The present volume contains the Proceedings of the Seventh Iberoamerican Workshop in Orthogonal Polynomials and Applications (EIBPOA, which stands for Encuentros Iberoamericanos de Polinomios Ortogonales y Aplicaciones, in Spanish), held at the Universidad Carlos III de Madrid, Leganés, Spain, from July 3 to July 6, 2018. These meetings were mainly focused to encourage research in the fields of approximation theory, special functions, orthogonal polynomials and their applications among graduate students as well as young researchers from Latin America, Spain and Portugal. The presentation of the state of the art as well as some recent trends constitute the aim of the lectures delivered in the EIBPOA by worldwide recognized researchers in the above fields. In this volume, several topics on the theory of polynomials orthogonal with respect to different inner products are analyzed, both from an introductory point of view for a wide spectrum of readers without an expertise in the area, as well as the emphasis on their applications in topics as integrable systems, random matrices, numerical methods in differential and partial differential equations, coding theory, and signal theory, among others.
V. Totik, Universality and fine zero spacing on general sets, to appear in Arkiv for Matematik. C. Tracy, H. L. Widom, Universality of the distribution functions of random matrix theory, in Statistical physics on the eve of the 21st ...
Taekyun Kim. Abbreviations The following abbreviations are used in this manuscript: PML Perfectly Matched Layers CFL Courant-Friedrichs-Lewy References 1. 10. 11. 12. 13. 14. 15. 16. 17. 18. 19. 20. 21. 22. Bérenger, J.P. A perfectly ...
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.
... q-special functions and orthogonal polynomials) along the modern trends. Taekyun Kim Editor Some Identities on the Poly-Genocchi Polynomials and Numbers 1 Dmitry ix Preface to “Current Trends in Symmetric Polynomials with Their Applications ...
... Semiclassical Soliton Ensembles for the Focusing Nonlinear Schrödinger Equation, Annals of Mathematics Studies series, volume 154, Princeton University Press, Princeton, 2003. A. B. J. Kuijlaars, “On the finite-gap ansatz in the ...
Orthogonal Polynomials and Their Applications: Proceedings of the Third International Symposium on Orthogonal Polynomials and Their Applications, Erice (Trapani), June...
The IBoMAT-series editor Detlef H. Mache (Bochum) would like to congr- ulate Marcel de Bruin (Delft) and Joz ́ sef Szabados (Budapest) for an excellent editing job of this 4th volume about Trends and Applications in constructive - ...
W. Freeden, Metaharmonic Lattice Point Theory (CRC Press, Taylor & Francis Group, Boca Raton, 2011). W. Freeden, Geomathematics: its role, its aim, and its potential, in Handbook of Geomathematics Vol. 1, 2nd edn., eds.
Serving both as an introduction to the subject and as a reference, this book presents the theory in elegant form and with modern concepts and notation.
For product formulas for q-Racah and Askey-Wilson polynomials see Rahman [1982] and Gasper and Rahman [1989a). 3: ... Some basic hypergeometric orthogonal polynomials that generalize Jacobi polynomials, Mem. Amer. Math. Soc. #319.