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On the weights of positive quadrature formulas for ultraspherical weight
K J Forster 35
19 other sections not shown
algebraic Appl applied approximation associated asymptotic expansion Bessel functions Bieberbach conjecture Chebyshev Christoffel numbers coherent pair Comp complex compute condition conjecture consider constant convergence Corollary decreases deduce defined denote derivative differential equation exists Fourier series funzioni Gauss function Gaussian given Hermite polynomials holds hypergeometric functions incomplete gamma functions increasing inequality integral interval J.C. Baltzer Jacobi polynomials Laguerre polynomials Legendre lemma linear functional lower bounds Luigi Gatteschi Math Mathematics method monic monotonicity node nomials numerical obtain orthogonal polynomials orthogonal with respect parameter Pn(x points Politec polynomial of degree polynomials orthogonal positive quadrature formula positive zero proof properties prove Qn(x recurrence coefficients recurrence relation satisfy Science Publishers sequence singular Sobolev inner product Sobolev space special functions splines Struve function Szego theorem theory Torino transformation ultraspherical Univ upper bound values weight functions WKB approximation