A recurrence relation for generalised connection coefficients
Copyright policy )A recurrence relation for generalised connection coefficients
We formulate and prove a general recurrence relation that applies to integrals involving orthogonal polynomials and similar functions. A special case are connection coefficients between two sets of orthonormal polynomials, another example is integrals of products of Legendre functions.
- University of Cambridge United Kingdom
- Xi’an Jiaotong-Liverpool University China (People's Republic of)
- International Centre for Mathematical Sciences United Kingdom
orthogonal function, recurrence relations, orthogonal polynomial, connection coefficients, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Classical Analysis and ODEs, associated Legendre function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Recurrences, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 33C47, 42C05
orthogonal function, recurrence relations, orthogonal polynomial, connection coefficients, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Mathematics - Classical Analysis and ODEs, associated Legendre function, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Recurrences, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, 33C47, 42C05
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