K. Hayman, Multivalent functions, Cambridge Tracts in Mathematics and Mathematical Physics, No. 48, Cambridge University Press, Cambridge, 1958. MR 0108586
- Norman Levinson, A theorem of Boas, Duke Math. J. 8 (1941), 181–182. MR 3802
- Zeev Nehari, Conformal mapping, McGraw-Hill Book Co., Inc., New York-Toronto-London, 1952. MR 0045823
- G. Polya, On the zeros of the derivatives of a function and its analytic character, Bull. Amer. Math. Soc. 49 (1943), 178–191. MR 7781, DOI 10.1090/S0002-9904-1943-07853-6
- S. M. Shah, On the lower order of integral functions, Bull. Amer. Math. Soc. 52 (1946), 1046–1052. MR 18736, DOI 10.1090/S0002-9904-1946-08708-X
- S. M. Shah, The maximum term of an entire series. III, Quart. J. Math. Oxford Ser. 19 (1948), 220–223. MR 27330, DOI 10.1093/qmath/os-19.1.220
- S. M. Shah, On the coefficients of an entire series of finite order, J. London Math. Soc. 26 (1951), 45–46. MR 38423, DOI 10.1112/jlms/s1-26.1.45
- S. M. Shah and S. Y. Trimble, Univalent functions with univalent derivatives, Bull. Amer. Math. Soc. 75 (1969), 153–157. MR 239074, DOI 10.1090/S0002-9904-1969-12186-5 E. C. Titchmarsh, Theory of functions, Oxford Univ. Press, Oxford, 1944. J. M. Whittaker, The lower order of integral functions, J. London Math. Soc. 8 (1933), 20-27.
Additional Information
- © Copyright 1969 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 144 (1969), 313-320
- MSC: Primary 30.42
- DOI: https://doi.org/10.1090/S0002-9947-1969-0249598-4
- MathSciNet review: 0249598