Classical ellipsoidal and sphero-conal harmonics are polynomial solutions of the Laplace equation that can be expressed in terms of Lamé polynomials. Generalized ellipsoidal and sphero-conal harmonics are polynomial solutions of the more general Dunkl equation that can be expressed in terms of Stieltjes polynomials. Niven's formula connecting ellipsoidal and sphero-conal harmonics is generalized. Moreover, generalized ellipsoidal harmonics are applied to solve the Dirichlet problem for Dunkl's equation on ellipsoids
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
The paper introduces external ellipsoidal and external sphero-conal $h$-harmonics for the Dunkl-Lapl...
We present a new class of polynomials that are solutions of the generalized Laplacedifferential equa...
"The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodi...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
The paper introduces external ellipsoidal and external sphero-conal $h$-harmonics for the Dunkl-Lapl...
We present a new class of polynomials that are solutions of the generalized Laplacedifferential equa...
"The sphere is what might be called a perfect shape. Unfortunately nature is imperfect and many bodi...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
This thesis deals with solutions to Laplace's equation in 3D, finding new relationships between solu...
AbstractIf u(z) = Re F(z) is the solution to the Dirichlet problem for Laplace's equation in an elli...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
Certain aspects and a contribution to the theory of new forms of solutions of an algebraic form of t...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
The correct use of ellipsoidal coordinates and related ellipsoidal harmonic functions can provide a ...
This paper is devoted to extend the spherical harmonics technique to the solution of parabolic diffe...