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Some results on a special case of a general continued fraction of Ramanujan

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Publication:1743832
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DOI10.1007/s11565-017-0283-1zbMath1390.33033OpenAlexW2613089009MaRDI QIDQ1743832

Chayanika Boruah, Nipen Saikia

Publication date: 16 April 2018

Published in: Annali dell'Università di Ferrara. Sezione VII. Scienze Matematiche (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11565-017-0283-1


zbMATH Keywords

continued fractionmodular equationsexplicit valuesRamanujan's class invariants


Mathematics Subject Classification ID

Basic hypergeometric functions in one variable, ({}_rphi_s) (33D15) Continued fractions (11A55) Continued fractions; complex-analytic aspects (30B70)


Related Items (3)

Some new quartic modular equations in Ramanujan's alternative theory of signature 4 ⋮ On the Ramanujan-type function \(k(q) = \chi (q) \chi (-q^2)\) ⋮ Unnamed Item



Cites Work

  • A parameter for Ramanujan's function \(\chi(q)\): its explicit values and applications
  • Ramanujan's Schläfli-type modular equations and class invariants \(g_n\)
  • Ramanujan’s modular equations and Weber–Ramanujan class invariants G n and g n
  • Ramanujan's Lost Notebook
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