Prolate Spheroidal Wave Functions of Order Zero

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Author :
Publisher : Springer Science & Business Media
ISBN 13 : 1461482593
Total Pages : 385 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Prolate Spheroidal Wave Functions of Order Zero by : Andrei Osipov

Download or read book Prolate Spheroidal Wave Functions of Order Zero written by Andrei Osipov and published by Springer Science & Business Media. This book was released on 2013-10-12 with total page 385 pages. Available in PDF, EPUB and Kindle. Book excerpt: Prolate Spheroidal Wave Functions (PSWFs) are the eigenfunctions of the bandlimited operator in one dimension. As such, they play an important role in signal processing, Fourier analysis, and approximation theory. While historically the numerical evaluation of PSWFs presented serious difficulties, the developments of the last fifteen years or so made them as computationally tractable as any other class of special functions. As a result, PSWFs have been becoming a popular computational tool. The present book serves as a complete, self-contained resource for both theory and computation. It will be of interest to a wide range of scientists and engineers, from mathematicians interested in PSWFs as an analytical tool to electrical engineers designing filters and antennas.

Spheroidal Wave Functions in Electromagnetic Theory

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Publisher : John Wiley & Sons
ISBN 13 : 047146418X
Total Pages : 315 pages
Book Rating : 4.4/5 (714 download)

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Book Synopsis Spheroidal Wave Functions in Electromagnetic Theory by : Le-Wei Li

Download or read book Spheroidal Wave Functions in Electromagnetic Theory written by Le-Wei Li and published by John Wiley & Sons. This book was released on 2004-04-05 with total page 315 pages. Available in PDF, EPUB and Kindle. Book excerpt: The flagship monograph addressing the spheroidal wave function and its pertinence to computational electromagnetics Spheroidal Wave Functions in Electromagnetic Theory presents in detail the theory of spheroidal wave functions, its applications to the analysis of electromagnetic fields in various spheroidal structures, and provides comprehensive programming codes for those computations. The topics covered in this monograph include: Spheroidal coordinates and wave functions Dyadic Green's functions in spheroidal systems EM scattering by a conducting spheroid EM scattering by a coated dielectric spheroid Spheroid antennas SAR distributions in a spheroidal head model The programming codes and their applications are provided online and are written in Mathematica 3.0 or 4.0. Readers can also develop their own codes according to the theory or routine described in the book to find subsequent solutions of complicated structures. Spheroidal Wave Functions in Electromagnetic Theory is a fundamental reference for scientists, engineers, and graduate students practicing modern computational electromagnetics or applied physics.

Spheroidal Wave Functions

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Publisher : Courier Corporation
ISBN 13 : 0486158519
Total Pages : 268 pages
Book Rating : 4.4/5 (861 download)

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Book Synopsis Spheroidal Wave Functions by : Carson Flammer

Download or read book Spheroidal Wave Functions written by Carson Flammer and published by Courier Corporation. This book was released on 2014-03-05 with total page 268 pages. Available in PDF, EPUB and Kindle. Book excerpt: Intended to facilitate the use and calculation of spheroidal wave functions, this applications-oriented text features a detailed and unified account of the properties of these functions. Addressed to applied mathematicians, mathematical physicists, and mathematical engineers, it presents tables that provide a convenient means for handling wave problems in spheroidal coordinates. Topics include separation of the scalar wave equation in spheroidal coordinates, angle and radial functions, integral representations and relations, and expansions in spherical Bessel function products. Additional subjects include recurrence relations of Whittaker type, asymptotic expansions for large values of c, and vector wave functions. The text concludes with an appendix, references, and tables of numerical values.

Spheroidal Wave Functions

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Publisher : Mit Press
ISBN 13 : 9780262692915
Total Pages : 613 pages
Book Rating : 4.6/5 (929 download)

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Book Synopsis Spheroidal Wave Functions by : Julius Adams Stratton

Download or read book Spheroidal Wave Functions written by Julius Adams Stratton and published by Mit Press. This book was released on 1956 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt: A set of tables of spheroidal wave functions designed to simplify the computation of acoustic and electromagnetic scattering from spheroids. The tables were computed to five-place accuracy on the Whirlwind digital computer, and automatically tabulated. An introduction discusses the mathematical properties of the functions and describes some of their applications.

Practical Design of Ships and Other Floating Structures

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Publisher : Springer Nature
ISBN 13 : 981154624X
Total Pages : 1072 pages
Book Rating : 4.8/5 (115 download)

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Book Synopsis Practical Design of Ships and Other Floating Structures by : Tetsuo Okada

Download or read book Practical Design of Ships and Other Floating Structures written by Tetsuo Okada and published by Springer Nature. This book was released on 2020-10-05 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gathers the peer-reviewed proceedings of the 14th International Symposium, PRADS 2019, held in Yokohama, Japan, in September 2019. It brings together naval architects, engineers, academic researchers and professionals who are involved in ships and other floating structures to share the latest research advances in the field. The contents cover a broad range of topics, including design synthesis for ships and floating systems, production, hydrodynamics, and structures and materials. Reflecting the latest advances, the book will be of interest to researchers and practitioners alike.

Periodic Differential Equations

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Publisher : Elsevier
ISBN 13 : 1483164888
Total Pages : 295 pages
Book Rating : 4.4/5 (831 download)

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Book Synopsis Periodic Differential Equations by : F. M. Arscott

Download or read book Periodic Differential Equations written by F. M. Arscott and published by Elsevier. This book was released on 2014-05-16 with total page 295 pages. Available in PDF, EPUB and Kindle. Book excerpt: Periodic Differential Equations: An Introduction to Mathieu, Lamé, and Allied Functions covers the fundamental problems and techniques of solution of periodic differential equations. This book is composed of 10 chapters that present important equations and the special functions they generate, ranging from Mathieu's equation to the intractable ellipsoidal wave equation. This book starts with a survey of the main problems related to the formation of periodic differential equations. The subsequent chapters deal with the general theory of Mathieu's equation, Mathieu functions of integral order, and the principles of asymptotic expansions. These topics are followed by discussions of the stable and unstable solutions of Mathieu's general equation; general properties and characteristic exponent of Hill's equation; and the general nature and solutions of the spheroidal wave equation. The concluding chapters explore the polynomials, orthogonality properties, and integral relations of Lamé's equation. These chapters also describe the wave functions and solutions of the ellipsoidal wave equation. This book will prove useful to pure and applied mathematicians and functional analysis.

Handbook of Mathematical Functions

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Publisher : Courier Corporation
ISBN 13 : 9780486612720
Total Pages : 1068 pages
Book Rating : 4.6/5 (127 download)

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Book Synopsis Handbook of Mathematical Functions by : Milton Abramowitz

Download or read book Handbook of Mathematical Functions written by Milton Abramowitz and published by Courier Corporation. This book was released on 1965-01-01 with total page 1068 pages. Available in PDF, EPUB and Kindle. Book excerpt: An extensive summary of mathematical functions that occur in physical and engineering problems

Tables of Angular Spheroidal Wave Functions: Prolate, m

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Publisher :
ISBN 13 :
Total Pages : 444 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Tables of Angular Spheroidal Wave Functions: Prolate, m by : Naval Research Laboratory (U.S.)

Download or read book Tables of Angular Spheroidal Wave Functions: Prolate, m written by Naval Research Laboratory (U.S.) and published by . This book was released on 1975 with total page 444 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Radial Spheroidal Wave Functions

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Publisher :
ISBN 13 :
Total Pages : 800 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Tables of Radial Spheroidal Wave Functions by : Naval Research Laboratory (U.S.)

Download or read book Tables of Radial Spheroidal Wave Functions written by Naval Research Laboratory (U.S.) and published by . This book was released on 1970 with total page 800 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Tables of Angular Spheroidal Wave Functions: Oblate, m

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Publisher :
ISBN 13 :
Total Pages : 430 pages
Book Rating : 4.:/5 (3 download)

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Book Synopsis Tables of Angular Spheroidal Wave Functions: Oblate, m by : Arnie Lee Van Buren

Download or read book Tables of Angular Spheroidal Wave Functions: Oblate, m written by Arnie Lee Van Buren and published by . This book was released on 1975 with total page 430 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients

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Publisher :
ISBN 13 :
Total Pages : 613 pages
Book Rating : 4.:/5 (448 download)

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Book Synopsis Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients by : Julius Adams Stratton

Download or read book Spheroidal Wave Functions, Including Tables of Separation Constants and Coefficients written by Julius Adams Stratton and published by . This book was released on 1956 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Spheroidal Wave Functions

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Author :
Publisher : Mit Press
ISBN 13 : 9780262190022
Total Pages : 613 pages
Book Rating : 4.1/5 (9 download)

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Book Synopsis Spheroidal Wave Functions by : Julius Adams Stratton

Download or read book Spheroidal Wave Functions written by Julius Adams Stratton and published by Mit Press. This book was released on 1956 with total page 613 pages. Available in PDF, EPUB and Kindle. Book excerpt:

Computation of Special Functions

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Publisher : Wiley-Interscience
ISBN 13 :
Total Pages : 752 pages
Book Rating : 4.3/5 (91 download)

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Book Synopsis Computation of Special Functions by : Shanjie Zhang

Download or read book Computation of Special Functions written by Shanjie Zhang and published by Wiley-Interscience. This book was released on 1996-07-26 with total page 752 pages. Available in PDF, EPUB and Kindle. Book excerpt: Computation of Special Functions is a valuable book/software package containing more than 100 original computer programs for the computation of most special functions currently in use. These include many functions commonly omitted from available software packages, such as the Bessel and modified Bessel functions, the Mathieu and modified Mathieu functions, parabolic cylinder functions, and various prolate and oblate spheroidal wave functions. Also, unlike most software packages, this book/disk set gives readers the latitude to modify programs according to the special demands of the sophisticated problems they are working on. The authors provide detailed descriptions of the program's algorithms as well as specific information about each program's internal structure.

NIST Handbook of Mathematical Functions Hardback and CD-ROM

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Publisher : Cambridge University Press
ISBN 13 : 0521192250
Total Pages : 968 pages
Book Rating : 4.5/5 (211 download)

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Book Synopsis NIST Handbook of Mathematical Functions Hardback and CD-ROM by : Frank W. J. Olver

Download or read book NIST Handbook of Mathematical Functions Hardback and CD-ROM written by Frank W. J. Olver and published by Cambridge University Press. This book was released on 2010-05-17 with total page 968 pages. Available in PDF, EPUB and Kindle. Book excerpt: The new standard reference on mathematical functions, replacing the classic but outdated handbook from Abramowitz and Stegun. Includes PDF version.

Window Functions and Their Applications in Signal Processing

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Publisher : CRC Press
ISBN 13 : 1466515848
Total Pages : 404 pages
Book Rating : 4.4/5 (665 download)

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Book Synopsis Window Functions and Their Applications in Signal Processing by : K. M. M. Prabhu

Download or read book Window Functions and Their Applications in Signal Processing written by K. M. M. Prabhu and published by CRC Press. This book was released on 2018-09-03 with total page 404 pages. Available in PDF, EPUB and Kindle. Book excerpt: Window functions—otherwise known as weighting functions, tapering functions, or apodization functions—are mathematical functions that are zero-valued outside the chosen interval. They are well established as a vital part of digital signal processing. Window Functions and their Applications in Signal Processing presents an exhaustive and detailed account of window functions and their applications in signal processing, focusing on the areas of digital spectral analysis, design of FIR filters, pulse compression radar, and speech signal processing. Comprehensively reviewing previous research and recent developments, this book: Provides suggestions on how to choose a window function for particular applications Discusses Fourier analysis techniques and pitfalls in the computation of the DFT Introduces window functions in the continuous-time and discrete-time domains Considers two implementation strategies of window functions in the time- and frequency domain Explores well-known applications of window functions in the fields of radar, sonar, biomedical signal analysis, audio processing, and synthetic aperture radar

Special Functions in Physics with MATLAB

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Publisher : Springer Nature
ISBN 13 : 3030642321
Total Pages : 282 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Special Functions in Physics with MATLAB by : Wolfgang Schweizer

Download or read book Special Functions in Physics with MATLAB written by Wolfgang Schweizer and published by Springer Nature. This book was released on 2021-03-25 with total page 282 pages. Available in PDF, EPUB and Kindle. Book excerpt: This handbook focuses on special functions in physics in the real and complex domain. It covers more than 170 different functions with additional numerical hints for efficient computation, which are useful to anyone who needs to program with other programming languages as well. The book comes with MATLAB-based programs for each of these functions and a detailed html-based documentation. Some of the explained functions are: Gamma and Beta functions; Legendre functions, which are linked to quantum mechanics and electrodynamics; Bessel functions; hypergeometric functions, which play an important role in mathematical physics; orthogonal polynomials, which are largely used in computational physics; and Riemann zeta functions, which play an important role, e.g., in quantum chaos or string theory. The book’s primary audience are scientists, professionals working in research areas of industries, and advanced students in physics, applied mathematics, and engineering.

C Mathematical Function Handbook

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Publisher : Computing McGraw-Hill
ISBN 13 : 9780079111586
Total Pages : 757 pages
Book Rating : 4.1/5 (115 download)

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Book Synopsis C Mathematical Function Handbook by : Louis Baker

Download or read book C Mathematical Function Handbook written by Louis Baker and published by Computing McGraw-Hill. This book was released on 1992 with total page 757 pages. Available in PDF, EPUB and Kindle. Book excerpt: C source code, algorithms and applications for a wide range of valuable scientific and engineering mathematical functions. Each function is discussed in detail with algorithms, applications, and key referneces. Includes a separate 3 1/2" disk.