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By using Rafid operator we define the subclass $R_{\mu,p}^\delta(\alpha;A,B)$ and $P_{\mu,p}^\delta(\alpha; A,B)$ of analytic and p-valent functions with negative coefficients we investigate some sharp results including coefficients…

复变函数 · 数学 2019-04-18 A. H. El-Qadeem , S. K. Al-ghazal

In this paper, we define a new subclass of $k$-uniformly starlike functions of order $\gamma,\ (0\leq\gamma<1)$ by using certain generalized $q$-integral operator. We explore geometric interpretation of the functions in this class by…

复变函数 · 数学 2021-01-14 Om Ahuja , Asena Çetinkaya , Naveen Kumar Jain

In the present paper we introduce and studied two subclasses of multivalent functions denoted by $\mathcal{M}^{\lambda}_{p,n}(\gamma;\beta)$ and $\mathcal{N}^{\lambda}_{p,n}(\mu,\eta;\delta)$. Further, by giving specific values of the…

复变函数 · 数学 2013-03-20 Pranay Goswami , Teodor Bulboacă , Sanjay Bansal

In this paper, one new classes of convex functions which is called MT-convex functions are given. We also establish some Hadamard-type inequalities.

经典分析与常微分方程 · 数学 2012-05-25 Mevlut Tunc , Huseyin Yildirim

In this note we investigate the inclusion relationship between the class of strongly starlike functions of order alpha and type beta and the class of strongly convex functions of order alpha and type beta which are subclass of normalized…

复变函数 · 数学 2009-11-24 Ikkei Hotta , Mamoru Nunokawa

This current article aims to study a new subclass of meromorphic functions with positive coefficients by reconstructing a new operator in the punctured open disc. Also, some geometric properties are considered and investigated, such results…

复变函数 · 数学 2024-08-16 Ali H. Maran , Abdul Rahman S. Juma , Raheam A. Al-Saphory

In this paper, a new class of convex functions as a generalization of convexity which is called (h-m)-convex functions and some properties of this class is given. We also prove some Hadamard's type inequalities.

经典分析与常微分方程 · 数学 2011-04-01 M. E. Ozdemir , Ahmet Ocak Akdemir , Erhan Set

In this paper, we introduce the subclass $SHP^{-m}(\alpha,\beta)$ using integral operator and give sufficient coefficient conditions for normalized harmonic univalent function in the subclass $SHP^{-m}(\alpha,\beta)$.These conditions are…

复变函数 · 数学 2022-11-14 G. M. Birajdar , N. D. Sangle

The object of the present paper is to study certain properties and characteristics of the operator $Q_{p,\beta}^{\alpha}$defined on p-valent analytic function by using technique of differential subordination.We also obtained result…

复变函数 · 数学 2017-08-02 Ashok Kumar Sahoo

In the present paper, the new generalized classes of (p,q)-starlike and $(p,q)$-convex functions are introduced by using the (p,q)-derivative operator. Also, the (p,q)-Bernardi integral operator for analytic function is defined in an open…

In this paper, two new classes of convex functions as a generalization of convexity which is called (h-s)_{1,2}-convex functions are given. We also prove some Hadamard-type inequalities and applications to the special means are given.

经典分析与常微分方程 · 数学 2013-04-17 M. Emin Ozdemir , Mevlut Tunc , Ahmet Ocak Akdemir

In this paper we introduce and study two new subclasses \Sigma_{\lambda\mu mp}(\alpha,\beta)$ and $\Sigma^{+}_{\lambda\mu mp}(\alpha,\beta)$ of meromorphically multivalent functions which are defined by means of a new differential operator.…

复变函数 · 数学 2011-03-10 Halit Orhan , Dorina Raducanu , Erhan Deniz

We prove that the Bernardi Integral Operator maps certain classes of bounded starlike functions into the class of convex functions, improving the result of Oros and Oros. We also present a general unified method for investigating various…

复变函数 · 数学 2025-03-21 Johnny E. Brown

The object of the present paper is to introduce and investigate two new general subclasses ${{S}^{*}}C(\alpha ,\beta ;\gamma )$ and $T{{S}^{*}}C(\alpha ,\beta ;\gamma )~~(\alpha, \beta \in [0,1),~\gamma \in [0,1])$ of the analytic…

复变函数 · 数学 2018-02-06 Sercan Topkaya , Nizami Mustafa

In the present study, we consider two subclasses starlike and convex functions, denoted by $\mathcal{S}_{\mathcal{B}}^{*}$ and $\mathcal{C}_{\mathcal{B}}$ respectively, associated with a bean-shaped domain. Further, we estimate certain…

复变函数 · 数学 2024-05-15 S. Sivaprasad Kumar , Neha Verma

In this paper, subordination results are studied for certain subclass of p-valent meromorphic functions in the punctured unit disc having a pole of order p at the origin. The subclass under investigation is defined by using certain new…

复变函数 · 数学 2017-11-28 R. M. El-Ashwah , A. H. Hassan

In this paper, we introduce a subclass of p-valent non-bazilavec functions of order. Some subordination relations and the inequality properties of p-valent functions are discussed. The results presented here generalize and improve some…

复变函数 · 数学 2019-02-27 A. A. Amourah , A. G. Alamoush , M. Darus

In this paper, we establish some new Hadamard type inequalities using elementary well known inequalities for functions whose inequalities absolute values are {\alpha}-, m-, ({\alpha},m)-logarithmically convex.

经典分析与常微分方程 · 数学 2013-01-30 Mevlut Tunc , Ebru Yuksel

In the present paper we introduce and investigate an interesting subclass K_{s}^{(k)}({\gamma},p) of analytic and p-valently close-to-convex functions in the open unit disk U. For functions belonging to this class, we derive several…

复变函数 · 数学 2016-12-28 Serap Bulut

In this study, a subclass of an univalent function with negative coefficients which is defined by a new general Linear operator have been introduced. The sharp results for coefficients estimators, distortion and closure bounds, Hadamard…

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