A CERTAIN FRACTIONAL DERIVATIVE OPERATOR FOR p-VALENT FUNCTIONS AND NEW CLASS OF ANALYTIC FUNCTIONS WITH NEGATIVE COEFFICIENTS

Amourah, Ala; Yousef, Feras; Al-Hawary, Tariq; Darus, Maslina

doi:10.17654/ms099010075

Cited by 6 publications

(11 citation statements)

References 0 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…We employ techniques similar to these used earlier by Yousef et al [13], Amourah et al ( [14], [15]), AlAmoush and Darus [16] and Al-Hawary et al [13].…”

Section: Special Casesmentioning

confidence: 99%

On a class of p-valent non-Bazilevic functions of order \mu+i\beta

Amourah

Yousef

Al-Hawary

et al. 2016

ijma

Self Cite

View full text Add to dashboard Cite

show abstract

“…We employ techniques similar to these used earlier by Yousef et al [13], Amourah et al ( [14], [15]), AlAmoush and Darus [16] and Al-Hawary et al [13].…”

Section: Special Casesmentioning

confidence: 99%

On a class of p-valent non-Bazilevic functions of order \mu+i\beta

Amourah

Yousef

Al-Hawary

et al. 2016

ijma

Self Cite

View full text Add to dashboard Cite

show abstract

“…In our present paper, we obtain some interesting properties for functions in the class Ω * m (δ, λ, α, β, b). We employ techniques similar to these used earlier by Al-Hawary et al [1], Darus and Faisal [6], and Amourah et al [3,4,5,11].…”

Section: Introductionmentioning

confidence: 99%

Some properties of a class of analytic functions involving a new generalized differential operator

Amourah

Yousef

2019

bspm

Self Cite

View full text Add to dashboard Cite

In the present paper, we introduce a new generalized differentialoperator $A_{\mu,\lambda,\sigma}^{m}(\alpha,\beta)$ defined on the openunit disc $U=\left\{ z\in%%TCIMACRO{\U{2102} }%%BeginExpansion\mathbb{C}:\left\vert z\right\vert <1\right\} $. A novel subclass $\Omega_{m}^{\ast}(\delta,\lambda,\alpha,\beta,b)$ by means of the operator $A_{\mu,\lambda,\sigma}^{m}(\alpha,\beta)$ is also introduced. Coefficient estimates, growth and distortion theorems, closuretheorems, and class preserving integral operators for functions in the class $\Omega_{m}^{\ast}(\delta,\lambda,\alpha,\beta,b)$ are discussed. Furthermore, sufficient conditions for close-to-convexity, starlikeness, and convexity for functions in the class $\Om are obtained

show abstract

“…Further, let S denote the class of all functions f ∈ A which are univalent in U (for details, see [9]; see also some of the recent investigations [3,4,5,21,23]). It is well-known that, if f (z) is an univalent analytic function from a domain D 1 onto a domain D 2 , then the inverse function g(z) defined by…”

Section: Introductionmentioning

confidence: 99%