Ramanujan's lost notebook :
Andrews, George E.
Ramanujan's lost notebook : part 1 by George E. Andrews and Bruce C. Berndt - New York : Springer, ©2005 - xiv, 437 p. ill. ; 24 cm.
The book includes bibliographical references and index
Introduction 1. Rogers-Ramanujan Continued Fraction and Its Modular Properties 2. Explicit Evaluations of the Rogers-Ramanujan Continued Fraction 3. A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions 4. The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series 5. Finite Rogers-Ramanujan Continued Fractions 6. Other q-continued Fractions 7. Asymptotic Formulas for Continued Fractions 8. Ramanujan’s Continued Fraction for (q2;q3)∞/(q;q3)∞ 9. The Rogers-Fine Identity 10. An Empirical Study of the Rogers-Ramanujan Identities 11. Rogers-Ramanujan-Slater Type Identities 12. Partial Fractions 13. Hadamard Products for Two q-Series 14. Integrals of Theta Functions 15. Incomplete Elliptic Integrals 16. Infinite Integrals of q-Products 17. Modular Equations in Ramanujan’s Lost Notebook 18. Fragments on Lambert Series
9781493976256
2018935289
Mathematics
Ramanujan Aiyangar, Srinivasa, 1887-1920
Sequences (Mathematics)
Functions, Special
Geometry, Algebraic
Mathematicians
India
Functions, Theta
515.984 / AND-R
Ramanujan's lost notebook : part 1 by George E. Andrews and Bruce C. Berndt - New York : Springer, ©2005 - xiv, 437 p. ill. ; 24 cm.
The book includes bibliographical references and index
Introduction 1. Rogers-Ramanujan Continued Fraction and Its Modular Properties 2. Explicit Evaluations of the Rogers-Ramanujan Continued Fraction 3. A Fragment on the Rogers-Ramanujan and Cubic Continued Fractions 4. The Rogers-Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series 5. Finite Rogers-Ramanujan Continued Fractions 6. Other q-continued Fractions 7. Asymptotic Formulas for Continued Fractions 8. Ramanujan’s Continued Fraction for (q2;q3)∞/(q;q3)∞ 9. The Rogers-Fine Identity 10. An Empirical Study of the Rogers-Ramanujan Identities 11. Rogers-Ramanujan-Slater Type Identities 12. Partial Fractions 13. Hadamard Products for Two q-Series 14. Integrals of Theta Functions 15. Incomplete Elliptic Integrals 16. Infinite Integrals of q-Products 17. Modular Equations in Ramanujan’s Lost Notebook 18. Fragments on Lambert Series
9781493976256
2018935289
Mathematics
Ramanujan Aiyangar, Srinivasa, 1887-1920
Sequences (Mathematics)
Functions, Special
Geometry, Algebraic
Mathematicians
India
Functions, Theta
515.984 / AND-R