LINEAR HULL OF EXPONENTIALS IN SOME SPACES OF ENTIRE FUNCTIONS OF SEVERAL COMPLEX VARIABLESLet ∧ = (λ~k)_(k=1)~∞ be a sequence of complex vectors in C~n with lim_(k→∞) |λ~k| = ∞ It generates the exponential system ε_∧ = (e~<λ~k,z>)_(k=1)~∞ , z ∈C~n, ...
In the present paper, we study the growth properties of entire functions of several complex variables. The characterizations of lower order of entire functions of several complex variables have been obtained in terms of their Taylor's series coefficients. Also we have obtained some inequalities betwee...
ZH Tu - 《Journal of Mathematical Analysis & Applications》 被引量: 38发表: 2002年 Functions of finite 饾渾-type in several complex variables of meromorphic mappings of several complex variables into PN(C), the complex N-dimensional projective space, related to Nochka's Picard type theorems. ...
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...
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 ...
S. General gamma-functions, exponentiels, and hypergeometric functions. Uspekhi Matem. Nauk (1998), Vol. 53, no. 1, pp. 3–60. Google Scholar Geche F. I. On growth characteristics for entire functions of several complex variables. Dokl. AN SSSR, (1965), Vol. 164, no. 33, pp. ...
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...
Wiman-valiron theory for entire functions of several complex variables A numerical technique for simulating unsteady viscous fluid flow in turbomachinery components has been developed. In this technique, the three-dimensional ... A Schumitzky - Cornell University 被引量: 15发表: 1965年 The size ...
This paper is concerned with description of the existence and the forms of entire solutions of several second-order partial differential-difference equations with more general forms of Fermat type. By utilizing the Nevanlinna theory of meromorphic functions in several complex variables we obtain some re...
IntegervaluedentirefunctionsonCartesianproductsMichelWaldschmidtAAndrzejSchinzelpourson60-emeanniversaireAbstract.Ourgoalis tostudyentirefunctionsofη complexvariableswhichtakeintegervalues(inZ)ona CartesianproductΧιχ ...χXnCC™,whereX\,...,X„aresub-setsofC.Ourmainresultstatesthatseveralsuchfunctionswhich...