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Abstract <p>The aim of this paper is to present a novel work related to a notion of proportional fractional holomorphic function on two complex variables with respect to another function as a structural extension of the classical theory of holomorphic functions on two complex variables. The Stokes and Borel–Pompeiu formulas are given as main results and a number of important consequences, including a Cauchy integral formula and a Cauchy theorem for proportional fractional holomorphic functions of two complex variables with respect to another function.</p>

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On a Proportional Fractional Holomorphic Functions of Two Complex Variables with Respect to Another Function

  • 期刊论文

  • 发表日期：

    2025年1月1日

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  • J. O. González-Cervantes,
  • J. Bory-Reyes,
  • B. Schneider

摘要

Abstract

The aim of this paper is to present a novel work related to a notion of proportional fractional holomorphic function on two complex variables with respect to another function as a structural extension of the classical theory of holomorphic functions on two complex variables. The Stokes and Borel–Pompeiu formulas are given as main results and a number of important consequences, including a Cauchy integral formula and a Cauchy theorem for proportional fractional holomorphic functions of two complex variables with respect to another function.