Special Functions of Mathematical (Geo-)Physics

• Κύριοι συγγραφείς: Freeden, Willi (Συγγραφέας), Gutting, Martin (Συγγραφέας)
• Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
• Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
• Γλώσσα: English
• Έκδοση: Basel : Springer Basel : Imprint: Birkhäuser, 2013.
• Σειρά: Applied and Numerical Harmonic Analysis
• Θέματα: Mathematics.; Geophysics.; Atmospheric sciences.; Harmonic analysis.; Partial differential equations.; Special functions.; Mathematical physics.; Special Functions.; Mathematical Physics.; Geophysics/Geodesy.; Partial Differential Equations.; Abstract Harmonic Analysis.; Atmospheric Sciences.

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...

Πίνακας περιεχομένων:

• 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.