• Title/Summary/Keyword: Differential superordinations

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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.

DIFFERENTIAL SUBORDINATIONS AND SUPERORDINATIONS FOR GENERALIZED BESSEL FUNCTIONS

  • Al-Kharsani, Huda A.;Baricz, Arpad;Nisar, Kottakkaran S.
    • Bulletin of the Korean Mathematical Society
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    • v.53 no.1
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    • pp.127-138
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    • 2016
  • Differential subordination and superordination preserving properties for univalent functions in the open unit disk with an operator involving generalized Bessel functions are derived. Some particular cases involving trigonometric functions of our main results are also pointed out.

On Sufficient Conditions for Certain Subclass of Analytic Functions Defined by Convolution

  • Sooriyakala, Paramasivam;Marikkannan, Natarajan
    • Kyungpook Mathematical Journal
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    • v.49 no.1
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    • pp.47-55
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    • 2009
  • In the present investigation sufficient conditions are found for certain subclass of normalized analytic functions defined by Hadamard product. Differential sandwich theorems are also obtained. As a special case of this we obtain results involving Ruscheweyh derivative, S$\u{a}$l$\u{a}$gean derivative, Carlson-shaffer operator, Dziok-Srivatsava linear operator, Multiplier transformation.

Classes of Multivalent Functions Defined by Dziok-Srivastava Linear Operator and Multiplier Transformation

  • Kumar, S. Sivaprasad;Taneja, H.C.;Ravichandran, V.
    • Kyungpook Mathematical Journal
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    • v.46 no.1
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    • pp.97-109
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    • 2006
  • In this paper, the authors introduce new classes of p-valent functions defined by Dziok-Srivastava linear operator and the multiplier transformation and study their properties by using certain first order differential subordination and superordination. Also certain inclusion relations are established and an integral transform is discussed.

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ON SANDWICH THEOREMS FOR CERTAIN SUBCLASSES OF ANALYTIC FUNCTIONS INVOLVING CARLSON-SHAFFER OPERATOR

  • Shanmugam, Tirunelveli Nellaiappan;Srikandan, Sivasubramanian;Frasin, Basem Aref;Kavitha, Seetharaman
    • Journal of the Korean Mathematical Society
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    • v.45 no.3
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    • pp.611-620
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    • 2008
  • The purpose of this present paper is to derive some subordination and superordination results involving Carlson-Shaffer operator for certain normalized analytic functions in the open unit disk. Relevant connections of the results, which are presented in the paper, with various known results are also considered.

On a Class of Meromorphic Functions Defined by Certain Linear Operators

  • Kumar, Shanmugam Sivaprasad;Taneja, Harish Chander
    • Kyungpook Mathematical Journal
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    • v.49 no.4
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    • pp.631-646
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    • 2009
  • In the present investigation, we introduce new classes of p-valent meromorphic functions defined by Liu-Srivastava linear operator and the multiplier transform and study their properties by using certain first order differential subordination and superordination.