Results 31 to 40 of about 2,418,931 (242)
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
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Complex symmetric weighted composition operators on the Fock space in several variables [PDF]
, 2017 We characterize all selfadjoint as well as all unitary anti-linear weighted composition operators acting on the Fock space . Then we obtain a complete description of anti-linear weighted composition operators that are conjugations. These results allow us
Khoi, Le Hai +3 more
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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
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On Pólya’s Theorem in several complex variables [PDF]
Banach Center Publications, 2015 Let $K$ be a compact set in $\mathbb{C}$, $f$ a function analytic in $\overline{\mathbb{C}}\smallsetminus K$ vanishing at $\infty $. Let $% f\left( z\right) =\sum_{k=0}^{\infty }a_{k}\ z^{-k-1}$ be its Taylor expansion at $\infty $, and $H_{s}\left( f\right) =\det \left( a_{k+l}\right) _{k,l=0}^{s}$ the sequence of Hankel determinants.
Günyüz, Ozan, Zakharyuta, Vyacheslav
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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
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Weighted composition operators between large Fock spaces in several complex variables
Journal of Functional Analysis, 2019 Let ϕ be an entire self-map of C n , and let u be an entire function on C n . A weighted composition operator induced by ϕ with weight u is given by ( u C ϕ f ) ( z ) = u ( z ) f ( ϕ ( z ) ) for z in C n and f is an entire function on C n . In this paper,
H. Arroussi, C. Tong
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Analysis and Mathematical Physics, 2023 This article is devoted to describe the entire solutions of several systems of the first order nonlinear partial differential equations. By using the Nevanlinna theory and the Hadamard factorization theory of meromorphic functions, we establish some ...
Hongyan Xu, Yi Hui Xu, Xiao Lan Liu
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The *-product of domains in several complex variables
Complex Variables and Elliptic Equations, 2022 In this article we continue the research, carried out in \cite{zajac}, on computing the $*$-product of domains in $\CC^N$. Assuming that $0\in G\subset\CC^N$ is an arbitrary Runge domain and $0\in D\subset\CC^N$ is a bounded, smooth and linearly convex domain (or a non-decreasing union of such ones), we establish a geometric relation between $D*G$ and ...
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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
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Analysis and geometry in several complex variables : proceedings of the 40th Taniguchi Symposium [PDF]
, 2022 x, 314 p. : ill.
Komatsu, Gen +2 more
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