GROBNER BASIS AND SINGULAR LOCUS OF LAURICELLA'S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

Nakayama Hiromasa

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GROBNER BASIS AND SINGULAR LOCUS OF LAURICELLA'S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

机译：劳里谢拉超几何组微分方程的格罗伯纳基础和奇异位置

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We derive Grobner bases for the systems of Lauricella's hypergeometric differential equations. By using these Grobner bases, we determine characteristic varieties and singular loci of these systems.

机译：我们推导了Lauricella超几何微分方程系统的Grobner基。通过使用这些Grobner基，我们可以确定这些系统的特征变体和奇异位点。

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来源
《Kyushu journal of mathematics》 |2014年第2期|共10页
作者
Nakayama Hiromasa;
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正文语种 eng
中图分类数学;
关键词
Lauricella's hypergeometric functions; Grobner basis; characteristic variety; singular locus;

机译：Lauricella的超几何函数;Grobner基础;特征多样性;奇异位点;

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专利

1. GROBNER BASIS AND SINGULAR LOCUS OF LAURICELLA'S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS [J] . Nakayama Hiromasa Kyushu journal of mathematics . 2014,第2期

机译：劳里谢拉超几何组微分方程的格罗伯纳基础和奇异位置
2. Solution of Volterra-type integro-differential equations with ageneralized Lauricella confluent hypergeometric function in the kernels [J] . R. K.Saxena, S. L.Kalla International journal of mathematics and mathematical sciences . 2005,第8期

机译：具有泛化Lauricella融合超几何函数的Volterra型积分微分方程的内核求解
3. SOLUTION OF VOLTERRA-TYPE INTEGRO-DIFFERENTIAL EQUATIONS WITH A GENERALIZED LAURICELLA CONFLUENT HYPERGEOMETRIC FUNCTION IN THE KERNELS [J] . R. K. Saxena, S. L. Kalla International journal of mathematics and mathematical sciences . 2005,第8期

机译：具有广义Lauricella融合超基因组功能的Volterra型积分微分方程的解
4. Invited Talk 3: Grobner Deformations of Hypergeometric Differential Equations [C] . Bernd Sturmfels International Symposium on Symbolic and Algebraic Computation . 1999

机译：邀请的谈话3：超高度差分方程的Grobner变形
5. Hypergeometric solutions of linear differential equations with rational function coefficients. [D] . Kunwar, Vijay Jung. 2014

机译：具有有理函数系数的线性微分方程的超几何解。
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7. Solution of Volterra-type integro-differential equations with a generalized Lauricella confluent hypergeometric function in the kernels [O] . R. K. Saxena, S. L. Kalla 2005

机译：具有α的Volterra型整数微分方程的解内核中广义的Lauricella汇合超几何函数

GROBNER BASIS AND SINGULAR LOCUS OF LAURICELLA'S HYPERGEOMETRIC DIFFERENTIAL EQUATIONS

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