On the $$L^2$$-norm of Gegenbauer polynomials
Copyright policy )On the $$L^2$$-norm of Gegenbauer polynomials
AbstractGegenbauer, also known as ultra-spherical, polynomials appear often in numerical analysis or interpolation. In the present text we find a recursive formula for and compute the asymptotic behavior of their $$L^2$$ L 2 -norm.
- FWF Austrian Science Fund Austria
- Graz University of Technology Austria
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, \(L^2\)-norm, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), asymptotics, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 33F99, 41A60
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Gegenbauer polynomials, \(L^2\)-norm, Asymptotic approximations, asymptotic expansions (steepest descent, etc.), asymptotics, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, 33C45, 33F99, 41A60
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