Some Mathematical Methods of PhysicsMcGraw-Hill, 1960 - 300 páginas |
Dentro del libro
Resultados 1-3 de 49
Página xi
... Integral 2B.7 The Fourier - Bessel Expansion 275 276 Appendix 2C The Cylindrical Functions . 280 2C.1 Introduction 280 · 2C.2 The Integral Representation of J1 ( p ) 280 2C.3 The Integral Representations of the General Cylindrical ...
... Integral 2B.7 The Fourier - Bessel Expansion 275 276 Appendix 2C The Cylindrical Functions . 280 2C.1 Introduction 280 · 2C.2 The Integral Representation of J1 ( p ) 280 2C.3 The Integral Representations of the General Cylindrical ...
Página 264
Gerald Goertzel, Nunzio Tralli. - If this integral has a limit as e → 0 , we call the limit the principal value of I , and denote it by PI2 . To find the principal value of I , we form the integral of eizt / ( z — α ) along a contour C ...
Gerald Goertzel, Nunzio Tralli. - If this integral has a limit as e → 0 , we call the limit the principal value of I , and denote it by PI2 . To find the principal value of I , we form the integral of eizt / ( z — α ) along a contour C ...
Página 281
... integral representations of the Bessel function of integral order . We may use the integral representations to prove that J - n ( p ) = ( - 1 ) " J „ ( p ) as follows : In ( 2C.2 ) substitute -n for m . Then J - n ( p ) = π 1 Set ( p ...
... integral representations of the Bessel function of integral order . We may use the integral representations to prove that J - n ( p ) = ( - 1 ) " J „ ( p ) as follows : In ( 2C.2 ) substitute -n for m . Then J - n ( p ) = π 1 Set ( p ...
Contenido
Perturbation of Eigenvalues | 14 |
The Laplacian v2 in One Dimension | 18 |
Solution for Diagonalizable Matrices | 21 |
Derechos de autor | |
Otras 19 secciones no mostradas
Otras ediciones - Ver todas
Términos y frases comunes
approximate arbitrary ax² basis Bessel function boundary conditions chap coefficients column consider constant continuous systems contour coordinates corresponding cylindrical functions d²/dx² defined denoted determinant diagonal differential equation Dirac notation domain eigen eigencolumns eigenfunctions eigenvalue equation eigenvector eikr evaluate expansion finite number follows Fourier given Green's function Hence Hermitian Hermitian matrix Hermitian operator infinite integral inverse Laplace transform Laplacian linear operator linearly independent lowest eigenvalue matrix membrane method multiplication nonsingular normal obtained orthonormality conditions plane problem procedure relations representation result satisfies the boundary scattering sinh solve spherical spherical harmonics string Substitution theorem trial functions vanish variable vector space Verify wave write written y₁ yields York zero ηπχ πο ποχ ди ду дх