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双变量超几何级数的变换与简化公式

Transformation and Reduction Formulae for Bivariate Hypergeometric Series
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摘要 该文利用两个二次变换公式建立了两个一般的双重超几何级数变换公式,由此推导出若干新的类型为F_(1:0;μ)^(1:1;λ)和F_(2:0;μ)^(2:1;λ)的双变量超几何级数的简化公式. Two quadratic transformations are applied to establish two general transformation formulae for double hypergeometric series. Further new reduction formulae for the bivariate hypergeometric series of types F1:0;μ^1:1;λ and F2:0;μ^2:1;λ are given.
出处 《数学物理学报(A辑)》 CSCD 北大核心 2016年第1期150-156,共7页 Acta Mathematica Scientia
基金 国家自然科学基金(11501081 11571062 11501080) 辽宁省教育厅一般项目(L2013506) 辽宁省优秀人才支持计划(LJQ2013124) 中央高校基本科研基金(DC201502050405 DC201502050202 DC201502050406)资助~~
关键词 双变量超几何级数 简化公式 Bivariate Hypergeometric Series Reduction Formulae.
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