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Monotonicity criterion for the quotient of power series with applications

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成果类型:
期刊论文
作者:
Yang, Zhen-Hang;Chu, Yu-Ming*;Wang, Miao-Kun
通讯作者:
Chu, Yu-Ming
作者机构:
[Chu, Yu-Ming; Yang, Zhen-Hang] Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
[Wang, Miao-Kun] Huzhou Univ, Dept Math, Huzhou 813000, Peoples R China.
通讯机构:
[Chu, Yu-Ming] H
Hunan City Univ, Sch Math & Computat Sci, Yiyang 413000, Peoples R China.
语种:
英文
关键词:
Quotient of power series;Piecewise monotonicity;Hypergeometric function;Leaden inequality
期刊:
Journal of Mathematical Analysis and Applications
ISSN:
0022-247X
年:
2015
卷:
428
期:
1
页码:
587-604
基金类别:
National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61374086, 11171307]; Natural Science Foundation of Zhejiang ProvinceNatural Science Foundation of Zhejiang Province [LY13A010004]
机构署名:
本校为第一且通讯机构
院系归属:
理学院
摘要:
In this paper, we present the necessary and sufficient condition for the monotonicity of the quotient of power series. As applications, some gaps and misquotations in certain published articles are pointed out and corrected, and some known results involving the Landen inequalities for zero-balanced hypergeometric functions are Improved. (C)...

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