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A Note on Continued Fractions and Mock Theta Functions

Priya Gupta|Pankaj Srivastava
경북대학교 자연과학대학 수학과|2016.03|Kyungpook Mathematical Journal|제56권 제1호|pp. 173-184

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키워드

Basic hypergeometric functionMock theta functionsContinued fraction.
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초록

Mock theta functions are the mostinteresting topic mentioned in Ramanujan's Lost Notebook, due to itsemerging application in the field of Number theory, Quantuminvariants theory and etc. In the present research articles we havemade an attempt to develop continued fractions representation of allthe existing Mock theta functions.

Abstract

Mock theta functions are the mostinteresting topic mentioned in Ramanujan's Lost Notebook, due to itsemerging application in the field of Number theory, Quantuminvariants theory and etc. In the present research articles we havemade an attempt to develop continued fractions representation of allthe existing Mock theta functions.

참고문헌 (39)

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관련 논문AI추천

Special Case on Rogers-Ramanujan Type Continued Fraction IdentityB. N. DHARMENDRA장전수학회 · Proceedings of the Jangjeon Mathematical Society(장전수학회 논문집)2020 · 제23권 제3호Relations 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 제2호Certain identities for a continued fraction of RamanujanK. S. Bairy, M. S. M. Naika, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2014 · 제24권 제1호New identities for ratios of Ramanujan’s theta functionK. Sushan Bairy, M. S. MAHADEVA NAIKA, S. Chandankumar장전수학회 · Advanced Studies in Contemporary Mathematics2017 · 제27권 제1호A Note on Certain Properties of Mock Theta Functions of Order EightAnwar Jahan Wahidi, Pankaj Srivastava경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2014 · 제54권 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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