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Note on the problem of heat conduction in a semiinﬁnite hollow
Formulas for complex interpolation
3 other sections not shown
airfoil angle applied arbitrary axis bending Bessel functions biharmonic equation bipolar coordinates boundary conditions boundary value problem calculate classiﬁcation coefﬁcients coeﬁicients column components computed consider constant convergence coordinates corresponding cosh curvature curve Danielewsky deﬁned deﬁnition deﬂection denote derivatives determined differential equations displacement distribution elastic elliptic equations of equilibrium expression ﬁeld ﬁgures ﬁnal ﬁnd ﬁnite ﬁrst ﬁxed ﬂow ﬂuid formula Fourier series function given gives Hence impedance incompressible inﬁnite integral interpolation Laplace equation linear load Math mathematical matrix membrane middle surface nonlinear normal obtained plane plate polynomial potential quantity ratio relaxation method residuals satisﬁed shearing stress signiﬁcant sinh solution solved speciﬁc square strain stress subspace Substituting Table tensor theorem theory thin shells tion torsion transformation transmission vanish variable vector vector potential velocity velocity potential visco-elastic wave guide zero