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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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autores principales: Freeden, Willi (Autor), Gutting, Martin (Autor)
Autor Corporativo: SpringerLink (Online service)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
Edición:1st ed. 2013.
Colección:Applied and Numerical Harmonic Analysis,
Temas:
Special functions.
Mathematical physics.
Geophysics.
Differential equations.
Harmonic analysis.
Atmospheric science.
Special Functions.
Mathematical Physics.
Differential Equations.
Abstract Harmonic Analysis.
Atmospheric Science.
Acceso en línea:Texto Completo
Tabla de Contenidos:
  • 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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