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March 14, 2026Доклады Российской академии наук Математика информатика процессы управления / Doklady Mathematics0 citations

Integral Representations for the Argument of the Gamma Function of a Complex Variable

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AKA.B. KostinVSV.B. Sherstyukov

Key Points

  • The research aims to find new analytical representations of the gamma function at various points in the complex plane.
  • Derived integral formulas of two types for the gamma function.
  • Analyzed characteristic examples to illustrate the findings.
  • New integral representations of the gamma function were established.
  • Characteristic examples provide insights into the behavior of these representations in the complex plane.

Abstract

New analytical representations of the argument of the gamma function at points of the complex plane have been found. For this value, integral formulas of two types have been obtained. Characteristic examples are analyzed.

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Cite This Study

Kostin et al. (2025) studied this question.

synapsesocial.com/papers/69b4fc33b39f7826a300cdf2https://doi.org/10.7868/s3034504925040031
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