Radius of starlikeness of p-valent λ-fractional operator

Aydoğan, Seher Melike; Sakar, F. Müge

doi:10.1016/j.amc.2018.11.067

Cited by 3 publications

(2 citation statements)

References 3 publications

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“…In 1973, Ruscheweyh and Sheil-Small [21] proved the Polya-Schoenberg conjecture that the class C is preserved under convolution. Several other problems were studied since then, (see [2,3,5,19,20]) and many applications found in various fields.…”

Section: Introductionmentioning

confidence: 99%

Convolution Properties of a Class of Analytic Functions

Noor

Saliu

2023

EJMS

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In this paper, we introduce a new class $\mathcal{R}^{\alpha}_{m}(h)$ of functions $F=f\ast\psi$, defined in the open unit disc $E$ with $F(0)=F^{\prime}(0)-1=0$ and satisfying the condition \begin{equation*} F^{\prime}(z)+\alpha zF^{\prime\prime}(z)=\left(\frac{m}{4}+\frac{1}{2}\right)p_{_{1}}(z)-\left(\frac{m}{4}-\frac{1}{2}\right)p_{_{2}}(z), \end{equation*} for $\alpha\geq0,\,m\geq2$ and $p_{_{i}}\prec h,\, i=1,2.$ Several convolution properties of this class are obtained by using the method of differential subordination. Many relevant connections of the findings here with those in earlier works are pointed out as special cases.

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Section: Introductionmentioning

confidence: 99%

Convolution Properties of a Class of Analytic Functions

Noor

Saliu

2023

EJMS

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“…Akgul [1,2], Miller [8], Pommerenke [9], Royster [10], Aydogan and Sakar [4,5,11] and Venkateswarlu et al [14,15,16] have all studied the class (%) and numerous other subclasses of extensively.…”

Section: Introductionmentioning

confidence: 99%

A new subclass of meromorphic functions defined by Rapid operator

Venkateswarlu¹,

Reddy²,

Sujatha³

et al. 2021

Communications Faculty of Science University of Ankara Series A1Mathematics and Statistics

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Properties of $ \lambda $-pseudo-starlike functions with respect to a boundary point

Cho

Murugusundaramoorthy

Karthikeyan

et al. 2022

MATH

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<abstract><p>The purpose of this present paper is to investigate some mapping properties of functions which map the unit disc onto a overlapped leaf-like curve, having real part greater than zero. Also we define a class of $ \lambda $-pseudo starlike functions related to a leaf-like curve. Integral representation, inequalities for the initial Taylor-Maclaurin coefficients and Fekete-Szegö problem for subclasses of analytic functions related to various conic regions are obtained as our main results.</p></abstract>

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Radius of starlikeness of p-valent λ-fractional operator

Cited by 3 publications

References 3 publications

Convolution Properties of a Class of Analytic Functions

Convolution Properties of a Class of Analytic Functions

A new subclass of meromorphic functions defined by Rapid operator

Properties of $ \lambda $-pseudo-starlike functions with respect to a boundary point

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