Special functions of mathematical (geo-)physics
Special functions enable us to formulate a scientific problem by reduction such that a new, more concrete problem can be attacked within a well-structured framework, usually in the context of differential equations. A good understanding of special functions provides the capacity to recognize the cau...
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| Main Authors: | , |
|---|---|
| Format: | Livre papier |
| Language: | Anglais |
| Published: |
Basel ; Heidelberg ; New York [etc.] :
Birkhäuser
cop. 2013.
|
| Series: | Applied and numerical harmonic analysis
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| Subjects: | |
| Autres localisations: | Voir dans le Sudoc |
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