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On products of starlike functions
Authors:
E. P. Merkes, M. S. Robertson and W. T. Scott
Journal:
Proc. Amer. Math. Soc. 13 (1962), 960-964
MSC:
Primary 30.42
MathSciNet review:
0142747
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References |
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Additional Information
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J.
W. Alexander, Functions which map the interior of the unit circle
upon simple regions, Ann. of Math. (2) 17 (1915),
no. 1, 12–22. MR
1503516, http://dx.doi.org/10.2307/2007212
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J.
Clunie and F.
R. Keogh, On starlike and convex schlicht functions, J. London
Math. Soc. 35 (1960), 229–233. MR 0110814
(22 #1682)
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A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932), 40-67.
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Malcolm
I. S. Robertson, On the theory of univalent functions, Ann. of
Math. (2) 37 (1936), no. 2, 374–408. MR
1503286, http://dx.doi.org/10.2307/1968451
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M.
S. Robertson, Schlicht solutions of
𝑊”+𝑝𝑊=0, Trans.
Amer. Math. Soc. 76
(1954), 254–274. MR 0061171
(15,786c), http://dx.doi.org/10.1090/S0002-9947-1954-0061171-9
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Albert
Schild, On a class of univalent, star shaped
mappings, Proc. Amer. Math. Soc. 9 (1958), 751–757. MR 0095954
(20 #2452), http://dx.doi.org/10.1090/S0002-9939-1958-0095954-5
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L. Špaček, Contribution à la théorie des fonctions univalentes, Časopis Pěst. Mat. 62 (1932), 12-19.
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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
- [9]
Herbert
S. Wilf, The radius of univalence of certain entire functions,
Illinois J. Math. 6 (1962), 242–244. MR 0138734
(25 #2177)
- [1]
- J. W. Alexander, Functions which map the interior of the unit circle upon simple regions, Ann. of Math. 17 (1915), 12-22. MR 1503516
- [2]
- J. Clunie and F. R. Keogh, On starlike and convex functions, J. London Math. Soc. 35 (1960), 229-233. MR 0110814 (22:1682)
- [3]
- A. Marx, Untersuchungen über schlichte Abbildungen, Math. Ann. 107 (1932), 40-67.
- [4]
- M. S. Robertson, On the theory of univalent functions, Ann. of Math. 37 (1936), 374-408. MR 1503286
- [5]
- -, Schlicht solutions of
, Trans. Amer. Math. Soc. 76 (1954), 254-274. MR 0061171 (15:786c)
- [6]
- A. Schild, On a class of univalent, star shaped mappings, Proc. Amer. Math. Soc. 9 (1958), 751-757. MR 0095954 (20:2452)
- [7]
- L. Špaček, Contribution à la théorie des fonctions univalentes, Časopis Pěst. Mat. 62 (1932), 12-19.
- [8]
- E. Strohhäcker, Beiträge zur Theorie der schlichten Funktionen, Math. Z. 37 (1933), 356-380. MR 1545400
- [9]
- H. S. Wilf, The radius of univalence of certain entire functions, Illinois J. Math. 6 (1962), 242-244. MR 0138734 (25:2177)
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Additional Information
DOI:
http://dx.doi.org/10.1090/S0002-9939-1962-0142747-7
PII:
S 0002-9939(1962)0142747-7
Article copyright:
© Copyright 1962 American Mathematical Society
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