Results 11 to 20 of about 3,259,279 (281)

Representation of Some Ratios of Horn’s Hypergeometric Functions H₇ by Continued Fractions

Axioms, 2023
The paper deals with the problem of representation of Horn’s hypergeometric functions via continued fractions and branched continued fractions. We construct the formal continued fraction expansions for three ratios of Horn’s hypergeometric functions H7 ...
Tamara Antonova, Roman Dmytryshyn, Pavlo Kril, Serhii Sharyn   +3 more
doaj   +1 more source

Properties of composite positive continuous functions in $\mathbb{C}^n$

Karpatsʹkì Matematičnì Publìkacìï, 2015
The properties of positive continuous functions with $Q^n_{\mathbf{b}}$ and $Q$ are investigated. We prove that some composite functions with $Q$ belong to class $Q^n_{\mathbf{b}}.$ A relation between functions with these classes are established.
A.I. Bandura
doaj   +1 more source

Cauchy-type integrals in several complex variables [PDF]

, 2013
We present the theory of Cauchy-Fantappi\'e integral operators, with emphasis on the situation when the domain of integration, $D$, has minimal boundary regularity.
Lanzani, Loredana, Stein, Elias M.
core   +2 more sources

Harmonic Analysis Techniques in Several Complex Variables

Bruno Pini Mathematical Analysis Seminar, 2014
We give a survey of recent joint work with E.M. Stein (Princeton University) concerning the application of suitable versions of the T(1)-theorem technique to the study of orthogonal projections onto the Hardy and Bergman spaces of holomorphic functions ...
Loredana Lanzani
doaj   +1 more source

On the domains of convergence of the branched continued fraction expansion of ratio $H_4(a,d+1;c,d;\mathbf{z})/H_4(a,d+2;c,d+1;\mathbf{z})$

Researches in Mathematics, 2023
The paper considers the problem of establishing the convergence criteria of the branched continued fraction expansion of the ratio of Horn's hypergeometric functions $H_4$. To solve it, the technique of expanding the domain of convergence of the branched
R.I. Dmytryshyn, I.-A.V. Lutsiv, O.S. Bodnar   +2 more
doaj   +1 more source

Parametric formal Gevrey asymptotic expansions in two complex time variable problems [PDF]

Opuscula Mathematica
The analytic and formal solutions to a family of singularly perturbed partial differential equations in the complex domain involving two complex time variables are considered.
Guoting Chen, Alberto Lastra, Stéphane Malek   +2 more
doaj   +1 more source

On groups of formal diffeomorphisms of several complex variables

Anais da Academia Brasileira de Ciências, 2012
In this note we announce some results in the study of groups of formal or germs of analytic diffeomorphisms in several complex variables. Such groups are related to the study of the transverse structure and dynamics of Holomorphic foliations, via the ...
Mitchael Martelo, Bruno Scárdua
doaj   +1 more source

The study of solutions for several systems of PDDEs with two complex variables

Demonstratio Mathematica, 2023
The purpose of this article is to describe the properties of the pair of solutions of several systems of Fermat-type partial differential difference equations.
Xu Yi Hui, Liu Xiao Lan, Xu Hong Yan
doaj   +1 more source

Degeneracy and finiteness theorems for meromorphic mappings in several complex variables [PDF]

, 2017
In this article, we prove that there are at most two meromorphic mappings of $\mathbb C^m$ into $\mathbb P^n(\mathbb C)\ (n\geqslant 2)$ sharing $2n+2$ hyperplanes in general position regardless of multiplicity, where all zeros with multiplicities more ...
Quang, Si Duc
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On Some Branched Continued Fraction Expansions for Horn’s Hypergeometric Function H₄(a,b;c,d;z₁,z₂) Ratios

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, Roman Dmytryshyn, Ilona-Anna Lutsiv, Serhii Sharyn   +3 more
doaj   +1 more source