On the zeros of an entire function which is periodic mod a non-constant entire function of order less than one
نویسندگان
چکیده
منابع مشابه
The Set on Which an Entire Function Is Small
Let f (z) be an entire function and M(r) the maximum of I f (z) on z = r . We give some results on the density of the set of points at which f (z) I is small in comparison with M(r) ; although simple, these results seem not to have been noticed before . If E is a measurable set in the z-plane, we denote by DR (E) the ratio m(z c E, I z < R)/1rRZ and by D(E) and D(E) the upper and lower densitie...
متن کاملA property of the derivative of an entire function
We prove that the derivative of a non-linear entire function is unbounded on the preimage of an unbounded set. MSC 2010: 30D30.
متن کاملinterpersonal function of language in subtitling
translation as a comunicative process is always said to be associated with various aspects of meaning loss or gain. subtitling as a mode of translating, due to special discoursal and textual conditions imposed upon it, is believed to be an obvious case of this loss or gain. presenting the spoken sound track of a film in writing and synchronizing the perception of this text by the viewers with...
15 صفحه اولOn Relations among Some Constants of an Entire Function
If Piz) is an entire function of order p, it is known that (1) M, m are its type and co-type, in case/ happens to be the rank (or position) function of the maximum term of the Maclaurin series of P (see Chapter II of [l] and Chapter II of [2]) and that (2) M and m are the logarithmic type and co-type of P, if fix) is the number of zeroes z of Piz) such that \z\ ^x (see Jensen's Theorem, Chapter...
متن کاملAn explicit non-expansive function whose subdifferential is the entire dual ball
We provide an explicit recipe for constructing a function on an arbitrary real Banach space whose Clarke and approximate subdifferentials are identically equal to the dual unit ball. Mathematics Subject Classification: Primary 49J52. Secondary 46B99.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Proceedings of the Japan Academy, Series A, Mathematical Sciences
سال: 1978
ISSN: 0386-2194
DOI: 10.3792/pjaa.54.142