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<p>We prove Conjecture 4.1 from (Kheifets, A.: Cauchy Integral Formula for Fuchsian Groups. Complex Anal. Oper. Theory <b>19</b>(4), 71 (2025)) (Theorem <InternalRef RefID="FPar8">2.2</InternalRef> below): a generalization of the Hasumi’s Direct Cauchy Theorem property for the derivatives. This proof substitutes all proofs in (Kheifets, A.: Cauchy Integral Formula for Fuchsian Groups. Complex Anal. Oper. Theory <b>19</b>(4), 71 (2025)).</p>

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Cauchy Integral Formula for Fuchsian Groups. II

  • 期刊论文

  • 发表日期：

    2025年11月24日

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  • Alexander Kheifets

摘要

We prove Conjecture 4.1 from (Kheifets, A.: Cauchy Integral Formula for Fuchsian Groups. Complex Anal. Oper. Theory 19(4), 71 (2025)) (Theorem 2.2 below): a generalization of the Hasumi’s Direct Cauchy Theorem property for the derivatives. This proof substitutes all proofs in (Kheifets, A.: Cauchy Integral Formula for Fuchsian Groups. Complex Anal. Oper. Theory 19(4), 71 (2025)).