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 consi
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...
Complex Variables Theory & Application An International JournalK. YOSHINO, Liouville type theorems for entire functions of exponential type. Complex Variables: Theory and Applications 5, (1985) 21-51.YOSHINO K. "Liouville type theorem for entire functions of exponential type", Complex variables,5,(...
2.Transcendence Measure for the Value of Mahler Type Functions with Several Variables多变量Mahler型函数值的超越度量 3.An Efficient Algorithm for Computing the Zeros of Transcendental Functions in the Complex plane复平面上计算超越函数零点的一种有效算法 4.Solving Higher-degree or Transcendental Equations ...
Integer valued entire functions on Cartesian products Michel Waldschmidt A Andrzej Schinzel pour son 60-eme anniversaire Abstract. Our goal is to study entire functions ofη complex variables which take integer values (in Z) on a Cartesian product Χι χ ... χ Xn C C™, where X\,......
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...
One may, however, try to answer a simpler question, namely whether one can find other complex functions f from which one can build a function M(s, u) that has all the properties of an amplitude in a QFT whose spectrum of exchanged particles is given by the set of zeroes of f . ...
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...
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 ...
sufficient condition onΩ={Xν}ν=1∞⊂Rmfor the right inequality to be valid and a sufficient condition on Ω for the left one to hold true. In addition,L∞(Qbm)-discretization inequalities on anm-dimensional cube are proved for entire functions of exponential type and exponential ...