Special Functions of Mathematical (Geo-)Physics

Authors:

ISBN: 978-3-0348-0562-9 (Print) 978-3-0348-0563-6 (Online)

Table of contents (11 chapters)

  1. Front Matter

    Pages i-xv

  2. No Access

    Book Chapter

    Pages 1-21

    Introduction: Geomathematical Motivation

  3. Auxiliary Functions

    1. Front Matter

      Pages 23-23

    2. No Access

      Book Chapter

      Pages 25-46

      The Gamma Function

    3. No Access

      Book Chapter

      Pages 47-109

      Orthogonal Polynomials

  4. Spherically Oriented Functions

    1. Front Matter

      Pages 111-111

    2. No Access

      Book Chapter

      Pages 113-210

      Scalar Spherical Harmonics in \(\mathbb{R}^3 \)

    3. No Access

      Book Chapter

      Pages 211-283

      Vectorial Spherical Harmonics in \({\mathbb{R}}^{3}\)

    4. No Access

      Book Chapter

      Pages 285-345

      Spherical Harmonics in \({\mathbb{R}}^{q}\)

    5. No Access

      Book Chapter

      Pages 347-361

      Classical Bessel Functions

    6. No Access

      Book Chapter

      Pages 363-391

      Bessel Functions in \(\mathbb{R}^q\)

  5. Periodically Oriented Functions

    1. Front Matter

      Pages 393-393

    2. No Access

      Book Chapter

      Pages 395-425

      Lattice Functions in \(\mathbb{R}\)

    3. No Access

      Book Chapter

      Pages 427-482

      Lattice Functions in \(\mathbb{R}^q\)

    4. No Access

      Book Chapter

      Pages 483-484

      Concluding Remarks

  6. Back Matter

    Pages 485-501