关于霍恩超几何函数 $H_4$ 的解析扩展

Carpathian Mathematical Publications Pub Date : 2024-03-24 DOI:10.15330/cmp.16.1.32-39

Lutsiv I.-A, ©. Dmytryshyn, Lutsiv R.

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引用次数: 2

摘要

本文建立了具有实参数和复参数的霍恩超几何函数 $H_4$ 的分支续分展开的新收敛域。这些域使 PC 方法能够在所研究的收敛域中建立解析函数对其展开的解析扩展。最后提供几个例子来说明这一点。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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On the analytic extension of the Horn's hypergeometric function $H_4$

The paper establishes new convergence domains of branched continued fraction expansions of Horn's hypergeometric function $H_4$ with real and complex parameters. These domains enabled the PC method to establish the analytical extension of analytical functions to their expansions in the studied domains of convergence. A few examples are provided at the end to illustrate this.

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Carpathian Mathematical Publications

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