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Ramanujan's Continued Fraction, a Generalization and Partitions

Bhaskar Srivastava
경북대학교 자연과학대학 수학과|2005.06|Kyungpook Mathematical Journal|제45권 제2호|pp. 273-280

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Abstract

We generalize a continued fraction of Ramanujan by introducing a free parameter. We give the closed form for the continued fraction. We also consider the finite form giving n-th convergent using partition theory.

참고문헌 (6)

  1. "On q-dierence quations for certain well-poised basic hypergeometricseries", oxford, pp.433~447 (1968)
  2. "Some continued fraction formulas", 39, pp.793~799 (1972)
  3. "Partitions and Ramanujan’s continued fraction", 39, pp.789~791 (1972)
  4. "A continued fraction of Ramanujan", 29, pp.80~86 (1980)
  5. "reprinted by Chelsea" (1962), Cambridge University Press 1927
  6. "Further identities of the Rogers-Ramanujan type", pp.147~167 (1952)

관련 논문AI추천

A Note on an Analogous Continued Fraction of RamanujanBhaskar Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2005 · 제45권 제4호Arithmetic of infinite products and Rogers-Ramanujan continued fractions구자경, 김대열, Yilmaz Simsek대한수학회 · 대한수학회논문집2007 · 제22권 제3호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호Certain summation formulas due to Ramanujan and their generalizations최준상, Arjun K. Rathie, Rachana Mathur, Shaloo Malani대한수학회 · 대한수학회보2005 · 제42권 제3호ON THE SERIES EXPANSION OF THE RAMANUJAN'S CONTINUED FRACTION OF ORDER SIXA. Vanitha, C. ADIGA, M. S. Surekha장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2015 · 제18권 제3호Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12B. R. S. Kumar, H. C. Vidya장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제2호

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