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A Radial Derivative with Boundary Values of the Spherical Poisson Integral
-
O. Dzagnidze
Veröffentlicht/Copyright:
24. Februar 2010
Abstract
A formula of a radial derivative 
is obtained with the aid of derivatives with respect to θ and to φ of the functions closely connected with the spherical Poisson integral 𝑢f (r, θ, φ) and the boundary values are determined for . The boundary values are also found for partial derivatives with respect to the Cartesian coordinates 
, 
and 
.
Key words and phrases.: Spherical Poisson integral; allied functions (integrals, kernels); radial derivative; angular limit; limit
Received: 1995-12-18
Published Online: 2010-02-24
Published in Print: 1999-February
© 1999 Plenum Publishing Corporation
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- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
Schlagwörter für diesen Artikel
Spherical Poisson integral;
allied functions (integrals, kernels);
radial derivative;
angular limit;
limit
Artikel in diesem Heft
- Application of Analogues of General Kolosov–Muskhelishvili Representations in the Theory of Elastic Mixtures
- A Radial Derivative with Boundary Values of the Spherical Poisson Integral
- Tensor Products of Non-Archimedean Weighted Spaces of Continuous Functions
- On Periodic Solutions of Nonlinear Functional Differential Equations
- Two-Weighted Inequalities for Integral Operators in Lorentz Spaces Defined on Homogeneous Groups
- On the Absolute Summability of Series with Respect to Block-Orthonormal Systems
- Weakly Periodic Sequences of Bounded Linear Transformations: A Spectral Characterization
