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国家自然科学基金(11171307): 作品数：19被引量：22H指数：3; 导出分析报告; 相关作者：褚玉明王飞谢素英马晓艳周培桂更多>>; 相关机构：浙江理工大学杭州电子科技大学湖南城市学院浙江机电职业技术学院更多>>; 相关期刊：《Science China Mathematics》《Acta Mathematica Scientia》《数学物理学报（A辑）》《应用数学》更多>>; 相关主题：GENERALIZED不等式INEQUALITYINEQUALITIESMONOTONICITY更多>>; 相关领域：理学交通运输工程电子电信自然科学总论更多>>

Generalized Gr?tzsch ring function and generalized elliptic integrals被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2016年第4期458-468,共11页MA Xiao-yan QIU Song-liang TU Guo-yan; Supported by the Zhejiang Provincial Natural Science Foundation of China(LQ17A010010);the National Natural Science Foundation of China(11171307,11671360);the Natural Science Foundation of the Department of Education of Zhejiang Province(Y201328799); Abstract. In this paper, we study the quotient of hypergeometric functions μα （r） in the theory of Ramanujan＇s generalized modular equation for α ∈（0, 1/2]. Several new inequalities are given for this and rela...; 关键词：Gaussian hypergeometric function generalized GrStzsch ring function generalized elliptic func-tion.

广义椭圆积分的单调性和不等式: 《大学数学》2016年第3期77-82,共6页王飞周培桂马晓艳; 国家自然科学基金资助项目(11171307);浙江省教育厅科研项目基金(Y201328799);浙江机电职业技术学院科研项目(A027116026); 文中主要运用单调性L’Hpital法则等分析工具探讨了由广义椭圆积分所定义的组合函数的单调性,及与一些初等函数组合的单调性,并由此获得其精确不等式.同时,推广了广义椭圆积分的相关已知结果,这些结果有助于广义Grtzsch环函数和广义...; 关键词：单调性广义椭圆积分精确不等式模方程

Some properties of the psi function and evaluations of γ被引量：1: 《Applied Mathematics(A Journal of Chinese Universities)》2016年第1期103-111,共9页QIU Song-liang ZHAO Xue; Supported by the National Natural Science Foundation of China(11171307); In this paper, the authors show some monotonicity and concavity of the classical psi function, by which several known results are improved and some new asymptotically sharp estimates are obtained for this function. In...; 关键词：Psi function gamma function MONOTONICITY CONCAVITY INEQUALITY Euler＇s constant.

Grtzsch环函数的几个不等式: 《浙江理工大学学报（自然科学版）》2016年第1期129-132,共4页马晓艳屠国燕; 国家自然科学基金项目(11171307);浙江省教育厅科研项目(Y201328799); 建立了Ramanujan模方程中Grtzsch环函数μ(r)与第二类完全椭圆积分ε(r)及拟共形理论中的Hübner函数m(r)之间的关系,并通过研究μ(r)与某些初等函数及特殊函数组合的单调性,获得了μ(r)的几个不等式,利用这些结果给出了μ(r)+logr的...; 关键词：Gauss超几何函数 Grtzsch环函数 Ramanujan模方程不等式

Ramanujan's cubic transformation and generalized modular equation: 《Science China Mathematics》2015年第11期2387-2404,共18页WANG MiaoKun CHU YuMing SONG YingQing; supported by National Natural Science Foundation of China(Grant Nos.11371125,11171307 and 61374086);Natural Science Foundation of Zhejiang Province(Grant No.LY13A010004);Natural Science Foundation of Hunan Province(Grant No.12C0577);PhD Students Innovation Foundation of Hunan Province(Grant No.CX2012B153); We study the quotient of hypergeometric functions in the theory of Ramanujan＇s generalized modular equation for a ∈ （0, 1/2], and find an infinite product for- mula for μ1/3（r） by use of the properties of μ＊a...; 关键词：Gaussian hypergeometric function Ramanujan＇s cubic transformation generalized modular equa-tion infinite product modular function

Inequalities for the Gaussian hypergeometric function被引量：1: 《Science China Mathematics》2014年第11期2369-2380,共12页SONG YingQing ZHOU PeiGui CHU YuMing; supported by National Natural Science Foundation of China(Grant Nos.11371125,11171307 and 61374086);Natural Science Foundation of the Hunan Province(Grant No.14JJ2127);Natural Science Foundation of the Zhejiang Province(Grant No.LY13A010004); we study the monotonicity of certain combinations of the Gaussian hypergeometric functions F(-1/2,1/2;1;1- xc) and F(-1/2- δ,1/2 + δ;1;1- xd) on(0,1) for given 0 < c 5d/6 < ∞ andδ∈(-1/2,1/2),and find the largest ...; 关键词：Gaussian hypergeometric function MONOTONICITY INEQUALITY

Γ-函数的几个性质及其应用被引量：2: 《浙江理工大学学报（自然科学版）》2014年第5期576-579,共4页王飞周培桂马晓艳; 国家自然科学基金资助项目(11171307);浙江省教育厅科研项目基金(Y201328799);浙江机电职业技术学院科研项目(A027114018); 运用单调性lHospital法则获得了Γ-函数的一些单调性质,根据这些性质主要获得运用几何凸性准则解决了Γ-函数的一个猜测,利用等价转化方法改进了拟共形映射中常数Bn的精确估计。; 关键词：精确估计 Γ-函数单调性拟共形映射几何凸性

各向异性的椭圆方程障碍问题弱解的局部正则性(英文)被引量：1: 《应用数学》2014年第3期596-602,共7页谢素英廖敏; Supported in part by the NSFC of China(11171307); 本文在适当的假设下研究各向异性的非线性椭圆方程-divA(x,Du)=B(x,u,Du),使用各向异性的逆Hlder不等式和Sobolev不等式,得到椭圆方程障碍问题的弱解的局部正则性,推广了A-调和方程-divA(x,Du)=0的相关结果.; 关键词：各向异性障碍问题局部正则性非线性椭圆方程

Sharp power mean bounds for Seiffert mean被引量：4: 《Applied Mathematics(A Journal of Chinese Universities)》2014年第1期101-107,共7页LI Yong-min WANG Miao-kun CHU Yu-ming; Supported by the National Natural Science Foundation of China(61174076,61374086,11171307);the Natural Science Foundation of Zhejiang Province(LY13A010004); In this paper, we find the greatest value p = log 2/（log Tr - log 2） = 1.53.- and the least value q -- 5/3 - 1.66.. such that the double inequality Mp（a,b）〈 T（a,b）〈 Mq（a,b） holds for all a, b 〉 0 with a #...; 关键词：power mean Seiffert mean INEQUALITY

MONOTONICITY AND INEQUALITIES FOR THE GENERALIZED DISTORTION FUNCTION被引量：2: 《Acta Mathematica Scientia》2013年第6期1759-1766,共8页马晓艳褚玉明王飞; supported by the Natural Science Foundation of China(11071069 and 11171307);the Natural Science Foundation of the Department of Education of Zhejiang Province(Y201328799); The authors prove some monotonicity properties of functions involving the generalized Agard distortion function ηg（a,t）, and obtain some inequalities for ηk（a, t） and relative distortion functions.; 关键词：generalized modular equation generalized η-distortion function monotonic-ity inequality

国家自然科学基金(11171307)