Disk-like functions
نویسندگان
چکیده
منابع مشابه
Notes on functions on the unit disk
As usual, R denotes the real numbers, Z denotes the integers, and C denotes the complex numbers. Thus each α ∈ C can be expressed as a + b i, where a, b are real numbers and i = −1. We call a, b the real and imaginary parts of α, and denote them Reα, Imα, respectively. If z is a complex number, with z = x + y i where x, y are the real and imaginary parts of z, then we write z for the complex co...
متن کاملHarmonic Functions in the Unit Disk
Your use of the JSTOR archive indicates your acceptance of JSTOR's Terms and Conditions of Use, available at http://www.jstor.org/about/terms.html. JSTOR's Terms and Conditions of Use provides, in part, that unless you have obtained prior permission, you may not download an entire issue of a journal or multiple copies of articles, and you may use content in the JSTOR archive only for your perso...
متن کاملStructure of a disk-like mesophase
2014 We have obtained X-ray diffraction patterns from the mesomorphic phase of two derivatives of terphenylene. The observations agree with the structure already proposed for the mesomorphic phase of a similar molecule : the molecules are stacked in columns and the columns form a regular hexagonal array. In addition it is possible to give a more accurate description of the positions of the terp...
متن کاملHighly dispersible disk-like graphene nanoflakes.
We present the preparation of disk-like graphene nanoflakes, highly dispersible in dimethylformamide (DMF), with uniform size and thickness. The preparation procedure includes an overnight mild sonication of natural graphite in DMF, followed by a purification step using ultra-centrifugation. The mean diameter of the as produced well defined round shaped graphene nanoflakes is about 100 nm and t...
متن کاملValence and Oscillation of Functions in the Unit Disk
We investigate the number of times that nontrivial solutions of equations u′′ + p(z)u = 0 in the unit disk can vanish—or, equivalently, the number of times that solutions of S(f) = 2p(z) can attain their values—given a restriction |p(z)| ≤ b(|z|). We establish a bound for that number when b satisfies a Nehari-type condition, identify perturbations of the condition that allow the number to be in...
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: Journal of the Australian Mathematical Society
سال: 1970
ISSN: 0004-9735
DOI: 10.1017/s1446788700006431