Some Applications on Subclasses of Analytic Functions Involving Linear Operator

Hameed, Mustafa I.; Ibrahim, Israa

doi:10.1109/iccista.2019.8830665

Cited by 10 publications

(6 citation statements)

References 5 publications

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“…For this class, we discovered both necessary with sufficient condition in respect of coefficients., and used it to get improved findings for some numbers related to the conformal mapping of univalent functions. For the classes 𝑆 * (𝜏) and 𝐶 * (𝜏), Silverman [13,14] established coefficient inequalities, distrtion, and coveing theorems [4][5][6][7][8]. Sharp coefficients and distrtion theorems are found for the classes 𝑆 * (𝜏, 𝜆) and 𝐶 * (𝜏, 𝜆) in this study.…”

Section: Introductionsupporting

confidence: 50%

Some Classes of Univalent Function with Negative Coefficients

Hameed

Shihab

2022

J. Phys.: Conf. Ser.

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The 𝛶 subclasses S*(τ, λ) and C*(τ, λ), as well as the class of analytic and univalent functions of the form h ( w ) = w − ∑ i = 2 ∞ | e i | w i , were studied. Sharp coefficients, distortion, as well as a function expression formula in S*(τ, λ) are determined, as well as expression formulae for functions in C*(τ, λ). In addition, convex linear combination over arithmetic average, the classes S*(τ, λ) and C*(τ, λ) are proved to be closed.

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Section: Introductionsupporting

confidence: 50%

Some Classes of Univalent Function with Negative Coefficients

Hameed

Shihab

2022

J. Phys.: Conf. Ser.

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“…Jahangiri [9], [11] and [12] demonstrated that for harmonic functions of the form (4) The above results are applied in this note to the families and ̅ . For ̅ , we also get extreme points, distortion bounds, convolution conditions, and convex combinations.…”

Section: ∑ ∑mentioning

confidence: 78%

“…We must have when choosing the values of on the positive real axis 9) is not satisfied, the numerator in ( 11) is negative for near enough to 1. As a result, for in the quotient in (11)…”

Section: ∑ [ ]mentioning

confidence: 99%

A New Class of Harmonic Univalent Functions of the Salagean Type

Hameed

Shihab²

2021

Al-Qadisiyah Journal of Pure Science

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“…Furthermore, if the function ℎ is univalent in 𝑈, then we get the following equivalence ℎ(𝑤) ≺ 𝑘(𝑤) is obtained if and only if ℎ(0) = 𝑘(0) and ℎ(𝑈) ⊂ 𝑘(𝑈) , this can be shown in [2][3][4][5][6].…”

Section: Introductionmentioning

confidence: 93%