Mixed Boundary Value Problems in Potential Theory |
Contents
THE OCCURRENCE OF MIXED BOUNDARY VALUE PROBLEMS IN POTENTIAL | 1 |
MATHEMATICAL PRELIMINARIES | 26 |
DUAL SERIES EQUATIONS | 37 |
6 other sections not shown
Common terms and phrases
axisymmetric Bessel function boundary conditions boundary value problems coefficients consider continuously differentiable cos(n cosh cosu cosx defined by equation denotes derived determination dual integral equations dual relations dual series equations dual series relations electrified disk electrostatic equa equivalent Erdélyi formula fractional integral Fredholm equation Fredholm integral equation free term function f(x g₁(x given by equation h₁(t h₁(x half-space Hankel Hankel transform harmonic function I₁ interchange the order it)² Jacobi polynomial kernel L₁(x Laplace's equation Math method mixed boundary value obtain the relation operator pair of dual pair of equations plane potential function potential theory prescribed R₁ reduces result S₁ satisfies side of equation Similarly sin(n Sneddon solution solve spherical cap substitute from equation Substituting this expression tion u)du V₁ V₂ write xel₁ xel2 дф