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Author: Primitivo B. Acosta Humanez
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 241
ISBN-13: 0821848860
DOWNLOAD EBOOKPresents the 2007-2008 Jairo Charris Seminar in Algebra and Analysis on Differential Algebra, Complex Analysis and Orthogonal Polynomials, which was held at the Universidad Sergio Arboleda in Bogota, Colombia.
Author: Gabor Szeg
Publisher: American Mathematical Soc.
Published: 1939-12-31
Total Pages: 448
ISBN-13: 0821810235
DOWNLOAD EBOOKThe 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.
Author: Charles F. Dunkl
Publisher: Cambridge University Press
Published: 2014-08-21
Total Pages: 439
ISBN-13: 1107071895
DOWNLOAD EBOOKUpdated throughout, this revised edition contains 25% new material covering progress made in the field over the past decade.
Author: Mourad Ismail
Publisher: Cambridge University Press
Published: 2005-11-21
Total Pages: 748
ISBN-13: 9780521782012
DOWNLOAD EBOOKThe first modern treatment of orthogonal polynomials from the viewpoint of special functions is now available in paperback.
Author: Francisco Marcellàn
Publisher: Springer Science & Business Media
Published: 2006-06-19
Total Pages: 432
ISBN-13: 3540310622
DOWNLOAD EBOOKSpecial functions and orthogonal polynomials in particular have been around for centuries. Can you imagine mathematics without trigonometric functions, the exponential function or polynomials? In the twentieth century the emphasis was on special functions satisfying linear differential equations, but this has now been extended to difference equations, partial differential equations and non-linear differential equations. The present set of lecture notes containes seven chapters about the current state of orthogonal polynomials and special functions and gives a view on open problems and future directions. The topics are: computational methods and software for quadrature and approximation, equilibrium problems in logarithmic potential theory, discrete orthogonal polynomials and convergence of Krylov subspace methods in numerical linear algebra, orthogonal rational functions and matrix orthogonal rational functions, orthogonal polynomials in several variables (Jack polynomials) and separation of variables, a classification of finite families of orthogonal polynomials in Askey’s scheme using Leonard pairs, and non-linear special functions associated with the Painlevé equations.
Author: Richard Askey
Publisher: SIAM
Published: 1975-06-01
Total Pages: 115
ISBN-13: 0898710189
DOWNLOAD EBOOKThis volume presents the idea that one studies orthogonal polynomials and special functions to use them to solve problems.
Author: Norske videnskaps-akademi. Research Program on Nonlinear Partial Differential Equations
Publisher: American Mathematical Soc.
Published: 2010-10-01
Total Pages: 402
ISBN-13: 082184976X
DOWNLOAD EBOOKThis volume presents the state of the art in several directions of research conducted by renowned mathematicians who participated in the research program on Nonlinear Partial Differential Equations at the Centre for Advanced Study at the Norwegian Academy of Science and Letters, Oslo, Norway, during the academic year 2008-09. The main theme of the volume is nonlinear partial differential equations that model a wide variety of wave phenomena. Topics discussed include systems of conservation laws, compressible Navier-Stokes equations, Navier-Stokes-Korteweg type systems in models for phase transitions, nonlinear evolution equations, degenerate/mixed type equations in fluid mechanics and differential geometry, nonlinear dispersive wave equations (Korteweg-de Vries, Camassa-Holm type, etc.), and Poisson interface problems and level set formulations.
Author: David Blázquez-Sanz
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 178
ISBN-13: 0821868721
DOWNLOAD EBOOKThe papers collected here discuss topics such as Lie symmetries, equivalence transformations and differential invariants, group theoretical methods in linear equations, and the development of some geometrical methods in theoretical physics. The reader will find new results in symmetries of differential and difference equations, applications in classical and quantum mechanics, two fundamental problems of theoretical mechanics, and the mathematical nature of time in Lagrangian mechanics.
Author: J. P. Gossez
Publisher: American Mathematical Soc.
Published: 2011
Total Pages: 278
ISBN-13: 0821849077
DOWNLOAD EBOOKThis volume contains papers on semi-linear and quasi-linear elliptic equations from the workshop on Nonlinear Elliptic Partial Differential Equations, in honor of Jean-Pierre Gossez's 65th birthday, held September 2-4, 2009 at the Universite Libre de Bruxelles, Belgium. The workshop reflected Gossez's contributions in nonlinear elliptic PDEs and provided an opening to new directions in this very active research area. Presentations covered recent progress in Gossez's favorite topics, namely various problems related to the $p$-Laplacian operator, the antimaximum principle, the Fucik Spectrum, and other related subjects. This volume will be of principle interest to researchers in nonlinear analysis, especially in partial differential equations of elliptic type.
Author: David R. Kohel
Publisher: American Mathematical Soc.
Published: 2010
Total Pages: 178
ISBN-13: 0821849557
DOWNLOAD EBOOKThis volume contains the proceedings of the 12th conference on Arithmetic, Geometry, Cryptography and Coding Theory, held in Marseille, France from March 30 to April 3, 2009, as well as the first Geocrypt conference, held in Pointe-a-Pitre, Guadeloupe from April 27 to May 1, 2009, and the European Science Foundation exploratory workshop on Curves, Coding Theory, and Cryptography, held in Marseille, France from March 25 to 29, 2009. The articles contained in this volume come from three related symposia organized by the group Arithmetique et Theorie de l'Information in Marseille. The topics cover arithmetic properties of curves and higher dimensional varieties with applications to codes and cryptography.
