A hypercomplex derivative of monogenic functsions in and its Applications
K Gürlebeck, HR Malonek - Complex Variables and Elliptic …, 1999 - Taylor & Francis
We generalize the definition of a certain derivative of regular functions of variables from the
four-dimensional real associative algebra of quaternions to monogenic functions of …
four-dimensional real associative algebra of quaternions to monogenic functions of …
[图书][B] Application of holomorphic functions in two and higher dimensions
K Gürlebeck, K Habetha, W Sprößig - 2016 - Springer
Complex analysis is one of the most interesting areas in mathematics. Methods of complex
function theory have proven to be useful for the treatment of plane problems of mathematical …
function theory have proven to be useful for the treatment of plane problems of mathematical …
[HTML][HTML] On the Π-operator in Clifford analysis
In this paper we prove that a generalization of complex Π-operator in Clifford analysis,
obtained by the use of two orthogonal bases of a Euclidean space, possesses several …
obtained by the use of two orthogonal bases of a Euclidean space, possesses several …
On the -Hyperderivative of the -Cauchy-Type Integral in Clifford Analysis
R Abreu Blaya, J Bory Reyes, AG Adan… - … Methods and Function …, 2017 - Springer
The aim of this paper is to introduce, in the framework of Clifford analysis, the notions of φ φ-
hyperdifferentiability and φ φ-hyperderivability for ψ ψ-hyperholomorphic functions where …
hyperdifferentiability and φ φ-hyperderivability for ψ ψ-hyperholomorphic functions where …
On the Π-operator in hyperholomorphic function theory
K Gürlebeck, U Kahler, M Shapiro - Advances in Applied Clifford Algebras, 1999 - Springer
On the Π-operator in hyperholomorphic function theory Page 1 ON THE ILOPERATOR
IN HYPERHOLOMORPHIC FUNCTION THEORY K. Gª Bauhaus-Universit5t Weimar, Fakultiit …
IN HYPERHOLOMORPHIC FUNCTION THEORY K. Gª Bauhaus-Universit5t Weimar, Fakultiit …
On a boundary value problem of the biharmonic equation
K Gürlebeck, U Kähler - Mathematical methods in the applied …, 1997 - Wiley Online Library
In this paper, we study a system of biharmonic equations coupled by the boundary
conditions. These boundary conditions contain some combinations of the values, div, curl …
conditions. These boundary conditions contain some combinations of the values, div, curl …
On some operators in Clifford analysis
K Gürlebeck - Contemporary Mathematics, 1998 - books.google.com
The aim of this paper is to consider properties of some opera-tors arising in Clifford analysis.
We study the properties of integral operators related to the generalized Cauchy–Riemann …
We study the properties of integral operators related to the generalized Cauchy–Riemann …
On some classes of Π-operators
K Gürlebeck - Dirac operators in analysis, 1998 - books.google.com
In this paper we study some generalizations of the complex II-operator. The complex II-
operator is defined as derivative of the Teodorescu transform T or directly by a singular …
operator is defined as derivative of the Teodorescu transform T or directly by a singular …
Nonlinear Riemann-Hilbert Problems for Axial-and Bi-axial-monogenic Functions
M Almeida, P Cerejeiras, U Kähler - Complex Analysis and Operator …, 2024 - Springer
In this paper we show a new approach to study Riemann-Hilbert (RH) problems in the
context of monogenic functions over axial-and bi-axial domains. The basic idea is to reduce …
context of monogenic functions over axial-and bi-axial domains. The basic idea is to reduce …
A quaternionic Beltrami-type equation and the existence of local homeomorphic solutions
P Cerejeiras, K Gürlebeck, U Kähler… - Zeitschrift für Analysis …, 2001 - ems.press
A Quaternionic Beltrami-Type Equation and the Existence of Local Homeomorphic Solutions
Page 1 Zeitschrift für Analysis und ihre Anwendungen Journal for Analysis and its Applications …
Page 1 Zeitschrift für Analysis und ihre Anwendungen Journal for Analysis and its Applications …