Variational methods for functions with positive real part
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- by M. S. Robertson
- Trans. Amer. Math. Soc. 102 (1962), 82-93
- DOI: https://doi.org/10.1090/S0002-9947-1962-0133454-X
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References
- C. Carathéodory, Über den Variabilitätsbereich der Fourierschen Konstanten von positiven harmonischen Funktionen, Rend. Circ. Mat. Palermo 32 (1911), 193-217.
B. Detwiler and W. C. Royster, A variational formula for functions convex in the direction of the imaginary axis, Abstract 568-2, Notices Amer. Math. Soc. 7 (1960), 242.
E. Fischer, Über das Carathéodorysche Problem, Potenzreihen mit positivem reellen Teil betreffend, Rend. Circ. Mat. Palermo 32 (1911), 240-256.
- Ulf Grenander and Gabor Szegö, Toeplitz forms and their applications, California Monographs in Mathematical Sciences, University of California Press, Berkeley-Los Angeles, 1958. MR 0094840
- J. A. Hummel, A variational method for starlike functions, Proc. Amer. Math. Soc. 9 (1958), 82–87. MR 95273, DOI 10.1090/S0002-9939-1958-0095273-7
- Wilfred Kaplan, Close-to-convex schlicht functions, Michigan Math. J. 1 (1952), 169–185 (1953). MR 54711 F. Riesz, Über ein Problem des Herrn Carathéodory, J. Reine Angew. Math. 146 (1915), 83-87.
- M. M. Schiffer, Applications of variational methods in the theory of conformal mapping. , Proceedings of Symposia in Applied Mathematics, Vol. VIII, Calculus of variations and its applications, McGraw-Hill Book Co., Inc., New York-Toronto-London, for the American Mathematical Society, Providence, R.I., 1958, pp. 93–113. MR 0094447 O. Toeplitz, Über die Fouriersche Entwicklung positiver Funktionen, Rend. Circ. Mat. Palermo 32 (1911), 191-192.
- Masatsugu Tsuji, On a regular function, whose real part is positive in a unit circle, Proc. Japan Acad. 21 (1945), 321–329 (1949). MR 32734
Bibliographic Information
- © Copyright 1962 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 102 (1962), 82-93
- MSC: Primary 30.52; Secondary 30.65
- DOI: https://doi.org/10.1090/S0002-9947-1962-0133454-X
- MathSciNet review: 0133454