Domain of convergence for a series of orthogonal polynomials

The Mean Convergence of Orthogonal Series of Polynomials.

a time-series analysis of the demand for life insurance in iran

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Weak Convergence of Orthogonal Polynomials

The weak convergence of orthogonal polynomials is given under conditions on the asymptotic behaviour of the coefficients in the three-term recurrence relation. The results generalize known results and are applied to several systems of orthogonal polynomials, including orthogonal polynomials on a finite set of points.

Fourier Series of Orthogonal Polynomials

It follows from Bateman [4] page 213 after setting = 1 2 . It can also be found with slight modi cation in Bateman [5] page122. However we are not aware of any reference where explicit formulas for the Fourier coef cients for Gegenbauer, Jacobi, Laguerre and Hermite polynomials can be found. In this article we use known formulas for the connection coef cients relating an arbitrary orthogonal po...

a cross-comparative dtudy between two textbook series in terms of the presentation of politeness

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