• Title/Summary/Keyword: Hadamard product

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SUFFICIENT CONDITIONS FOR UNIVALENCE OF A GENERAL INTEGRAL OPERATOR

  • Selvaraj, Chellian;Karthikeyan, Kadhavoor Ragavan
    • Bulletin of the Korean Mathematical Society
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    • v.46 no.2
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    • pp.367-372
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    • 2009
  • In this paper, univalence of a certain integral operator and some interesting properties involving the integral operators on the classes of complex order are obtained. Relevant connections of the results, which are presented in this paper, with various other known results are also pointed out.

Inclusion and Subordination Properties of Multivalent Analytic Functions Involving Cho-Kwon-Srivastava Operator

  • PATEL, JAGANNATH;SAHOO, ASHOK KUMAR
    • Kyungpook Mathematical Journal
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    • v.55 no.4
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    • pp.1031-1051
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    • 2015
  • The object of the present paper is to derive some inclusion and subordination results for certain classes of multivalent analytic functions in the open unit disk, which are defined in terms of the Cho-Kwon-Srivastava operator. Some interesting corollaries are derived and the relevant connection of the results obtained in this paper with various known results are also pointed out.

Differential Subordination and Superordination Results associated with Srivastava-Attiya Integral Operator

  • Prajapat, Jugal Kishore;Mishra, Ambuj Kumar
    • Kyungpook Mathematical Journal
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    • v.57 no.2
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    • pp.233-244
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    • 2017
  • Differential subordination and superordination results associated with a generalized Hurwitz-Lerch Zeta function in the open unit disk are obtained by investigating appropriate classes of admissible functions. In particular some inequalities for generalized Hurwitz-Lerch Zeta function are obtained.

SOME NEW INTEGRAL MEANS INEQUALITIES AND INCLUSION PROPERTIES FOR A CLASS OF ANALYTIC FUNCTIONS INVOLVING CERTAIN INTEGRAL OPERATORS

  • Raina, R.K.;Bansal, Deepak
    • East Asian mathematical journal
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    • v.24 no.4
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    • pp.347-358
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    • 2008
  • In this paper we investigate integral means inequalities for the integral operators $Q_{\lambda}^{\mu}$ and $P_{\lambda}^{\mu}$ applied to suitably normalized analytic functions. Further, we obtain some neighborhood and inclusion properties for a class of functions $G{\alpha}({\phi}, {\psi})$ (defined below). Several corollaries exhibiting the applications of the main results are considered in the concluding section.

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ON CERTAIN SUBCLASSES OF STARLIKE FUNCTIONS

  • Kwon, Oh-Sang
    • Communications of the Korean Mathematical Society
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    • v.10 no.2
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    • pp.305-315
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    • 1995
  • The class $R_{\gamma-1,p}(A,B,\alpha)$ for $-1 \leq B < A \leq 1,\gamma > (B -1)p+(A_B)(p-\alpha)/1-B$ and $0 \leq \alpha < p$ consisting of p-valently analytic functions in the open unit disc is defined with the help of convolution technique. We study containment property, integral transforms and a sufficient condition for an analytic function to be in $R_{\gamma-1,p}(A,B,\alpha)$.

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CLASS-MAPPING PROPERTIES OF THE HOHLOV OPERATOR

  • Mishra, Akshaya K.;Panigrahi, Trailokya
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.1
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    • pp.51-65
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    • 2011
  • In the present paper sufficient conditions, in terms of hyper-geometric inequalities, are found so that the Hohlov operator preserves a certain subclass of close-to-convex functions (denoted by $R^{\tau}$ (A, B)) and transforms the classes consisting of k-uniformly convex functions, k-starlike functions and univalent starlike functions into $\cal{R}^{\tau}$ (A, B).

Convolution Properties of Certain Class of Multivalent Meromorphic Functions

  • Vijaywargiya, Pramila
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.713-723
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    • 2009
  • The purpose of the present paper is to introduce a new subclass of meromorphic multivalent functions defined by using a linear operator associated with the generalized hypergeometric function. Some properties of this class are established here by using the principle of differential subordination and convolution in geometric function theory.

Certain Subclasses of k-uniformly Functions Involving the Generalized Fractional Differintegral Operator

  • Seoudy, Tamer Mohamed
    • Kyungpook Mathematical Journal
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    • v.58 no.2
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    • pp.243-255
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    • 2018
  • We introduce several k-uniformly subclasses of p-valent functions defined by the generalized fractional differintegral operator and investigate various inclusion relationships for these subclasses. Some interesting applications involving certain classes of integral operators are also considered.

Differential Subordinations and Superordinations of Certain Meromorphic Functions associated with an Integral Operator

  • DARWISH, HANAN ELSAYED;LASHIN, ABD AL-MONEM YOUSOF;SOILEH, SOLIMAN MOHAMMED
    • Kyungpook Mathematical Journal
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    • v.55 no.3
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    • pp.625-639
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    • 2015
  • Differential subordinations and superordinations results are obtained for certain meromorphic functions in the punctured unit disk which are associated with an integral operator. These results are obtained by investigating appropriate classes of a dmissible functions. Sandwich-type results are also obtained.