• Title/Summary/Keyword: Hadamard product (or convolution)

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AN APPLICATION OF CERTAIN LINEAR OPERATOR

  • Aouf, M.K.;Hossen, H.M.;Lashin, A.Y.
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.765-770
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    • 2000
  • The object of the present paper is to give an application of a linear operator $L_p(a, c)$ defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.

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AN APPLICATION OF CERTAIN LINEAR OPERATOR

  • M. K. Aouf;H. M. Hossen;A. Y. Lashin
    • Bulletin of the Korean Mathematical Society
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    • v.37 no.4
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    • pp.764-764
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    • 2000
  • The object of the present paper is to give an application of a linear operator L(sub)p(a, c) defined by means of a Hadamard product (or convolution) to a Miller and Mocanu’s theorem.

Some Inclusion Properties of New Subclass of Starlike and Convex Functions associated with Hohlov Operator

  • Sokol, Janusz;Murugusundaramoorthy, Gangadharan;Kothandabani, Thilagavathi
    • Kyungpook Mathematical Journal
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    • v.56 no.2
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    • pp.597-610
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    • 2016
  • For a sufficiently adequate special case of the Dziok-Srivastava linear operator defined by means of the Hadamard product (or convolution) with Srivastava-Wright convolution operator, the authors investigate several mapping properties involving various subclasses of analytic and univalent functions, $G({\lambda},{\alpha})$ and $M({\lambda},{\alpha})$. Furthermore we discuss some inclusion relations for these subclasses to be in the classes of k-uniformly convex and k-starlike functions.

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.

SUBORDINATION RESULTS FOR CERTAIN CLASSES OF MULTIVALENTLY ANALYTIC FUNCTIONS WITH A CONVOLUTION STRUCTURE

  • Prajapat, J.K.;Raina, R.K.
    • East Asian mathematical journal
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    • v.25 no.2
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    • pp.127-140
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    • 2009
  • In this paper a general class of analytic functions involving a convolution structure is introduced. Among the results investigated are the various results depicting useful properties and characteristics of this function class by employing the techniques of differential subordination. Relevances of the main results with some known results are also mentioned briefly.

On Applications of Differential Subordination to Certain Subclass of Multivalent Functions

  • Aghalary, Rasoul;Wang, Zhi-Gang
    • Kyungpook Mathematical Journal
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    • v.49 no.2
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    • pp.265-281
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    • 2009
  • In the present paper, we introduce and investigate a new subclass of multivalent functions associated with the Cho-Kwon-Srivastava operator $\tau^{\lambda}_p(a,c)$. Such results as inclusion relationships, convolution properties and criteria for starlikeness are proved. Relevant connections of the results presented here with those obtained in earlier works are also pointed out.

A STARLIKENESS CONDITION ASSOCIATED WITH THE RUSCHEWEYH DERIVATIVE

  • Li, Jian-Lin;Srivastava, H.M.
    • East Asian mathematical journal
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    • v.18 no.1
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    • pp.1-13
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    • 2002
  • Some Miller-Mocanu type arguments are used here in order to establish a general starlikeness condition involving the familiar Ruscheweyh derivative. Relevant connections with the various known starlikeness conditions are also indicated. This paper concludes with several remarks and observations in regard especially to the nonsharpness of the main starlike condition presented here.

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FEKETE-SZEGÖ INEQUALITIES FOR A NEW GENERAL SUBCLASS OF ANALYTIC FUNCTIONS INVOLVING THE (p, q)-DERIVATIVE OPERATOR

  • Bulut, Serap
    • Communications of the Korean Mathematical Society
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    • v.37 no.3
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    • pp.723-734
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    • 2022
  • In this work, we introduce a new subclass of analytic functions of complex order involving the (p, q)-derivative operator defined in the open unit disc. For this class, several Fekete-Szegö type coefficient inequalities are derived. We obtain the results of Srivastava et al. [22] as consequences of the main theorem in this study.