Functions, EntireWe introduce the notion of proximate order for entire functions with indexpair ( p,q ), for integers p and q such that 1≤ q ≤ p to study the type of entire functions of several complex variables. One of our main results is a generalization of a theorem due to ...
These functions and the logarithms of the first two belong to the class U (see Property 6.1.2); so, the results of Chapter 6 are applicable. For instance, the growth scales for the classes M n and N n x considered in that chapter are also growth scales for the corresponding classes ...
A space of entire functions of several complex variables rapidly decreasing on ${\mathbb R}^n$ and such that their growth along $i{\mathbb R}^n$ is majorized with a help of a family of weight functions is considered in the paper. For this space an equivalent description in terms of es...
Inequalities for holomorphic functions of several complex variables Trans. Amer. Math. Soc., 276 (1983), pp. 247-266 View in ScopusGoogle Scholar 7. E.A Carlen Superadditivity of Fisher's information and logarithmic Sobolev inequalities (1989) Princeton preprint Google Scholar 8. E Fischer Üb...
IntegervaluedentirefunctionsonCartesianproductsMichelWaldschmidtAAndrzejSchinzelpourson60-emeanniversaireAbstract.Ourgoalis tostudyentirefunctionsofη complexvariableswhichtakeintegervalues(inZ)ona CartesianproductΧιχ ...χXnCC™,whereX\,...,X„aresub-setsofC.Ourmainresultstatesthatseveralsuchfunctionswhich...
The first part of the volume contains a comprehensive description of the theory of entire and meromorphic functions of one complex variable and its applications. It includes the fundamental notions, methods and results on the growth of entire functions and the distribution of their zeros, the Rolf...
【4周达】一个和几个复变量中的整个全纯映射 Entire Holomorphic Mappings in One and Several Complex Variables. (Am-85), ... 原版新书 3-4周内到达苏州后顺丰快递发出 配送 至 选择地区查看预计配送信息 快递:免运费 服务7天无理由退货 · 收货后结算 ...
Angular distribution and deficient values of entire functions and their derivatives30D1530D35Let f be an entire function of positive and finite lower order are q (1 ≤ q < + ∞) rays issued from the origin. If f and f (l) (l = 1, 2 …) have no Borel direction of order ≥μ ...
By making use of Nevanlinna theory with several complex variables and Hadamard factorization theory of meromorphic functions, and combining with the properties of the full rank determinants and algebraic cofactor, we prove that equation in C3 has no any finite order transcendental entire solution under...
Let be a compact complex manifold such that the bundle of holomorphic -forms is positive in the sense of Grauert. Let be a h 关键词: Several complex variables extension of holomorphic maps generalization of Picard theorem Schottky-Landau theorem branched cover DOI: 10.1090/S0002-9947-1972-...