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Table of Contents: ...Determine matrices -- Wigner ensemble and semi-circle law -- More on Gaussian matrices -- Wishart ensemble and Marcenko-Pastur distribution -- Joint distribution of eigenvalues -- Eigenvalues and Orthogonal polynomials -- The Jacobi ensemble -- Addition...

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Table of Contents: ... Function -- 7. Coulomb Wave Functions -- 8. Hypergeometric Functions -- 9. J Functions -- 10. Jacobi Elliptic Functions -- 11. Elliptic Integrals -- 12. Weierstraß Functions -- 13. Parabolic Cylinder Functions -- 14. Mathieu Functions -- 15. Orthogonal...

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Table of Contents: ... -- Chapter 13: Infinite-dimensional vector spaces -- Chapter 14: Linear operators on a vector space -- Chapter 15: Operator algebras and identities -- Chapter 16: Orthogonal polynomials -- Chapter 17: Fourier series -- Chapter 18: Fourier integrals -- Chapter 19...

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Table of Contents: ... and Orthogonal Polynomials -- 3.1. Introduction and chapter summary -- 3.2. Metric spaces -- 3.2.1. Definition of distance -- 3.2.2. Definition of topology -- 3.2.3. Examples of distances -- 3.2.4. Inequalities and equivalent distances -- 3.2.5. Distance...

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Table of Contents: ...Basics -- Hypergeometric series with applications -- Integral equations -- Orthogonal polynomials -- Solutions to the problems....

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Totik, V.
2014
Subject (ZB): ...Orthogonal polynomials....

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Table of Contents: ... Orthogonal Polynomials -- 8 Fourier Analysis -- III Complex Analysis -- 9 Complex Calculus -- 10 Calculus of Residues -- 11 Advanced Topics -- IV Differential Equations -- 12 Separation of Variables in Spherical Coordinates -- 13 Second-Order Linear Differential...

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Table of Contents: ... Estimation I: Maximum Likelihood, Point Estimation II: Least-Squares Method, Point Estimation III: Other Methods, Confidence Intervals and Regions, Hypothesis Testing, Appendices, Summary of Distribution Properties, Miscellaneous Mathematics, Orthogonal...

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