Results 11 to 20 of about 202,771,687 (141)
Construction of solutions to PDEs using holomorphic functions of several variables [PDF]
Electronic Journal of Differential EquationsThe work develops Humbert's method of solving PDEs. It applies method for constructing solutions of the three-dimensional Laplace, Helmholtz, and Poisson equations in the form of components of holomorphic functions of several variables (complex and ...
Vitalii Shpakivskyi
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Slice regular functions in several variables [PDF]
, 2020 In this paper, we lay the foundations of the theory of slice regular functions in several variables ranging in any real alternative $^*$-algebra, including quaternions, octonions and Clifford algebras.
Ghiloni, Riccardo +3 more
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Universal overconvergence and Ostrowski gaps for holomorphic functions of several variables [PDF]
, 2016 We study the universal overconvergence and its relations with Ostrowski gaps for holomorphic functions of several complex ...
Jarnicki, Marek, Siciak, Józef
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The star function for meromorphic functions of several complex variables [PDF]
, 2019 We define an analogue of the Baernstein star function for a meromorphic function f in several complex variables. This function is subharmonic on the upper half-plane and encodes some of the main functionals attached to f. We then characterize meromorphic
Abi-Khuzam, Faruk F. +2 more
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Lower-dimensional decompositions using complex variables [PDF]
, 1998 summary:The purpose of the present paper is to represent non-holomorphic functions depending on one or several complex variables by holomorphic and anti-holomorphic functions depending on only one complex variable.
Tutschke, Wolfgang
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
Axioms, 2019 In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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, 2020 This paper is devoted to a generalization of the well-known Fekete-Szegö type coefficients problem for holomorphic functions of a complex variable onto holomorphic functions of several variables.
Piotr Liczberski, Renata Długosz
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Analyticity in Several Complex Variables [PDF]
, 2020 Master's thesis in Mathematics and physicsthere are many similarities between complex analysis in several variables and one variable but there are also some important differences between holomorphic functions of a single variable and holomorphic ...
Zahid, Sadaf
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Zhejiang Daxue xuebao. Lixue ban, 2016 Supposing that α>0,let g be holomorphic functions in the unit ball B and µ(r) be a normal function on [0,1). Some questions of extended Cesàro operators are studied from µ-Bloch spaces to Zygmund type spaces in the unit ball. By the methods of functional
ZHAOYanhui(赵艳辉)
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Fractal and FractionalThe paper deals with the problem of representing special functions by branched continued fractions, particularly multidimensional A- and J-fractions with independent variables, which are generalizations of associated continued fractions and Jacobi ...
Roman Dmytryshyn, Serhii Sharyn
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