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Multivalently close-to-convex functions
Author:
Toshio Umezawa
Journal:
Proc. Amer. Math. Soc. 8 (1957), 869-874
MSC:
Primary 30.0X
MathSciNet review:
0090654
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References |
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Additional Information
- [1]
Wilfred
Kaplan, Close-to-convex schlicht functions, Michigan Math. J.
1 (1952), 169–185 (1953). MR 0054711
(14,966e)
- [2]
Maxwell
Reade, Sur une classe de fonctions univalentes, C. R. Acad.
Sci. Paris 239 (1954), 1758–1759 (French). MR 0066458
(16,579d)
- [3]
M.
S. Robertson, Analytic Functions Star-Like in One Direction,
Amer. J. Math. 58 (1936), no. 3, 465–472. MR
1507169, http://dx.doi.org/10.2307/2370963
- [4]
A.
W. Goodman, On the Schwarz-Christoffel
transformation and 𝑝-valent functions, Trans. Amer. Math. Soc. 68 (1950), 204–223. MR 0033886
(11,508d), http://dx.doi.org/10.1090/S0002-9947-1950-0033886-6
- [5]
Toshio
Umezawa, On the theory of univalent functions, Tôhoku
Math. J. (2) 7 (1955), 212–228. MR 0077630
(17,1068h)
- [6]
Toshio
Umezawa, A class of multivalent functions with
assigned zeros, Proc. Amer. Math. Soc. 3 (1952), 813–820.
MR
0050009 (14,260d), http://dx.doi.org/10.1090/S0002-9939-1952-0050009-5
- [7]
Erich
Strohhäcker, Beiträge zur Theorie der schlichten
Funktionen, Math. Z. 37 (1933), no. 1,
356–380 (German). MR
1545400, http://dx.doi.org/10.1007/BF01474580
- [8]
W. K. Hayman, Symmetrization in the theory of functions, Technical Report No. 11, Contract N6-ORI-106, Task Order 5(NR-043-992), Office of Naval Research, Washington, D. C.
- [1]
- W. Kaplan, Close-to-convex schlicht functions, Michigan Mathematical Journal vol. 1 (1952) pp. 169-185. MR 0054711 (14:966e)
- [2]
- M. Reade, Sur une classe de fonctions univalentes, C. R. Acad. Sci. Paris vol. 239 (1954) pp. 1758-1759. MR 0066458 (16:579d)
- [3]
- M. S. Robertson, Analytic functions starlike in one direction, Amer. J. Math. vol. 58 (1936) pp. 465-472. MR 1507169
- [4]
- A. W. Goodman, On the Schwarz-Christoffel transformation and
-valent functions, Trans. Amer. Math. Soc. vol. 68 (1950) pp. 204-223. MR 0033886 (11:508d)
- [5]
- T. Umezawa, On the theory of univalent functions, Tôhoku Math. J. vol. 7 (1955) pp. 212-223. MR 0077630 (17:1068h)
- [6]
- -, A class of multivalent functions with assigned zeros, Proc. Amer. Math. Soc. vol. 3 (1952) pp. 813-820. MR 0050009 (14:260d)
- [7]
- E. Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Zeit. vol. 37 (1933) pp. 356-380. MR 1545400
- [8]
- W. K. Hayman, Symmetrization in the theory of functions, Technical Report No. 11, Contract N6-ORI-106, Task Order 5(NR-043-992), Office of Naval Research, Washington, D. C.
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1957-0090654-9
PII:
S 0002-9939(1957)0090654-9
Article copyright:
© Copyright 1957 American Mathematical Society
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