Results 21 to 30 of about 3,310,385 (276)
Axioms, 2023 The paper deals with the problem of representation of Horn’s hypergeometric functions by branched continued fractions. The formal branched continued fraction expansions for three different Horn’s hypergeometric function H4 ratios are constructed.
Tamara Antonova +3 more
doaj +1 more source
Bolzano's Theorem in Several Complex Variables [PDF]
Proceedings of the American Mathematical Society, 1980 Let Ω \Omega be a bounded domain in C n {C^n} containing the origin. Let f : Ω ¯ → C n f:\bar \Omega \to {C^n} be analytic in Ω
openaire +1 more source
k-convexity in several complex variables [PDF]
Annales Polonici Mathematici, 2002 Formerly, D.~Mejia, D.~Minda and W.~Ma investigated the hyperbolic geometry of \(k\)-convex regions in \(\mathbb C\), \(k\)-convex functions on the unit disk \(U \in \mathbb C\), and obtained growth and distortion theorems for \(k\)-convex functions on \(U\). In this paper, their results are generalized for the case of several complex variables.
Hamada, Hidetaka, Kohr, Gabriela
openaire +1 more source
Kernel convergence and biholomorphic mappings in several complex variables
International Journal of Mathematics and Mathematical Sciences, 2003 We deal with kernel convergence of domains in ℂn which are biholomorphically equivalent to the unit ball B. We also prove that there is an equivalence between the convergence on compact sets of biholomorphic mappings on B, which satisfy a growth theorem,
Gabriela Kohr
doaj +1 more source
Representation of logarithm of entire function in several complex variables
Karpatsʹkì Matematičnì Publìkacìï, 2013 The integral representation of some branch of an entire on $\mathbb{C}^n$ function which generalized the Poisson-Jensen-Stoll Formula is obtained.
O. Ya. Brodyak, Ya. V. Vasyl'kiv
doaj +1 more source
A Note on Strongly Starlike Mappings in Several Complex Variables
Abstract and Applied Analysis, 2014 Let f be a normalized biholomorphic mapping on the Euclidean unit ball 𝔹n in ℂn and let α∈0,1. In this paper, we will show that if f is strongly starlike of order α in the sense of Liczberski and Starkov, then it is also strongly starlike of order α in ...
Hidetaka Hamada +3 more
doaj +1 more source
Journal of Mathematics, 2023 This article is to describe the entire solutions of some partial differential-difference equations and systems. Some theorems about the forms of transcendental entire solutions with finite order for several high-order partial differential-difference ...
Yuxian Chen, Libing Xie, Hongyan Xu
doaj +1 more source
On the Analytic Continuation of Lauricella–Saran Hypergeometric Function FK(a1,a2,b1,b2;a1,b2,c3;z)
Mathematics, 2023 The paper establishes an analytical extension of two ratios of Lauricella–Saran hypergeometric functions FK with some parameter values to the corresponding branched continued fractions in their domain of convergence.
Tamara Antonova +2 more
doaj +1 more source
Uniformly starlike and uniformly convex mappings in several complex variables [PDF]
Проблемы анализа, 2000 In this paper we introduce some subclasses of biholomorphic mappings on the unit ball of ℂ n. These mappings called uniformly starlike and uniformly convex are introduced by geometric interpretation, like in the case of one variable.
Kanas S., Kohr G., Kohr M.
doaj
Demonstratio Mathematica, 2023 In this article, we investigate the existence and the precise form of finite-order transcendental entire solutions of some system of Fermat-type quadratic binomial and trinomial shift equations in Cn{{\mathbb{C}}}^{n}. Our results are the generalizations
Haldar Goutam, Banerjee Abhijit
doaj +1 more source