An Introduction to Orthogonal Polynomials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook An Introduction to Orthogonal Polynomials write by Theodore S Chihara. This book was released on 2011-02-17. An Introduction to Orthogonal Polynomials available in PDF, EPUB and Kindle. "This concise introduction covers general elementary theory related to orthogonal polynomials and assumes only a first undergraduate course in real analysis. Topics include the representation theorem and distribution functions, continued fractions and chain sequences, the recurrence formula and properties of orthogonal polynomials, special functions, and some specific systems of orthogonal polynomials. 1978 edition"--
Orthogonal Polynomials
Orthogonal Polynomials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orthogonal Polynomials write by Gabor Szeg. This book was released on 1939-12-31. Orthogonal Polynomials available in PDF, EPUB and Kindle. 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 cases were introduced earlier by Legendre, Hermite, Jacobi, Laguerre, and Chebyshev himself. It was further developed by A. A. Markov, T. J. Stieltjes, and many other mathematicians. The book by Szego, originally published in 1939, is the first monograph devoted to the theory of orthogonal polynomials and its applications in many areas, including analysis, differential equations, probability and mathematical physics. Even after all the years that have passed since the book first appeared, and with many other books on the subject published since then, this classic monograph by Szego remains an indispensable resource both as a textbook and as a reference book. It can be recommended to anyone who wants to be acquainted with this central topic of mathematical analysis.
Hypergeometric Orthogonal Polynomials and Their q-Analogues
Hypergeometric Orthogonal Polynomials and Their q-Analogues - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Hypergeometric Orthogonal Polynomials and Their q-Analogues write by Roelof Koekoek. This book was released on 2010-03-18. Hypergeometric Orthogonal Polynomials and Their q-Analogues available in PDF, EPUB and Kindle. The present book is about the Askey scheme and the q-Askey scheme, which are graphically displayed right before chapter 9 and chapter 14, respectively. The fa- lies of orthogonal polynomials in these two schemes generalize the classical orth- onal polynomials (Jacobi, Laguerre and Hermite polynomials) and they have pr- erties similar to them. In fact, they have properties so similar that I am inclined (f- lowing Andrews & Askey [34]) to call all families in the (q-)Askey scheme classical orthogonal polynomials, and to call the Jacobi, Laguerre and Hermite polynomials very classical orthogonal polynomials. These very classical orthogonal polynomials are good friends of mine since - most the beginning of my mathematical career. When I was a fresh PhD student at the Mathematical Centre (now CWI) in Amsterdam, Dick Askey spent a sabbatical there during the academic year 1969–1970. He lectured to us in a very stimulating wayabouthypergeometricfunctionsandclassicalorthogonalpolynomials. Evenb- ter, he gave us problems to solve which might be worth a PhD. He also pointed out to us that there was more than just Jacobi, Laguerre and Hermite polynomials, for instance Hahn polynomials, and that it was one of the merits of the Higher Transc- dental Functions (Bateman project) that it included some newer stuff like the Hahn polynomials (see [198, §10. 23]).
Classical and Quantum Orthogonal Polynomials in One Variable
Classical and Quantum Orthogonal Polynomials in One Variable - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Classical and Quantum Orthogonal Polynomials in One Variable write by Mourad Ismail. This book was released on 2005-11-21. Classical and Quantum Orthogonal Polynomials in One Variable available in PDF, EPUB and Kindle. The first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
Orthogonal Polynomials
Orthogonal Polynomials - read free eBook in online reader or directly download on the web page. Select files or add your book in reader. Download and read online ebook Orthogonal Polynomials write by Mama Foupouagnigni. This book was released on 2020-03-11. Orthogonal Polynomials available in PDF, EPUB and Kindle. This book presents contributions of international and local experts from the African Institute for Mathematical Sciences (AIMS-Cameroon) and also from other local universities in the domain of orthogonal polynomials and applications. The topics addressed range from univariate to multivariate orthogonal polynomials, from multiple orthogonal polynomials and random matrices to orthogonal polynomials and Painlevé equations. The contributions are based on lectures given at the AIMS-Volkswagen Stiftung Workshop on Introduction of Orthogonal Polynomials and Applications held on October 5–12, 2018 in Douala, Cameroon. This workshop, funded within the framework of the Volkswagen Foundation Initiative "Symposia and Summer Schools", was aimed globally at promoting capacity building in terms of research and training in orthogonal polynomials and applications, discussions and development of new ideas as well as development and enhancement of networking including south-south cooperation.
