The summation of series of orthogonal polynomials

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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Stable Summation of Orthogonal Series with Noisy Coefficients

We study the recovery of continuous functions from Fourier coefficients with respect to certain given orthonormal systems, blurred by noise. For deterministic noise this is a classical ill–posed problem. Emphasis is laid on a priori smoothness assumptions on the solution, which allows to apply regularization to reach the best possible accuracy. Results are obtained for systems obeying norm grow...

The Mean Convergence of Orthogonal Series of Polynomials.

analysis of reading comprehension needs of the students of paramedical studies: the case of the students of health information management (him)

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