• Kyungpook Mathematical Journal
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• 제54권3호
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• pp.453-461
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• 2014

In this paper we derive some results for certain new class of analytic functions defined by using Ruscheweyh derivative with varying arguments.

• 호남수학학술지
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• 제43권3호
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• pp.503-511
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• 2021

In this present work, we obtain certain coefficients of the subclass 𝓗_λ,𝛄(s, b, n) of non-Bazilević functions and estimate the relevant connection to the famous classical Fekete-Szegö inequality of functions belonging to this class.

• 호남수학학술지
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• 제44권4호
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• pp.504-512
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• 2022

The purpose of the present paper is to obtain some sufficient conditions for analytic functions, whose coefficients are probabilities of the Miller-Ross type-Poisson distribution series, to belong to classes 𝓖(λ, 𝛿) and 𝓚(λ, 𝛿).

• Korean Journal of Mathematics
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• 제30권4호
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• pp.629-642
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• 2022

In a recent paper, Sakar and Güney introduced a new class of bi-close-to-convex functions and determined the estimates for the general Taylor-Maclaurin coefficients of functions therein. The main purpose of this note is to give a generalization of this class. Also we point out the proof by Sakar and Güney is incorrect and present a correct proof.

• Journal of applied mathematics & informatics
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• 제41권5호
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• pp.907-921
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• 2023

In this article, we are presenting and examining a subclass of Meromorphic univalent functions as stated by the Bessel function. We get disparities in terms of coefficients, properties of distortion, closure theorems, Hadamard product. Finally, for the class Σ^*(℘, ℓ, ℏ, τ, c), we obtain integral transformations.

• 대한수학회지
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• 제33권3호
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• pp.587-599
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• 1996

We assume throughout the paper that f(z) is a conformal function in the ipen unit disk $D = {z : $\mid$z$\mid$ < 1}$. In the rest of paper, conformal means analytic and locally univalent.

• 대한수학회보
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• 제46권3호
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• pp.439-446
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• 2009

We consider the univalence function classes T, $T_2,\;T_{2,{\mu}}$, and S(p). For these classes we shall study some univalence properties for a general integral operator. Furthermore we shall extend some known univalence criteria, i.e., Becker-type criteria.

• Journal of applied mathematics & informatics
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• 제2권2호
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• pp.83-95
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• 1995

Given a closed subset of the family $S^{*}(\alpha)$ of functions starlike of order $\alpha$, a continuous Frechet differentiable functional J, is constructed with this collection as the solution set to the extremal problem ReJ(f) over $S^{*}(\alpha)$. The support points of $S^{*}(\alpha)$ is completely characterized and shown to coincide with the extreme points of its convex hulls. Given any finite collection of support points of $S^{*}(\alpha)$ a continuous linear functional J, is constructed with this collection as the solution set to the extremal problem ReJ(f) over $S^{*}(\alpha)$.

• Korean Journal of Mathematics
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• 제8권2호
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• pp.127-134
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• 2000

Motivated by recent work of Uralegaddi and Sarangi[12], we aim at presenting here system study of novel subclass $R_{\alpha}[{\mu},{\beta},{\xi}]$ of prestarlike functions. Further using operators of fractional calculus, we have obtained distortion theorem for $R_{\alpha}[{\mu},{\beta},{\xi}]$. Lastly the extreme points of $R_{\alpha}[{\mu},{\beta},{\xi}]$ are obtained.

• 대한수학회보
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• 제46권5호
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• pp.905-915
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• 2009

Making use of a generalized differential operator we introduce some new subclasses of multivalent analytic functions in the open unit disk and investigate their inclusion relationships. Some integral preserving properties of these subclasses are also discussed.