Results 51 to 60 of about 1,452,959 (130)
Modular identities for the Rogers-Ramanujan functions and analogues [PDF]
, 2010 Item marked as restricted to the 'UIUC Users [automated]' Group (id=2) by William Ingram (wingram2@illinois.edu) on 2011-01-21T22:47:37Z Item is restricted until 2013-01-21T22:47:37Z"In his notebooks, Ramanujan recorded 40 beautiful modular relations for
Gugg, Chadwick
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Two Complementary Relations for the Rogers-Ramanujan Continued Fraction
, 2021 See the abstract in the attached pdf.
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Continued fraction proofs of m-versions of some identities of Rogers–Ramanujan–Slater type [PDF]
, 2010 We derive two general transformations for certain basic hypergeometric series from the recurrence formulae for the partial numerators and denominators of two q-continued fractions previously investigated by the authors.
Nancy J. Wyshinski +5 more
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A Continued fraction of Ramanujan and some Ramanujan-Weber class invariants
, 2017 On Page 36 of his “lost” notebook, Ramanujan recorded four q-series representations of the famous Rogers-Ramanujan continued fraction. In this paper, we establish two q-series representations of Ramanujan’s continued fraction found in his “lost” notebook.
Adiga, Chandrashekar +3 more
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The Rogers-Ramanujan Continued Fraction
, 2013 [[abstract]]A survey of many theorems on the Rogers–Ramanujan continued fraction is provided.
Berndt, Bruce C. ; Chan, Heng-Huat; Huang, Sen-Shan; Kang, Soon-Yi; Sohn, Jaebum; Son, Seung-Hwan
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Certain identities for a continued fraction of Ramanujan.
, 2014 Ramanujan has recorded several continued fractions in his notebooks. In this paper, we establish several identities of a continued fraction of Ramanujan $V(q)$.
Sushan Bairy, K. +2 more
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Sums of Series of Rogers Dilogarithm Functions [PDF]
, 2007 Some sums of series of Rogers dilogarithm functions are established by Abel’s functional ...
Qi, Feng, Hoorfar, Abdolhossein
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On the Ramanujan-Gollinitz-Gordon Continued Fraction
, 2013 [[abstract]]We derive many new identities involving the Ramanujan-Göllnitz-Gordon continued fraction H(q). These include relations between H(q) and H(q n ) , which are established using modular equations of degree n. We also evaluate explicitly H(q) at q
Chan, Heng-Huat; Huang, Sen-Shan
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Some New Values for the Rogers-Ramanujan Continued Fraction
, 2003 In his first and lost notebooks, Ramanujan has recorded several values for the Rogers-Ramanujan continued fraction. B.C. Berndt, H.H. Chan and L.-C. Zhang have established all these values on employing some of Ramanujan's eta-function identities. In this
Vasuki, K. R., Shivashankara, K.
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Note on some continued fractions of the Rogers-Ramanujan type
Duke Mathematical Journal, 1965 The author extends the results of \textit{B. Gordon} [Duke Math. J. 32, 741--748 (1965; Zbl 0178.33404)] to include the more general continued fraction \[ F(a,b,x) = 1 + ax + \frac{abx^2}{1+ax^3 +}\cdots \frac{abx^{2n}}{1+ax^{2n+1}+}\cdots \] It is shown that for \(\vert x ...
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