Papers › Analytic continuations of the Horn H₁ and H₅ functions
Analytic continuations of the Horn H₁ and H₅ functions
Souvik Bera, Tanay Pathak
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The analytic continuations (ACs) of the double variable Horn H₁ and H₅ functions have been derived for the first time using the automated symbolic Mathematica package 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 ROC2.wl. A Mathematica package 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 .
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