On the Series Expansions of Ramanujan's Continued Fractions

碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this paper, we give combinatorial interpretations of the coefficients in the series expansions of Ramanujan's continued fractions and their reciprocals. We also determine the signs of the coefficients and obtain some interesting identities involving the co...

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Bibliographic Details
Main Authors: Yi-Hung Hsu, 徐一弘
Other Authors: Sen-Shan Huang
Format: Others
Language:en_US
Published: 2011
Online Access:http://ndltd.ncl.edu.tw/handle/91956768032287658630
Description
Summary:碩士 === 國立彰化師範大學 === 數學系所 === 99 === In this paper, we give combinatorial interpretations of the coefficients in the series expansions of Ramanujan's continued fractions and their reciprocals. We also determine the signs of the coefficients and obtain some interesting identities involving the coefficients.