Jacobi Polynomial Expansions
Copyright policy )Jacobi Polynomial Expansions
The paper is devoted to eigenfunction expansions associated with Jacobi polynomials \([^{\alpha,\beta} P_ n]^ \infty_{n=0}\). The classical expansion associated with the Jacobi operator is well-known when \(a>-1\), \(\beta> -1\). It is shown that when \(\alpha\), \(\beta-1\). Finally, it is shown that spectral resolution in the \(L_ 2\) space hold in the new space mentioned above.
- Pennsylvania State University United States
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Approximation by polynomials, Applied Mathematics, Jacobi polynomials, spectral resolution, Spectrum, resolvent, eigenfunction expansions, Analysis, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Approximation by polynomials, Applied Mathematics, Jacobi polynomials, spectral resolution, Spectrum, resolvent, eigenfunction expansions, Analysis, Eigenfunctions, eigenfunction expansions, completeness of eigenfunctions of ordinary differential operators
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