Some transformations and integral representations of horn's functions
Some transformations and integral representations of horn's functions
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喇叭函数的一些变换和积分表示
DOI：
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发表时间：
1987
期刊：
影响因子：
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通讯作者：
S. Kalla
中科院分区：
文献类型：
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作者：
V. Tuan;S. Kalla
Horn给出了二元超几何函数的一般定义。有三十四个这种类型的二元超几何函数。14个功能是完整的，其余20个是汇合病例。这包括四个Appell函数和七个Humbert函数。本文得到了一些变换公式和积分表示，对于Horn函数，利用Gauss超几何函数和库默函数的变换公式，得到了一些新的结果。本文的结果给出了Horn函数在不同区域上解析延拓的新公式，并研究了它们在奇点邻域内的性质。
 Horn gave the general definition of hypergeometric functions of two variables. There are thirty four hypergeometric functions of two variables of this type. Fourteen functions are complete and the remaining twenty are the confluente cases. This includes the four Appell functions and seven Humbert functions. In this work we obtain number of transformation formulae end integral representation; for Horn functions, The transformation formuIae for Gauss' hypergeometric function and Kummer function are used to obtain some new results. The results established here give some new formulae for analytic continuation of Horn function in various domains and to study their behaviour in the neighbourhood of singular points.