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Special Functions of Mathematical (Geo-)Physics [electronic resource] / by Willi Freeden, Martin Gutting.

Freeden, Willi. (author.). Gutting, Martin. (author.). SpringerLink (Online service) (Added Author).

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ISBN: 9783034805636
Physical Description: XV, 501 p. 37 illus., 15 illus. in color. online resource.
Publisher: Basel : Springer Basel : 2013.

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Subject:

Mathematics.
Physical geography.
Meteorology.
Harmonic analysis.
Differential equations, partial.
Functions, special.
Mathematics.
Special Functions.
Mathematical Physics.
Geophysics/Geodesy.
Partial Differential Equations.
Abstract Harmonic Analysis.
Meteorology/Climatology.

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Table of Contents

	1 Introduction: Geomathematical Motivation
	Part I: Auxiliary Functions
	2 The Gamma Function
	3 Orthogonal Polynomials
	Part II: Spherically Oriented Functions.- 4 Scalar Spherical Harmonics in R 3
	5 Vectorial Spherical Harmonics in R 3
	6 Spherical Harmonics in R q
	7 Classical Bessel Functions
	8 Bessel Functions in R q
	Part III: Periodically Oriented Functions
	9 Lattice Functions in R
	10 Lattice Functions in R q
	11 Concluding Remarks
	References
	Index.

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