Ramanujan's Lost Notebook
Springer-Verlag New York Inc.
978-0-387-25529-3 (ISBN)
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.
Zusatzinfo | XIV, 438 p. |
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Verlagsort | New York, NY |
Sprache | englisch |
Maße | 155 x 235 mm |
Gewicht | 1780 g |
Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
Mathematik / Informatik ► Mathematik ► Geometrie / Topologie | |
Naturwissenschaften ► Physik / Astronomie | |
ISBN-10 | 0-387-25529-X / 038725529X |
ISBN-13 | 978-0-387-25529-3 / 9780387255293 |
Zustand | Neuware |
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