Preface.- Introduction.- The Rogers–Ramanujan Continued Fraction and Its Modular Properties.- Explicit Evaluations of the Rogers–Ramanujan Continued Fraction.- A Fragment on the Rogers–Ramanujan and Cubic Continued Fractions.- The Rogers–Ramanujan Continued Fraction and Its Connections with Partitions and Lambert Series.- Finite Rogers–Ramanujan Continued Fractions.- Other q-continued Fractions.- Asymptotic Formulas for Continued Fractions.- Ramanujan’s Continued Fraction for (q2; q3)8/(q; q3)8.- The Rogers–Fine Identity.- An Empirical Study of the Rogers–Ramanujan Identities.- Rogers–Ramanujan–Slater Type Identities.- Partial Fractions.- Hadamard Products for Two q-Series.- Integrals of Theta-functions.- Incomplete Elliptic Integrals.- Infinite Integrals of q-Products.- Modular Equations in Ramanujan’s Lost Notebook.- Fragments on Lambert Series.- Location Guide.- Provenance.- References.- Index.

Reviews

hematicians interested in the work of Ramanujan, will delight in studying this book … ." (Andrew V. Sills, Mathematical Reviews, Issue 2005 m)

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