Coefficients bounds for certain families of q-holomorphic multivalent functions involving Srivastava-Hadi-Darus operator


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Authors

  • Sarem H. Hadi Department of Mathematics, College of Education for Pure Sciences, University of Basrah, Basrah 61001, Iraq
  • Khalid A. Challab The General Directorate of Education at Diwaniyah, Al-Qadisiyah, Iraq
  • Abdullah Alatawi Department of Scientific and Applied Materials, King Abdullah Air Defence Academy 21944 Taif Mecca, Saudi Arabia
  • Zainab S. Madhi Department of Mathematics, College of Sciences, University of Basrah, Basrah 61001, Iraq
  • Maslina Darus Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Bangi 43600, Selangor Darul Ehsan, Malaysia

Abstract

In this paper, a new family of q-analogue starlike functions is proposed based on multivalent functions and a modified q-Bernardi integral operator. The introduction of quantitative calculus tools is an important step in constructing such families, as it allows the reformulation of the analytical and geometric properties of functions in a more general form, by replacing traditional derivatives and integrals. A number of essential holomorphic properties of the proposed family are analyzed, including the initial coefficient, the distortion and growth theorems, along with the study of extreme values and radius theorems. Finally, the definition of this family is extended to include the neighborhood of point x 

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Published

2026-05-04

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Sarem H. Hadi, Khalid A. Challab, Alatawi, A., Zainab S. Madhi, & Maslina Darus. (2026). Coefficients bounds for certain families of q-holomorphic multivalent functions involving Srivastava-Hadi-Darus operator. Results in Nonlinear Analysis, 9(1), 65–78. Retrieved from https://nonlinear-analysis.com/index.php/pub/article/view/768

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Vol. 9 No. 1 (2026): Volume 9 issue 1 - Current Issue

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