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<p>In this article, we explore and investigate new applications of fractional <i>q</i>-calculus to new subclasses of prestarlike functions. First, we define new subclasses of prestarlike functions using the fundamentals of <i>q</i>-calculus and obtain coefficient estimates, closure properties, and extreme points for functions <i>h</i> belonging to these classes. Using the coefficient estimates together with fractional <i>q</i>-calculus, we derive distortion theorems for functions <i>h</i> in these subclasses of prestarlike analytic functions, which include prestarlike and normalized analytic functions with negative coefficients. We also highlight several established results that demonstrate the connections between the newly introduced subclasses and existing research.</p>

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New Subclasses of Prestarlike Functions Defined by Fractional Quantum-Calculus

  • 期刊论文

  • 发表日期：

    2026年7月27日

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  • Hari M. Srivastava,
  • Shahid Khan,
  • Wasim ul Haq,
  • Ajmal Khan,
  • Fairouz Tchier

摘要

In this article, we explore and investigate new applications of fractional q-calculus to new subclasses of prestarlike functions. First, we define new subclasses of prestarlike functions using the fundamentals of q-calculus and obtain coefficient estimates, closure properties, and extreme points for functions h belonging to these classes. Using the coefficient estimates together with fractional q-calculus, we derive distortion theorems for functions h in these subclasses of prestarlike analytic functions, which include prestarlike and normalized analytic functions with negative coefficients. We also highlight several established results that demonstrate the connections between the newly introduced subclasses and existing research.