Applications of Fractional Calculus and Borel Distribution Series for Multivalent Functions on Complex Hilbert Space

  • Abbas Kareem Wanas Department of Mathematics, College of Science, University of Al-Qadisiyah, Diwaniya, Iraq
  • Elumalai Muthiayan Department of Mathematics, St. Joseph’s Institute of Technology, OMR, Chennai, Tamilnadu, India
  • Elham Kareem Wanas College of Engineering, University of Al-Qadisiyah, Diwaniya, Iraq
Keywords: multivalent functions, Borel distribution, fractional calculus, convex, Hilbert space

Abstract

In this paper, we introduce applications of fractional calculus techniques for a family of multivalent analytic functions defined by the Borel distribution on Hilbert space. We derive several interesting properties, including coefficient estimates, extreme points, and convex combinations.

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Published
2024-11-11
How to Cite
Wanas, A. K., Muthiayan, E., & Wanas, E. K. (2024). Applications of Fractional Calculus and Borel Distribution Series for Multivalent Functions on Complex Hilbert Space. Earthline Journal of Mathematical Sciences, 15(1), 11-21. https://doi.org/10.34198/ejms.15125.011021
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Articles