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Classical Orthogonal Polynomials of a Discrete Variable
Language: en
Pages: 388
Authors: Arnold F. Nikiforov
Categories: Science
Type: BOOK - Published: 2012-12-06 - Publisher: Springer Science & Business Media

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While classical orthogonal polynomials appear as solutions to hypergeometric differential equations, those of a discrete variable emerge as solutions of differe
Orthogonal Polynomials and Special Functions
Language: en
Pages: 432
Authors: Francisco Marcellàn
Categories: Mathematics
Type: BOOK - Published: 2006-06-19 - Publisher: Springer Science & Business Media

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Special functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the expo
Orthogonal Polynomials
Language: en
Pages: 448
Authors: Gabor Szegš
Categories: Mathematics
Type: BOOK - Published: 1939-12-31 - Publisher: American Mathematical Soc.

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The general theory of orthogonal polynomials was developed in the late 19th century from a study of continued fractions by P. L. Chebyshev, even though special
Classical and Quantum Orthogonal Polynomials in One Variable
Language: en
Pages: 748
Authors: Mourad Ismail
Categories: Mathematics
Type: BOOK - Published: 2005-11-21 - Publisher: Cambridge University Press

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The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
Orthogonal Polynomials in the Spectral Analysis of Markov Processes
Language: en
Pages: 348
Authors: Manuel Domínguez de la Iglesia
Categories: Mathematics
Type: BOOK - Published: 2021-10-21 - Publisher: Cambridge University Press

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In pioneering work in the 1950s, S. Karlin and J. McGregor showed that probabilistic aspects of certain Markov processes can be studied by analyzing orthogonal