Hypergeometric systems of Gelfand-type equations and series in orthogonal polynomials
β Scribed by Mark I. Graev; Vladimir S. Retakh
- Publisher
- Springer
- Year
- 1993
- Tongue
- English
- Weight
- 363 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0377-9017
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π SIMILAR VOLUMES
Abel's theorem is used to solve the Fredholm integral equations of the first kind with Gauss's hypergeometric kernel. The case that the kernel takes general form is discussed in detail and the solution is given. Here, the works of some authors are considered as special cases. The discussion focuses
Transformations of the measure of orthogonality for orthogonal polynomials, namely Freud transformations, are considered. Jacobi matrix of the recurrence coefficients of orthogonal polynomials possesses an isospectral deformation under these transformations. Dynamics of the coefficients are describe
A kind of function-valued PadΓ©-type approximant via the formal orthogonal polynomials (FPTAVOP) is introduced on the polynomial space and an algorithm is sketched by means of the formal orthogonal polynomials. This method can be applied to approximate characteristic values and the corresponding char