Kodai Mathematical Journal

Online ISSN : 1881-5472
Print ISSN : 0386-5991
ISSN-L : 0386-5991

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Predecessor

Volume 13, Issue 2

Displaying 1-11 of 11 articles from this issue

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Remarks on effective curvature

Kazumi Tanuma

1990 Volume 13 Issue 2 Pages 155-163
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039215

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Univalent analytic functions and the Poincaré metric

Shinji Yamashita

1990 Volume 13 Issue 2 Pages 164-175
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039216

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Let Ω be a hyperbolic domain in the complex plane C, let ρ_Ω be the density of the Poincaré metric in Ω, and let β_Ω=1/ρ_Ω. For g analytic in Ω we set ||g||_Ω=sup β_Ω(w)|g(w)|, w∈Ω. Let S(Ω) be the family of functions f analytic and univalent in Ω. Criteria in terms of the partial derivatives of β_Ω for Ω to satisfy sup ||f''/f'||_Ω<+∞, where f ranges over S(Ω), are given. For example, sup β_Ω(w)|(β_Ω)_ww(w)|<+∞, w∈Ω. If f∈S(Ω) is isolated in the sense that there is an ε>0 such that 0<||f''/f'−g''/g'||_Ω<ε for no g∈S(Ω), then C{\backslash}f(Ω) is of zero area. The domain Ω is simply connected if sup β_Ω(w)|(β_Ω)_ww(w)|{≤}1, w∈Ω, and Ω is convex (hence simply connected) if and only if sup |(β_Ω)_w(w)|=1, w∈Ω.

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Picard set of a kind of differential polynomials

Xiao Ping Zhan

1990 Volume 13 Issue 2 Pages 176-180
Published: 1990
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138039217

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In the present paper we answer a problem about Picard sets of differential polynomial F=fⁿQ(f), which was raised by Anderson, Baker and clunie (cf. [1]).

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Stability of closed Lie subgroups in compact Lie groups

Katsuya Mashimo, Hiroyuki Tasaki

1990 Volume 13 Issue 2 Pages 181-203
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039218

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Integrals of some trigonometric functions

Shukichi Tanno

1990 Volume 13 Issue 2 Pages 204-209
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039219

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Recurrence and transience of Gaussian diffusion processes

Jian-Jy Liou

1990 Volume 13 Issue 2 Pages 210-230
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039220

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On self-homotopy equivalences of covering spaces

Seiya Sasao, Cha Joon-Sim

1990 Volume 13 Issue 2 Pages 231-240
Published: 1990
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138039221

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Quotients of smooth functions

Henri Joris, Emmanuel Preissmann

1990 Volume 13 Issue 2 Pages 241-264
Published: 1990
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138039222

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A formula for analytic separation capacity

Takafumi Murai

1990 Volume 13 Issue 2 Pages 265-288
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039223

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On elementary transversely affine foliations I

Nobuo Tsuchiya

1990 Volume 13 Issue 2 Pages 289-297
Published: 1990
Released on J-STAGE: January 21, 2009

DOIhttps://doi.org/10.2996/kmj/1138039224

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On the zeros of the solutions of the equation w^(k)+(Re^p+Q)w=0

Steven B. Bank, J. K. Langley

1990 Volume 13 Issue 2 Pages 298-309
Published: 1990
Released on J-STAGE: April 24, 2009

DOIhttps://doi.org/10.2996/kmj/1138039225

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