Some inequalities relating to conformal mapping upon canonical slit-domains

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Some Inequalities Relating to Conformal Mapping upon Canonical Slit-domains

(1) f = se(z) = z + — + • • • z and which maps D conformally and bi-uniformly upon a domain De of the f-plane bounded by n rectilinear slits each of which makes the angle 0 with the positive direction of the real axis. The domain De is itself also uniquely determined for each value of 0. In the present paper we shall derive two inequalities involving the coefficient a$ appearing in (1) and the ...

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ژورنال

عنوان ژورنال: Bulletin of the American Mathematical Society

سال: 1947

ISSN: 0002-9904

DOI: 10.1090/s0002-9904-1947-08895-9