A certain Subclass of Meromorphically Multivalent Q-Starlike Functions Involving Higher-Order Q-Derivatives

Authors

  • Mustafa I. Hameed Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
  • Muna H. Ali Department of Mathematics, College of Education for Pure Sciences, University of Anbar, Anbar, Iraq
  • Buthyna Najad Shihab University of Baghdad, College of Education for Pure Sciences, Ibn Al-Haitham, Department of Mathematics, Baghdad, Iraq

DOI:

https://doi.org/10.24996/ijs.2022.63.1.26

Keywords:

Multivalent functions, Meromorphically starlike functions, q-derivative(or q-difference) operator, Distortion theorems, Radius of q-starlikeness, close-to-convexity, convexity, Hadamard product

Abstract

          The authors introduced and addressed  several new subclasses  of the family of meromorphically multivalent -star-like functions in the punctured unit disk  in this study, which makes use of several higher order -derivatives. Many fascinating properties and characteristics are extracted systematically for each of these newly identified function classes. Distortion theorems and radius problems are among these characteristics and functions. A number of coefficient inequalities for functions belonging to the subclasses are studied, and discussed, as well as a suitable condition for them is set. The numerous results are presented in this study and the previous works on this subject are also connected together in this study.

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Published

2022-01-30

Issue

Section

Mathematics

How to Cite

A certain Subclass of Meromorphically Multivalent Q-Starlike Functions Involving Higher-Order Q-Derivatives. (2022). Iraqi Journal of Science, 63(1), 251-258. https://doi.org/10.24996/ijs.2022.63.1.26
Crossref
3
Scopus
11
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Mustafa I. Hameed, Shaheed Jameel Al-Dulaimi, Hussaini Joshua, Ismael I. Hameed, Israa A. Ibrahim, Kayode Oshinubi, Teodor Bulboaca (2024)
Applications of Subordination for Holomorphic Functions Stated by Generalized By‐Product Operator. International Journal of Mathematics and Mathematical Sciences, 2024(1).
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Hamaad S.J. (2025-01-01)
A Class of Meromorphic Multivalent Functions with Positive Coefficients Defined by Struve Function. Iraqi Journal of Science, 66(3), 1176-1185.
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Hameed M.I. (2025-01-01)
Investigation of Differential Subordination with the Use of the Generalized Hypergeometric Function. Iraqi Journal of Science, 66(3), 1147-1155.
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Sabri M.A. (2025-01-01)
New Differential Subordination and Superordination Results for a subclass of Meromorphic Univalent Functions Defined by a New Operator. Iraqi Journal of Science, 66(2), 659-668.
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Hameed M.I. (2024-06-01)
Novel classes of bi-univalent functions of the Sălăgean type with a modified sigmoid unit action function. Journal of Interdisciplinary Mathematics, 27(4), 807-814.
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Hameed M.I. (2024-01-01)
Some Outcomes Involving a Specific Class of Functions over Differential Subordination and Superordination. Baghdad Science Journal, 21(12), 3797-3806.
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Hameed I.I. (2023-12-04)
Subordination properties of analytic function defined by new linear operator. Aip Conference Proceedings, 2834(1).
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Hameed M.I. (2023-12-04)
Subordination and superordination of analytic functions described by new operator. Aip Conference Proceedings, 2834(1).
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Hameed M.I. (2023-10-01)
Higher-Order Derivatives of Differential Subordination of Multivalent Functions. Mathematical Modelling of Engineering Problems, 10(5), 1566-1572.
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Hameed I.I. (2022-01-01)
Certain Subclasses of Meromorphic Functions Involving Differential Operator. Iraqi Journal of Science, 63(12), 5425-5437.
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Hameed M.I. (2022-01-01)
Several Subclasses of r-Fold Symmetric Bi-Univalent Functions possess Coefficient Bounds. Iraqi Journal of Science, 63(12), 5438-5446.

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