Electrostatic fields in some special inhomogeneous media and new generalizations of the Cauchy-Riemann system
DOI10.1007/s00006-021-01163-2zbMath1479.35848OpenAlexW3188794847MaRDI QIDQ2049089
Publication date: 24 August 2021
Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00006-021-01163-2
\( \alpha \)-meridionalelectric field gradient tensorelliptic Euler-Poisson-Darboux equation in cylindrical coordinatesharmonic meridional mappings of the second kindradially holomorphic potential
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Functions of hypercomplex variables and generalized variables (30G35) Composite media; random media in optics and electromagnetic theory (78A48) Euler-Poisson-Darboux equations (35Q05) Electro- and magnetostatics (78A30) Maxwell equations (35Q61)
Cites Work
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- Vekua-type systems related to two-sided monogenic functions
- Hyperbolic Laplace operator and the Weinstein equation in \(\mathbb R^3\)
- Linear differential relations between solutions of the class of Euler-Poisson-Darboux equations
- Slice monogenic functions
- The representation of harmonic mappings by monogenic functions
- Die Funktionentheorie der Differentialgleichungen \(\Delta u=0\) und \(\Delta\Delta u=0\) mit vier reellen Variablen
- On harmonic potential fields and the structure of monogenic functions
- On quaternionic analysis and its modifications
- Hyperbolic function theory in the skew-field of quaternions
- The existence of Cauchy kernels of Kravchenko-generalized Dirac operators
- More on modified spherical harmonics
- Representation of Weinstein \(k\)-monogenic functions by differential operators
- Two-sided hypergenic functions
- The static Maxwell system in three dimensional axially symmetric inhomogeneous media and axially symmetric generalization of the Cauchy-Riemann system
- An orthonormal system of modified spherical harmonics
- Hyperbolic function theory
- A new approach to Cullen-regular functions of a quaternionic variable
- An integral theorem for analytic intrinsic functions on quaternions
- Application of Holomorphic Functions in Two and Higher Dimensions
- Entire Slice Regular Functions
- On Riesz systems of harmonic conjugates in R3
- On Orthonormal Polynomial Solutions of the Riesz System in ℝ3
- Geometric Characterization of "Equation missing" -Conformal Mappings
- Integral representations of generalized axially symmetric potentials in a simply connected domain
- Singularities of generalized axially symmetric potentials
- Applied Pseudoanalytic Function Theory
- Modified clifford analysis
- Modified quaternionic analysis in
- Quaternionic analysis
- Potential fields with axial symmetry and algebras of monogenic functions of vector variables. III
- Quaternionic factorization of the Schrödinger operator and its applications to some first-order systems of mathematical physics
- On the Structure of the Set of Zeros of Quaternionic Polynomials
- On the solution of the static Maxwell system in axially symmetric inhomogeneous media
- Principles of Optics
- On two-sided monogenic functions of axial type
- On homogeneous polynomial solutions of the Riesz system and their harmonic potentials
- On axially symmetric flows
- Discontinuous Integrals and Generalized Potential Theory
- Generalized axially symmetric potential theory
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