|本期目录/Table of Contents|

[1]马晗茜,裘松良,鲍琪.零平衡超几何函数的几个性质[J].浙江理工大学学报,2019,41-42(自科六):823-828.
　MA Hanxi,QIU Songliang,BAO Qi.Some properties of zerobalanced hypergeometric functions[J].Journal of Zhejiang Sci-Tech University,2019,41-42(自科六):823-828.
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零平衡超几何函数的几个性质()
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浙江理工大学学报[ISSN:1673-3851/CN:33-1338/TS]

卷:
第41-42卷
期数:
2019年自科六期
页码:
823-828
栏目:
出版日期:
2019-10-31

文章信息/Info

Title:
Some properties of zerobalanced hypergeometric functions
文章编号:
1673-3851 (2019) 11-0823-06
作者:
马晗茜; 裘松良; 鲍琪
浙江理工大学理学院，杭州 310018
Author(s):
MA Hanxi;  QIU Songliang;  BAO Qi
School of Sciences, Zhejiang Sci-Tech University, Hangzhou 310018, China
关键词:
零平衡超几何函数; 单调性; 绝对单调性; 不等式
分类号:
O174-6
文献标志码:
A
摘要:
通过研究、揭示由零平衡超几何函数F(a,b;a+b;x)与三角函数等初等函数的适当组合的分析性质，获得了F(a,b;a+b;x)的单调性、绝对单调性和由初等函数给出的上下界等性质，从而将完全椭圆积分的相关已知结果推广到零平衡超几何函数。

参考文献/References:

［1］Owen D B, Abramowitz M, Stegun I A. Handbook of mathematical functions with formulas, graphs, and mathematical tables［J］. Technometrics, 1965, 7(1): 78.
［2］ Anderson G D, Vamanamurthy M K, Vuorinen M. Conformal Invariants, Quasiconformal Maps, and Special Function［M］. Heidelberg: Springer Berlin Heidelberg, 1992: 1-19.
［3］ Anderson G D, Vuorinen M. Conformal Invariants, Inequalities, and Quasiconformal Maps［M］. John Wiley and Sons, 1997:48-73.
［4］ Qiu S L, Vuorinen M. Handbook of Complex Analysis: Special Function in Geometric Function Theory［M］. Landon: Elsevier Besloten Vennootschap, 2005: 621-659.
［5］ Qiu S L, Vuorinen M. Infinite products and normalized quotients of hypergeometric functions［J］. SIAM Journal on Mathematical Analysis, 1999, 30(5): 1057-1075.
［6］ Anderson G D, Vamanamurthy M K, Vuorinen M. Functional inequalities for hypergeometric functions and complete elliptic integrals［J］. SIAM Journal on Mathematical Analysis, 1992, 23(2): 512-524.
［7］ Qiu S L, Vuorinen M. Landen inequalities for hypergeometric functions［J］. Nagoya Mathematical Journal, 1999, 154: 31-56.
［8］ Qiu S L, Vuorinen M. Duplication inequalities for the ratios of hypergeometric functions［J］. Forum Mathematicum, 1999, 12(1): 109-133.
［9］ Anderson G D, Qiu S L, Vamanamurthy M K, Vuorinen M. Generalized elliptic integrals and modular equations［J］. Pacific Journal of Mathematics, 2000, 192(1): 1-37.
［10］ Huang T R, Qiu S L, Ma X Y. Monotonicity properties and inequalities for the generalized elliptic integral of the first kind［J］. Journal of Mathematical Analysis and Applications, 2019, 469(1): 95-116.

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备注/Memo

备注/Memo:
收稿日期：2019-05-21
Published Online：2019-09-02
Fund item：This research is supported by the NSF of P.R. China (Grant No.11771400)
Introduction to the first author：作者简介MA Hanxi (1996-), female, Wenzhou, Zhejiang, postgraduate, research interests: quasiconformal theory, special functions, Ramanujan’s modular equations
Corresponding author：通信作者QIU Songliang, E-mail: sl_qiu@zstu.edu.cn
更新日期/Last Update: 2019-11-25