Applications of a lemma of Fejér to typically-real functions
نویسندگان
چکیده
منابع مشابه
Typically Real Harmonic Functions
We consider a class T O H of typically real harmonic functions on the unit disk that contains the class of normalized analytic and typically real functions. We also obtain some partial results about the region of univalence for this class.
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15 صفحه اولTypically-real Functions with Assigned Zeros
is said to be typically-real of order p, if in (1.1) the coefficients bn are all real and if either (I) f(z) is regular in |a| =S1 and 3/(ei9) changes sign 2p times as z = eie traverses the boundary of the unit circle, or (II) f(z) is regular in | z\ < 1 and if there is a p < 1 such that for each r in p<r<l, $f(reie) changes sign 2p times as z = reie traverses the circle \z\ =r. This set of fun...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1950
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1950-0037344-x