2005

Ramanujan’s Lost Notebook

Part I

Authors:

ISBN: 978-0-387-25529-3 (Print) 978-0-387-28124-7 (Online)

Table of contents (19 chapters)

  1. No Access

    Book Chapter

    Pages 1-8

    Inroduction

  2. No Access

    Book Chapter

    Pages 9-55

    Rogers-Ramanujan Continued Fraction and Its Modular Properties

  3. No Access

    Book Chapter

    Pages 57-84

    Explicit Evaluations of the Rogers-Ramanujan Continued Fraction

  4. No Access

    Book Chapter

    Pages 85-105

    A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions

  5. No Access

    Book Chapter

    Pages 107-123

    The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series

  6. No Access

    Book Chapter

    Pages 125-142

    Finite Rogers-Ramanujan Continued Fractions

  7. No Access

    Book Chapter

    Pages 143-177

    Other q-continued Fractions

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    Book Chapter

    Pages 179-195

    Asymptotic Formulas for Continued Fractions

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    Book Chapter

    Pages 197-222

    Ramanujan’s Continued Fraction for (q 2;q 3)/(q;q 3)

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    Book Chapter

    Pages 223-239

    The Rogers-Fine Identity

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    Book Chapter

    Pages 241-249

    An Empirical Study of the Rogers-Ramanujan Identities

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    Book Chapter

    Pages 251-259

    Rogers-Ramanujan-Slater Type Identities

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    Book Chapter

    Pages 261-284

    Partial Fractions

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    Book Chapter

    Pages 285-308

    Hadamard Products for Two q-Series

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    Book Chapter

    Pages 309-326

    Integrals of Theta Functions

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    Book Chapter

    Pages 327-366

    Incomplete Elliptic Integrals

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    Book Chapter

    Pages 367-371

    Infinite Integrals of q-Products

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    Book Chapter

    Pages 373-393

    Modular Equations in Ramanujan’s Lost Notebook

  19. No Access

    Book Chapter

    Pages 395-408

    Fragments on Lambert Series