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Ramanujan’s Lost Notebook

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Cover of 'Ramanujan’s Lost Notebook'

Table of Contents

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    Book Overview
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    Chapter 1 Inroduction
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    Chapter 2 Rogers-Ramanujan Continued Fraction and Its Modular Properties
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    Chapter 3 Explicit Evaluations of the Rogers-Ramanujan Continued Fraction
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    Chapter 4 A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions
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    Chapter 5 The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series
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    Chapter 6 Finite Rogers-Ramanujan Continued Fractions
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    Chapter 7 Other q -continued Fractions
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    Chapter 8 Asymptotic Formulas for Continued Fractions
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    Chapter 9 Ramanujan’s Continued Fraction for ( q 2 ; q 3 ) ∞ /( q ; q 3 ) ∞
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    Chapter 10 The Rogers-Fine Identity
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    Chapter 11 An Empirical Study of the Rogers-Ramanujan Identities
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    Chapter 12 Rogers-Ramanujan-Slater Type Identities
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    Chapter 13 Partial Fractions
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    Chapter 14 Hadamard Products for Two q -Series
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    Chapter 15 Integrals of Theta Functions
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    Chapter 16 Incomplete Elliptic Integrals
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    Chapter 17 Infinite Integrals of q -Products
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    Chapter 18 Modular Equations in Ramanujan’s Lost Notebook
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    Chapter 19 Fragments on Lambert Series
Attention for Chapter 9: Ramanujan’s Continued Fraction for ( q 2 ; q 3 ) ∞ /( q ; q 3 ) ∞
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