Proceedings from a minisymposium and AMS sessions highlight recent research on hypergeometric and q-series. Articles address challenges in mathematical physics, from integrating the Schrödinger equation and computing gravitational potentials to deri...Lasīt vairāk
Proceedings from a virtual AMS Special Session delve into recent advances in Macdonald polynomials and their intricate combinatorial structures. Discussions span both type A and arbitrary types, unveiling new formulas connected to integrable systems...Lasīt vairāk
This volume contains the proceedings of a minisymposium and two AMS special sessions in three conferences: Minisymposium on All Things Hypergeometric, q-series and Generalizations at the 16th International Symposium on Orthogonal Polynomials, Spec...Lasīt vairāk
This volume contains a collection of papers that focus on recent research in the broad field of special functions. The articles cover topics related to differential equations, dynamic systems, integrable systems, billiards, and random matrix theory...Lasīt vairāk
We describe a method, based on the theory of Macdonald-Koornwinder polynomials, for proving bounded Littlewood identities. Our approach provides an alternative to Macdonalds partial fraction technique and results in the first examples of bounded Li...Lasīt vairāk
This is a collection of graduate-level introductions to five areas of current research interest in orthogonal polynomials and special functions. It derives from the OPSF-S6 Summer School lectures given by international authorities and has been carefu...Lasīt vairāk
Based on the proceedings of a research conference held in Loen, Norway, this title contains information on the analytic theory of continued fractions and their application to moment problems and orthogonal sequences of functions. It considers discret...Lasīt vairāk
This book covers block pulse and related functions for the analysis and identification of continuous and discrete-time systems. It covers functions related to block pulse functions and pulse-width modulated generalized block pulse functions incl...Lasīt vairāk
Optimal control deals with the problem of finding a control law for a given system such that a certain optimality criterion is achieved. An optimal control is a set of differential equations describing the paths of the control variables that minim...Lasīt vairāk
Oulines an array of recent work on the analytic theory and potential applications of continued fractions, linear functionals, orthogonal functions, moment theory, and integral transforms. Describes links between continued fractions. Pade approximati...Lasīt vairāk
Sērija : Cambridge Studies in Advanced Mathematics
(Izdošanas datums: 17-May-2016, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107106987)
This book provides a graduate-level introduction to special functions - a very active area of research and application. Emphasis is given to unifying aspects and to motivation, making it ideal for self-study, while its comprehensive coverage of stand...Lasīt vairāk
Contains the proceedings of the conference Constructive Functions 2014, held in May 2014. The papers in this volume include results on polynomial approximation, rational approximation, Log-optimal configurations on the sphere, random continued fract...Lasīt vairāk
This book introduces a new set of orthogonal hybrid functions (HF) which approximates time functions in a piecewise linear manner which is very suitable for practical applications.The book presents an analysis of different systems namely, t...Lasīt vairāk
Sērija : Encyclopedia of Mathematics and its Applications
(Izdošanas datums: 21-Aug-2014, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9781107071896)
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. It covers the general theory and emphasizes the classical types of orthogonal polynomials whose we...Lasīt vairāk
A selection of 12 papers, most of them plenary talks, present new results and methods, recent developments, current trends, and open problems regarding orthogonal polynomiala, special functions, and their applications. The topics include the next-ord...Lasīt vairāk
This book presents the developments in problems of state estimation and optimal control of continuous-time dynamical systems using orthogonal functions since 1975. It deals with both full and reduced-order state estimation and problems of linear tim...Lasīt vairāk
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The theory of orthogonal expansions had its origin in the debate concerning the vibrating string which animated the mathematical world two hundred years ago. It has since become an important area of modern mathematical thought. This highly re...Lasīt vairāk
(Izdošanas datums: 08-Mar-2012, Hardback, Izdevniecība: Cambridge University Press, ISBN-13: 9780521516884)
A unified treatment of orthogonal transform methods for signal processing, data analysis and communications, this book guides the reader from mathematical theory to problem solving in practice. Numerous practical examples and end-of-chapter problems...Lasīt vairāk