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国家自然科学基金(10771093): 作品数：10被引量：10H指数：2; 导出分析报告; 相关作者：张之正杨继真张彩环张颖朱军明更多>>; 相关机构：洛阳师范学院华东师范大学河南师范大学更多>>; 相关期刊：《Chinese Quarterly Journal of Mathematics》《洛阳师范学院学报》《数学通报》《数学学报（中文版）》更多>>; 相关主题：Q基本超几何级数TWOKINDIDENTITIES更多>>; 相关领域：理学更多>>

A Kind of Identities for Products Reciprocals of q-binomial Coefficients被引量：5: 《Chinese Quarterly Journal of Mathematics》2014年第4期573-582,共10页YANG Ji-zhen WANG Yun-peng; Supported by the National Natural Science Foundation of China（10771093）; Supported by the Youth Foundation of Luoyang Normal College（2013-QNJJ-001）; Supported by the Youth Foundation of the Luoyang Institute of Science and Technology（2012QZ05）; The purpose of this paper is to establish some identities with products of qHermite polynomials, q-ultraspherical polynomials and reciprocals of q-binomial coefficients.; 关键词：q-gamma function q-beta function Q-INTEGRAL q-binomial coefficients

Two Kinds of Series Involving the Reciprocals of Binomial Coefficients: 《Chinese Quarterly Journal of Mathematics》2011年第2期306-310,共5页SONG Hai-tao; Supported by the NNSF of China(10771093);Supported by the NSF of Henan Province(0511010300); By applying the theory of formal power series,the author obtains the closed forms for two kinds of infinite series involving the reciprocals of binomial coefficients,and the author gets another closed form for the inf...; 关键词：reciprocals of binomial coefficients formal power series combinatorial identity

n—三角形网格中凸五边形、凸六边形的计数: 《数学通报》2010年第10期43-45,共3页朱军明; 河南省教育厅自然科学基础研究项目(2007110025);国家自然科学基金(10771093)资助; 文献[1]利用数学归纳法给出了n-三角形网格中三边形、四边形的计数公式．本文将通过构造递推关系式给出n-三角形网格中凸五边形、凸六边形的计数公式．为此，先如[1]给出定义．; 关键词：三角形网格计数公式五边形六边形数学归纳法递推关系式三边形四边形

双参数有限q指数算子及其应用被引量：3: 《数学学报（中文版）》2010年第5期1007-1018,共12页张之正杨继真; 国家自然科学基金资助项目(10771093); 本文构造两个双参数有限q指数算子,得到了几个算子恒等式;应用这些算子恒等式到著名的q-Chu-Vandermonde求和恒等式,求导了若干奇异的q-级数恒等式,包含著名的Jackson恒等式的一个推广.; 关键词：q级数 q-指数算子求和公式及变换公式

Some Rogers-Ramanujan-Bailey Type Identities: 《Chinese Quarterly Journal of Mathematics》2010年第3期327-334,共8页ZHANG Zhi-zheng ZHANG Ying; Supported by the National Natural Science Foundation of China（10771093）; By introducing multiparameter generalization of Bailey pair,the purpose of this paper is to find a number of new Rogers-Ramanujan-Bailey type identities.; 关键词：Rogers-Ramanujan identity Bailey pair q-series identity

基本超几何级数的变换公式及Rogers-Amanujan恒等式被引量：1: 《数学学报（中文版）》2010年第3期579-584,共6页张彩环张之正; 国家自然科学基金资助项目(10771093);河南省教育厅自然科学研究计划项目(2008B10013); 本文通过组合反演技巧和级数重组的方法,得到了两个基本超几何级数的变换公式,其中一个的特殊情况包含了著名的Rogers-amanujan恒等式.; 关键词：基本超几何级数反演技巧变换公式

Two Sums for a Class of Recurrence Sequences: 《Chinese Quarterly Journal of Mathematics》2010年第1期60-64,共5页PANG Jin-li YE Xiao-lie; Foundation item： Supported by the National Natural Science Foundation of China（10771093）; A conjecture posed by Melham for Un2k+Un+12k in [2] is considered in this article.Several positive results on Vn+s2k +(-1)k(p2-4)kUn2k and V n2k+(-1)k(p2-4)kUn+s2k are achieved which generalize existed results on V n+...; 关键词：recurrence sequence generating function DIFFERENTIATION

On Some Transformation and Summation Formulae for Bivariate Basic Hypergeometric Series: 《Journal of Mathematical Research and Exposition》2009年第6期1029-1034,共6页张之正胡秋霞; the National Natural Science Foundation of China (No.10771093); the Natural Science Foundation of the Education Department of Henan Province (No.2007110025); The purpose of this paper is to establish several transformation formulae for bivariate basic hypergeometric series by means of series rearrangement technique. From these transformations, some interesting summation fo...; 关键词：basic hypergeometric series Watson＇s q-Whipple transformation series rearrange-ment.

Extended Group of the Subgroup Gr in Linear Group Over the Principal Ideal Ring被引量：1: 《Chinese Quarterly Journal of Mathematics》2008年第4期600-605,共6页WEI Zong-li QU He-mei; Foundation item： Supported by the National Natural Science Foundation of China（10771093）; Suppose R is a principal ideal ring, R^＊ is a multiplicative group which is composed of all reversible elements in R, and Mn（R）, GL（n,R）, SL（n,R） are denoted by,Mn（R）={A=（aij）n×n｜aij∈R,i,j=1,2…,n},GL（...; 关键词：principal ideal ring extended group linear group

由Bailey引理得到的若干q-级数求和公式(英文): 《洛阳师范学院学报》2008年第5期9-13,共5页张颖杨继真; the National Natural Science Foundation of China(10771093); 本文通过Bailey引理给出了基本超几何级数的一些变换公式,这些变换公式推广了Andrews的一些结果。; 关键词：Bailey对 BAILEY引理基本超几何级数.

国家自然科学基金(10771093)