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Some more relations on Ramanujan's cubic continued fraction and a continued fraction of order 12

B. R. S. Kumar|H. C. Vidya
장전수학회 (Jangjeon Mathematical Society)|2014.04|Advanced Studies in Contemporary Mathematics|제24권 제2호|pp. 191-196

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참고문헌

키워드

Continued fractionstheta functions
주제분류수학

초록

In this paper, we prove some modular relations between continued fraction U(qn) of order 12 for n=2, 3 and 5 and Ramanujan`s cubic continued fraction G(qn) for n = 1, 2 and 3.

Abstract

In this paper, we prove some modular relations between continued fraction U(qn) of order 12 for n=2, 3 and 5 and Ramanujan`s cubic continued fraction G(qn) for n = 1, 2 and 3.

참고문헌 (22)

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  22. E. T. Whittaker, "A Course of Modern Analysis, 4th Edition" (1966), Cambridge University Press

관련 논문AI추천

Relations Between Ramanujan's Cubic Continued Fraction and a Continued Fraction of Order 12 and its EvaluationsB. R. Srivatsa Kumar, H. C. Vidya경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2018 · 제58권 제2호Evaluations of the cubic continued fraction by some theta function identities백대현, 이진희강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Evaluations of the cubic continued fraction by some theta function identities: Revisited백대현한국수학교육학회 · 이론수학과 교직수학2021 · 제28권 제1호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호Ramanujan continued fractions of order eighteen박윤경대한수학회 · 대한수학회지2023 · 제60권 제2호On evaluations of the cubic continued fraction by modular equations of degree 9Dae Hyun Paek, Jinhee Yi한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제3호

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