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On the approximation of some special functions in Ramanujan’s generalized modular equation with signature3 $$^{*}$$ ∗

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成果类型:
期刊论文
作者:
Wang, Miao-Kun;Chu, Hong-Hu;Chu, Yu-Ming
通讯作者:
Yu-Ming Chu
作者机构:
[Wang, Miao-Kun] Huzhou Univ, Dept Math, Huzhou 313000, Peoples R China.
[Chu, Hong-Hu] Hunan Univ, Coll Civil Engn, Changsha 410082, Hunan, Peoples R China.
[Chu, Yu-Ming] Hunan City Univ, Coll Sci, Yiyang 413000, Peoples R China.
通讯机构:
[Yu-Ming Chu] C
College of Science, Hunan City University, Yiyang, China
语种:
英文
关键词:
Gaussian hypergeometric function;Ramanujan's cubic transformation;Ramanujan's generalized modular equation;Generalized Grotzsch ring function
期刊:
RAMANUJAN JOURNAL
ISSN:
1382-4090
年:
2021
卷:
56
期:
1
页码:
1-22
基金类别:
Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [11701176, 61373169, 11901061]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY19A010012]
机构署名:
本校为其他机构
院系归属:
理学院
摘要:
We study several special functions in Ramanujan’s generalized modular equation with signature 3. Some sharp inequalities for these functions, including the estimates for the solution of Ramanujan’s generalized modular equation with signature 3 and triplication inequality for the generalized Grötzsch ring func...

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