An application of subclasses of Goodman-Salagean-type harmonic univalent functions involving hypergeometric function

Hameed, Mustafa I.; Shihab, Buthyna N.; Jassim, Kassim A.

doi:10.1063/5.0093392

Cited by 6 publications

(3 citation statements)

References 14 publications

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“…Especially, this area of study has piqued the interest for a number of applied science researchers in a variety of situations. Furthermore, these principles play an important role in determining the exact solution for mathematical modeling, especially in the analysis for physical, chemical, as well as building domains [17][18][19].…”

Section: Introductionmentioning

confidence: 99%

Higher-Order Derivatives of Differential Subordination of Multivalent Functions

Hameed,

Al-Dulaimi,

Joshua

2023

MMEP

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The research into theory for analytic univalent as well as multivalent functions is an ancient subject for mathematics, especially in complex analysis, which has attracted a great number for scholars due to utter elegance of the its geometrical characteristics as well as numerous research opportunities. The study of univalent functions is one of most important areas of complex analysis for only one and many variables. Researchers have been interested in the traditional study of this subject since at least 1907. During this time until now many researchers in the field of complex analysis, including as Euler, Gauss, Riemann, Cauchy, and many others, have developed. Geometric function theory is a combination or interplay of geometry and analysis. The main goal of this article is to investigate the principle for dependence as well as add an additional subset for polyvalent functions with a different operator that is related to derivatives of higher order. As a result, the findings were important in terms of various geometric properties, including coefficient estimation, distortion as well as growth borders, radii for starlikeness, convexity, as well as close-to-convexity.

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Section: Introductionmentioning

confidence: 99%

Higher-Order Derivatives of Differential Subordination of Multivalent Functions

Hameed,

Al-Dulaimi,

Joshua

2023

MMEP

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“…Lewien [7] examined the class ∑ of bi-univalent functions and got a coefficient bound given by |𝑒 2 | ≤ 1.51 for each ℎ ∈ ∑. Following that, the work of Lewien [7], Clonie, and Branan [8] encouraged, we guessing|𝑒 2 | ≤ √2 for all ℎ ∈ ∑.…”

Section: Introductionmentioning

confidence: 99%

Several Subclasses of r-Fold Symmetric Bi-Univalent Functions possess Coefficient Bounds

Hameed

Shihab²

2022

Iraqi Journal of Science

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“…And we denote by ∑ (𝜀) * 𝑘 the class of meromorphically convex functions of 𝜀. The class ∑ * (𝜀) and ∑ (𝜀) were introduced and studied by pommerenke [1], Miller [2], Mogra et al [3], Aouf et al [4,5], El-Ashwah et al [6], Mostafa et al [7] and Venkateswarlu et al [8,9,10].…”

Section: Introductionmentioning

confidence: 99%