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<p>The purpose of this paper is to establish a set of sufficient conditions under which the normalized form of the generalized Hurwitz–Lerch Zeta functions possesses certain geometric properties, including close-to-convexity, univalency, convexity, and starlikeness in the open unit disk. The relevance of the obtained results with some known results in the literature is also discussed.</p>

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Certain geometric properties of normalized and generalized Hurwitz–Lerch Zeta functions

  • 期刊论文

  • 发表日期：

    2026年6月19日

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  • Arti Meena,
  • Amit Soni,
  • Deepak Bansal

摘要

The purpose of this paper is to establish a set of sufficient conditions under which the normalized form of the generalized Hurwitz–Lerch Zeta functions possesses certain geometric properties, including close-to-convexity, univalency, convexity, and starlikeness in the open unit disk. The relevance of the obtained results with some known results in the literature is also discussed.