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Evaluations of the cubic continued fraction by some theta function identities: Revisited

백대현
한국수학교육학회|2021.02|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제28권 제1호|pp. 27-42|DOI https://doi.org/10.7468/jksmeb.2021.28.1.27

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참고문헌

키워드

modular equationscubic continued fractiontheta function identities.
주제분류수학

초록

In this paper, we exploit some known theta function identities involving two parameters $l_{k,n}$ and $l'_{k,n}$ for the theta function $\psi$ to find about 54 new values of the Ramanujan's cubic continued fraction

Abstract

In this paper, we exploit some known theta function identities involving two parameters $l_{k,n}$ and $l'_{k,n}$ for the theta function $\psi$ to find about 54 new values of the Ramanujan's cubic continued fraction

참고문헌 (14)

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  9. Dae Hyun Paek, "ON EVALUATIONS OF THE CUBIC CONTINUED FRACTION BY MODULAR EQUATIONS OF DEGREE 3", 순수 및 응용수학, 25(1), pp.17~29 (2018), 한국수학교육학회[DOI]
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  14. 이진희, "Evaluations of the cubic continued fraction by some theta function identities", 한국수학논문집, 27(4), pp.1043~1059 (2019), 강원경기수학회

관련 논문AI추천

Evaluations of the cubic continued fraction by some theta function identities백대현, 이진희강원경기수학회 · 한국수학논문집2019 · 제27권 제4호Relations 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 Rogers-Ramanujan continued Fraction by Theta-function Identities Revisited백대현, Jinhee Yi한국수학교육학회 · 이론수학과 교직수학2022 · 제29권 제3호On Evaluations of the Cubic Continued Fraction by Modular Equations of Degree 3 Revisited백대현, 안지원, 이강훈, 이진희한국수학교육학회 · 이론수학과 교직수학2024 · 제31권 제2호Some 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 제2호General Formulas for Explicit Evaluations of Ramanujan’s Cubic Continued FractionK. Sushan Bairy, M. C. Maheshkumar, M. S. Mahadeva Naika경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2009 · 제49권 제3호

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