Variation formulas for multivalent functions
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References
- S. A. Gel′fer, The variation of multivalent functions, Dokl. Akad. Nauk SSSR (N.S.) 98 (1954), 885–888 (Russian). MR 0065634
- S. A. Gel′fer, On the coefficient problem for $p$-valent functions, Dokl. Akad. Nauk SSSR (N.S.) 106 (1956), 955–958 (Russian). MR 0076875
- G. Golusin, Method of variations in the theory of conform representation, Rec. Math. [Mat. Sbornik] N.S. 19(61) (1946), 203–236 (Russian, with English summary). MR 0018752
- G. M. Goluzin, Some questions of the theory of univalent functions, Trudy Mat. Inst. Steklov. 27 (1949), 111 (Russian). MR 0042510
- G. M. Goluzin, Geometričeskaya teoriya funkciĭ kompleksnogo peremennogo, Gosudarstv. Izdat. Tehn.-Teor. Lit., Moscow-Leningrad, 1952 (Russian). MR 0056683
- A. W. Goodman, On some determinants related to $p$-valent functions, Trans. Amer. Math. Soc. 63 (1948), 175–192. MR 23910, DOI 10.1090/S0002-9947-1948-0023910-X
- A. W. Goodman, On the Schwarz-Christoffel transformation and $p$-valent functions, Trans. Amer. Math. Soc. 68 (1950), 204–223. MR 33886, DOI 10.1090/S0002-9947-1950-0033886-6
- A. W. Goodman and M. S. Robertson, A class of multivalent functions, Trans. Amer. Math. Soc. 70 (1951), 127–136. MR 40430, DOI 10.1090/S0002-9947-1951-0040430-7
- W. K. Hayman, Some applications of the transfinite diameter to the theory of functions, J. Analyse Math. 1 (1951), 155–179 (English, with Hebrew summary). MR 45210, DOI 10.1007/BF02790087
- Karl Löwner, Untersuchungen über schlichte konforme Abbildungen des Einheitskreises. I, Math. Ann. 89 (1923), no. 1-2, 103–121 (German). MR 1512136, DOI 10.1007/BF01448091
- M. S. Robertson, Multivalently star-like functions, Duke Math. J. 20 (1953), 539–549. MR 60021
- A. C. Schaeffer and D. C. Spencer, Coefficient Regions for Schlicht Functions, American Mathematical Society Colloquium Publications, Vol. 35, American Mathematical Society, New York, N. Y., 1950. With a Chapter on the Region of the Derivative of a Schlicht Function by Arthur Grad. MR 0037908
- Menahem Schiffer, Variation of the Green function and theory of the $p$-valued functions, Amer. J. Math. 65 (1943), 341–360. MR 7925, DOI 10.2307/2371820
Additional Information
- © Copyright 1958 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 89 (1958), 129-148
- MSC: Primary 30.00
- DOI: https://doi.org/10.1090/S0002-9947-1958-0096811-5
- MathSciNet review: 0096811