Hypergeometric Orthogonal Polynomials and Their q-Analogues

Authors:

ISBN: 978-3-642-05013-8 (Print) 978-3-642-05014-5 (Online)

Table of contents (14 chapters)

  1. Front Matter

    Pages I-XIX

  2. No Access

    Book Chapter

    Pages 1-27

    Definitions and Miscellaneous Formulas

  3. No Access

    Book Chapter

    Pages 29-51

    Polynomial Solutions of Eigenvalue Problems

  4. No Access

    Book Chapter

    Pages 53-75

    Orthogonality of the Polynomial Solutions

  5. Classical orthogonal polynomials

    1. Front Matter

      Pages 77-77

    2. No Access

      Book Chapter

      Pages 79-93

      Orthogonal Polynomial Solutions of Differential Equations

    3. No Access

      Book Chapter

      Pages 95-121

      Orthogonal Polynomial Solutions of Real Difference Equations

    4. No Access

      Book Chapter

      Pages 123-139

      Orthogonal Polynomial Solutions of Complex Difference Equations

    5. No Access

      Book Chapter

      Pages 141-170

      Orthogonal Polynomial Solutions in x(x+u) of Real Difference Equations

    6. No Access

      Book Chapter

      Pages 171-181

      Orthogonal Polynomial Solutions in z(z+u) of Complex Difference Equations

    7. No Access

      Book Chapter

      Pages 183-253

      Hypergeometric Orthogonal Polynomials

  6. Classical q-orthogonal polynomials

    1. Front Matter

      Pages 255-255

    2. No Access

      Book Chapter

      Pages 257-322

      Orthogonal Polynomial Solutions of q-Difference Equations

    3. No Access

      Book Chapter

      Pages 323-367

      Orthogonal Polynomial Solutions in q x of q-Difference Equations

    4. No Access

      Book Chapter

      Pages 369-394

      Orthogonal Polynomial Solutions in q x +uq x of Real q-Difference Equations

    5. No Access

      Book Chapter

      Pages 395-411

      Orthogonal Polynomial Solutions in \(\frac{a}{z}+\frac{uz}{a}\) of Complex q-Difference Equations

    6. No Access

      Book Chapter

      Pages 413-552

      Basic Hypergeometric Orthogonal Polynomials

  7. Back Matter

    Pages 553-578