Recent advances in orthogonal polynomials, special functions, and their applications : 11th International Symposium on Orthogonal Polynomials, Special Functions, and Their Applications, August 29-September 2, 2011, Universidad Carlos III de Madrid, Leganes, Spain / [electronic resource]
J. Arves�u, G. Lopez Lagomasino, editors.
- Providence, R.I. : American Mathematical Society, c2012.
- 1 online resource (x, 254 p. : ill.)
- Contemporary mathematics, v. 578 0271-4132 (print); 1098-3627 (online); .
Includes bibliographical references and index.
Life and work (so far) of Paco Marcell�an / Asymptotics of $L_p$-norms of Hermite polynomials and R�enyi entropy of Rydberg oscillator states / The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere / Spectral transformations of hermitian linear functionals / Numerical study of higher order analogues of the Tracy-Widom distribution / Comb functions / Orthogonality relations for bivariate Bernstein-Szeg�o measures / Quantum walks and CMV matrices / Discrete beta ensembles based on Gauss type quadratures / Heine, Hilbert, Pad�e, Riemann, and Stieltjes: John Nuttall's work 25 years later / Orthogonal Polynomials and $S$-curves / Fast decreasing and orthogonal polynomials / Manuel Alfaro and Walter Van Assche -- A. I. Aptekarev, J. S. Dehesa, P. S�anchez-Moreno and D. N. Tulyakov -- J. S. Brauchart, D. P. Hardin and E. B. Saff -- M. J. Cantero, L. Moral and L. Vel�azquez -- T. Claeys and S. Olver -- Alexandre Eremenko and Peter Yuditskii -- Jeffrey S. Geronimo, Plamen Iliev and Greg Knese -- F. Alberto Gr�unbaum -- D. S. Lubinsky -- Andrei Mart�inez-Finkelshtein, Evgenii A. Rakhmanov and Sergey P. Suetin -- E. A. Rakhmanov -- Vilmos Totik -- http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11476 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11469 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11483 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11475 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11468 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11472 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11473 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11485 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11470 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11474 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11484 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11471
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821891025 (online)
Functions of complex variables--Congresses.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Moment problems, interpolation problems.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Approximation in the complex domain.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Asymptotic representations in the complex domain.
Special functions (33-XX deals with the properties of functions as functions).
Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Orthogonal functions and polynomials, general theory.
Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.).
Approximations and expansions -- Approximations and expansions -- Approximation by rational functions.
Approximations and expansions -- Approximations and expansions -- Pad�e; approximation.
Approximations and expansions -- Approximations and expansions -- Rate of convergence, degree of approximation.
Approximations and expansions -- Approximations and expansions -- Approximation by other special function classes.
QA331.7 / .I596 2012
515/.9
Includes bibliographical references and index.
Life and work (so far) of Paco Marcell�an / Asymptotics of $L_p$-norms of Hermite polynomials and R�enyi entropy of Rydberg oscillator states / The next-order term for optimal Riesz and logarithmic energy asymptotics on the sphere / Spectral transformations of hermitian linear functionals / Numerical study of higher order analogues of the Tracy-Widom distribution / Comb functions / Orthogonality relations for bivariate Bernstein-Szeg�o measures / Quantum walks and CMV matrices / Discrete beta ensembles based on Gauss type quadratures / Heine, Hilbert, Pad�e, Riemann, and Stieltjes: John Nuttall's work 25 years later / Orthogonal Polynomials and $S$-curves / Fast decreasing and orthogonal polynomials / Manuel Alfaro and Walter Van Assche -- A. I. Aptekarev, J. S. Dehesa, P. S�anchez-Moreno and D. N. Tulyakov -- J. S. Brauchart, D. P. Hardin and E. B. Saff -- M. J. Cantero, L. Moral and L. Vel�azquez -- T. Claeys and S. Olver -- Alexandre Eremenko and Peter Yuditskii -- Jeffrey S. Geronimo, Plamen Iliev and Greg Knese -- F. Alberto Gr�unbaum -- D. S. Lubinsky -- Andrei Mart�inez-Finkelshtein, Evgenii A. Rakhmanov and Sergey P. Suetin -- E. A. Rakhmanov -- Vilmos Totik -- http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11476 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11469 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11483 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11475 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11468 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11472 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11473 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11485 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11470 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11474 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11484 http://www.ams.org/conm/578/ http://dx.doi.org/10.1090/conm/578/11471
Access is restricted to licensed institutions
Electronic reproduction.
Providence, Rhode Island :
American Mathematical Society.
2012
Mode of access : World Wide Web
9780821891025 (online)
Functions of complex variables--Congresses.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Moment problems, interpolation problems.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Approximation in the complex domain.
Functions of a complex variable -- Miscellaneous topics of analysis in the complex domain -- Asymptotic representations in the complex domain.
Special functions (33-XX deals with the properties of functions as functions).
Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Orthogonal functions and polynomials, general theory.
Harmonic analysis on Euclidean spaces -- Nontrigonometric harmonic analysis -- Fourier series in special orthogonal functions (Legendre polynomials, Walsh functions, etc.).
Approximations and expansions -- Approximations and expansions -- Approximation by rational functions.
Approximations and expansions -- Approximations and expansions -- Pad�e; approximation.
Approximations and expansions -- Approximations and expansions -- Rate of convergence, degree of approximation.
Approximations and expansions -- Approximations and expansions -- Approximation by other special function classes.
QA331.7 / .I596 2012
515/.9