论文标题
Horn $ H_1 $和$ H_5 $功能的分析延续
Analytic continuations of the Horn $H_1$ and $H_5$ functions
论文作者
论文摘要
使用自动符号$ \ textit {Mathematica} $ package $ \ texttt {olsson.wl} $，首次衍生出了双变量角$ H_1 $和$ H_5 $函数的分析连续性（ACS）。 PFAFF-EULER转换的使用已被强调推导AC来覆盖否则不可能的区域。收敛的相应区域（ROC）是使用其伴随软件包$ \ texttt {roc2.wl} $获得的。 a $ \ textit {Mathematica} $ package $ \ texttt {hornh1h5.wl} $，包含所有派生的ACS和相关的ROC，以及https://github.com/souvik5151/hornorn_h1_h1_h1 https：//github.com/souvithub.com/souvithub.com/souply rocs。
The analytic continuations (ACs) of the double variable Horn $H_1$ and $H_5$ functions have been derived for the first time using the automated symbolic $\textit{Mathematica}$ package $\texttt{Olsson.wl}$. The use of Pfaff-Euler transformations have been emphasised to derive AC to cover regions which are otherwise not possible. The corresponding region of convergence (ROC) is obtained using its companion package $\texttt{ROC2.wl}$. A $\textit{Mathematica}$ package $\texttt{HornH1H5.wl}$, containing all the derived ACs and the associated ROCs, along with a demonstration file of the same is made publicly available in https://github.com/souvik5151/Horn_H1_H5 .
