Certain Subclass of Harmonic Multivalent Functions Defined by New Linear Operator

Authors

  • Raheam A. Al-Saphory Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, IRAQ
  • Abdul Rahman S. Juma Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, IRAQ
  • Ai H. Maran Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, IRAQ

DOI:

https://doi.org/10.31185/wjps.422

Keywords:

Harmonic function, multivalent function, extreme points, convex linear combinations.

Abstract

The main goal of the present paper is to introduce a new class of harmonic multivalent functions defined by a new linear operator in the open unit disc . Thus, some geometric properties have examined, including coefficient inequality, extreme points, convolution conditions, convex linear combinations, and integral transforms for the class . 

Author Biographies

  • Raheam A. Al-Saphory, Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, IRAQ

    Prof Dr Raheam A. Al-Saphory in Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, Iraq

  • Abdul Rahman S. Juma, Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, IRAQ

    Prof Dr in  Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Ramadi, Iraq

  • Ai H. Maran, Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, IRAQ

    Ali H. Maran MSC researcher in  Department of Mathematics, College of Education for Pure Sciences, University of Tikrit, Tikrit, Iraq

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Published

2024-09-30

Issue

Section

Mathematics

How to Cite

A. Al-Saphory, R., Juma, A. R. S. ., & Maran, A. H. (2024). Certain Subclass of Harmonic Multivalent Functions Defined by New Linear Operator. Wasit Journal for Pure Sciences , 3(3), 1-8. https://doi.org/10.31185/wjps.422