Spherical Harmonic
DOWNLOAD
AUDIOBOOK
Download Spherical Harmonic PDF/ePub or read online books in Mobi eBooks. Click Download or Read Online button to get Spherical Harmonic book now. This website allows unlimited access to, at the time of writing, more than 1.5 million titles, including hundreds of thousands of titles in various foreign languages. If the content not found or just blank you must refresh this page
The Theory Of Potential And Spherical Harmonics
DOWNLOAD
AUDIOBOOK
Author : Wolfgang J. Sternberg
language : en
Publisher:
Release Date : 1952
The Theory Of Potential And Spherical Harmonics written by Wolfgang J. Sternberg and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1952 with Harmonic analysis categories.
Spherical Harmonics
DOWNLOAD
AUDIOBOOK
Author : Claus Müller
language : en
Publisher: Springer
Release Date : 2006-11-14
Spherical Harmonics written by Claus Müller and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-14 with Mathematics categories.
Spherical Harmonics In P Dimensions
DOWNLOAD
AUDIOBOOK
Author : Costas Efthimiou
language : en
Publisher: World Scientific
Release Date : 2014-03-07
Spherical Harmonics In P Dimensions written by Costas Efthimiou and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-03-07 with Mathematics categories.
The current book makes several useful topics from the theory of special functions, in particular the theory of spherical harmonics and Legendre polynomials in arbitrary dimensions, available to undergraduates studying physics or mathematics. With this audience in mind, nearly all details of the calculations and proofs are written out, and extensive background material is covered before exploring the main subject matter.
An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them
DOWNLOAD
AUDIOBOOK
Author : Norman M. Ferrers
language : en
Publisher:
Release Date : 1877
An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them written by Norman M. Ferrers and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1877 with categories.
Spherical Harmonics And Approximations On The Unit Sphere An Introduction
DOWNLOAD
AUDIOBOOK
Author : Kendall Atkinson
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-02-17
Spherical Harmonics And Approximations On The Unit Sphere An Introduction written by Kendall Atkinson and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-02-17 with Mathematics categories.
These notes provide an introduction to the theory of spherical harmonics in an arbitrary dimension as well as an overview of classical and recent results on some aspects of the approximation of functions by spherical polynomials and numerical integration over the unit sphere. The notes are intended for graduate students in the mathematical sciences and researchers who are interested in solving problems involving partial differential and integral equations on the unit sphere, especially on the unit sphere in three-dimensional Euclidean space. Some related work for approximation on the unit disk in the plane is also briefly discussed, with results being generalizable to the unit ball in more dimensions.
An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them
DOWNLOAD
AUDIOBOOK
Author : Norman Macleod Ferrers
language : en
Publisher: BoD – Books on Demand
Release Date : 2024-06-26
An Elementary Treatise On Spherical Harmonics And Subjects Connected With Them written by Norman Macleod Ferrers and has been published by BoD – Books on Demand this book supported file pdf, txt, epub, kindle and other format this book has been release on 2024-06-26 with Fiction categories.
Reprint of the original, first published in 1877.
Spherical Harmonics
DOWNLOAD
AUDIOBOOK
Author : Claus Muller
language : en
Publisher:
Release Date : 2014-01-15
Spherical Harmonics written by Claus Muller and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 2014-01-15 with categories.
Spherical Harmonics
DOWNLOAD
AUDIOBOOK
Author : Thomas Murray MacRobert
language : en
Publisher:
Release Date : 1948
Spherical Harmonics written by Thomas Murray MacRobert and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1948 with Harmonic functions categories.
Hyperspherical Harmonics
DOWNLOAD
AUDIOBOOK
Author : John S. Avery
language : en
Publisher: Springer Science & Business Media
Release Date : 2012-12-06
Hyperspherical Harmonics written by John S. Avery and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012-12-06 with Science categories.
where d 3 3)2 ( L x - -- i3x j3x j i i>j Thus the Gegenbauer polynomials play a role in the theory of hyper spherical harmonics which is analogous to the role played by Legendre polynomials in the familiar theory of 3-dimensional spherical harmonics; and when d = 3, the Gegenbauer polynomials reduce to Legendre polynomials. The familiar sum rule, in 'lrlhich a sum of spherical harmonics is expressed as a Legendre polynomial, also has a d-dimensional generalization, in which a sum of hyper spherical harmonics is expressed as a Gegenbauer polynomial (equation (3-27»: The hyper spherical harmonics which appear in this sum rule are eigenfunctions of the generalized angular monentum 2 operator A , chosen in such a way as to fulfil the orthonormality relation: VIe are all familiar with the fact that a plane wave can be expanded in terms of spherical Bessel functions and either Legendre polynomials or spherical harmonics in a 3-dimensional space. Similarly, one finds that a d-dimensional plane wave can be expanded in terms of HYPERSPHERICAL HARMONICS xii "hyperspherical Bessel functions" and either Gegenbauer polynomials or else hyperspherical harmonics (equations ( 4 - 27) and ( 4 - 30) ) : 00 ik·x e = (d-4)!!A~oiA(d+2A-2)j~(kr)C~(~k'~) 00 (d-2)!!I(0) 2: iAj~(kr) 2:Y~ (["2k)Y (["2) A A=O ). l). l)J where I(O) is the total solid angle. This expansion of a d-dimensional plane wave is useful when we wish to calculate Fourier transforms in a d-dimensional space.
An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics
DOWNLOAD
AUDIOBOOK
Author : William Elwood Byerly
language : en
Publisher:
Release Date : 1893
An Elementary Treatise On Fourier S Series And Spherical Cylindrical And Ellipsoidal Harmonics written by William Elwood Byerly and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1893 with Fourier series categories.
