Orthogonal Polynomials

Garant předmětu:

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Supervisor:

Department of Physics

Synopsis:

Weight function and Theory of moments, recurrence formula, Jacobi matrix, Rodrigues' formula, zeros of polynomials and its location, classical sequencer of polynomials, generating function, Askey - scheme of sequences of orthogonal polynomials.

Requirements:

None

Syllabus of lectures:

Weight function and Theory of moments, recurrence formula, Jacobi matrix, Rodrigues' formula, zeros of polynomials and its location, classical sequencer of polynomials, generating function, Askey - scheme of sequences of orthogonal polynomials.

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Key reference

[1] T.S.Chihara „An Intoduction to Orthogonal Polynomials“ Gordon and Breach, NY 1978

Recommended reference

[2] Ch. Dunkel, Y. Xu „Orthogonal Polynomials of Several Variables“, Cambrige, UK 2001

Note:

Further information:

No time-table has been prepared for this course

The course is a part of the following study plans: