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학술연구/단체지원/교육 등 연구자 활동을 지속하도록 DBpia가 지원하고 있어요.
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This paper mainly deals with the tilted Caratheodory class by angle λ 2 (-π/2,π /2) (denoted by Pλ) an element of which maps the unit disc into the tilted right half-plane {w : Re eiλw > 0}. Firstly we will characterize Pλ from different aspects, for example by subordi-nation and convolution. Then various estimates of functionals over Pλare deduced by considering these over the extreme points of Pλ or the knowledge of functional analysis. Finally some subsets of analytic func-tions related to P including close-to-convex functions with argument λ,-spirallike functions and analytic functions whose derivative is in Pλ are also considered as applications.
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참고문헌 (29)
참고문헌 신청
A. W. Goodman / 1983 / Univalent Functions. Vol. II / Mariner Publishing Co. Inc
D. J. Hallenbeck / 1984 / Linear Problems and Convexity Techniques in Geometric Function Theory, Monographs and Studies in Mathematics / Pitman
F. Gray / 1988 / Functions whose derivatives take values in a half-plane / Proc. Amer. Math. Soc 104 (1) : 215 ~ 218
F. Holland / 1973 / The extreme points of a class of functions with positive real part / Math. Ann 202 : 85 ~ 87
G. Herglotz / 1911 / Uber Potenzreihen mit positivem, reellen Teil in Einheitskreis / Ber. Verh. Sachs. Akad. Wiss. Leipzig : 501 ~ 511
D. J. Hallenbeck / 1984 / Linear Problems and Convexity Techniques in Geometric Function Theory, Monographs and Studies in Mathematics / Pitman
F. Gray / 1988 / Functions whose derivatives take values in a half-plane / Proc. Amer. Math. Soc 104 (1) : 215 ~ 218
F. Holland / 1973 / The extreme points of a class of functions with positive real part / Math. Ann 202 : 85 ~ 87
G. Herglotz / 1911 / Uber Potenzreihen mit positivem, reellen Teil in Einheitskreis / Ber. Verh. Sachs. Akad. Wiss. Leipzig : 501 ~ 511
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