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<p>Main objective of this work is to obtain radii of starlikeness, convexity, <i>k</i>-starlikeness and lemniscate starlikeness of the derivative of reciprocal of gamma function and its Barnes <i>G</i>-analogue. The results obtained in this work are new and their importance is expressed by several interesting consequences, corollaries and graphical representations. Also to illustrate these findings, exact numerical values of the radius of specific geometric properties of the functions are computed directly from the obtained results.</p>

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Geometric Properties of Derivative of Reciprocal of Gamma Function and its Barnes G-analogue

  • 期刊论文

  • 发表日期：

    2026年6月15日

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  • Samanway Sarkar,
  • Sourav Das

摘要

Main objective of this work is to obtain radii of starlikeness, convexity, k-starlikeness and lemniscate starlikeness of the derivative of reciprocal of gamma function and its Barnes G-analogue. The results obtained in this work are new and their importance is expressed by several interesting consequences, corollaries and graphical representations. Also to illustrate these findings, exact numerical values of the radius of specific geometric properties of the functions are computed directly from the obtained results.