• Title/Summary/Keyword: superordination

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Sandwich Results for Certain Subclasses of Multivalent Analytic Functions Defined by Srivastava-Attiya Operator

  • Aouf, M.K.;Shamandy, A.;Mostafa, A.O.;Adwan, Eman A.
    • Kyungpook Mathematical Journal
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    • v.52 no.2
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    • pp.209-222
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    • 2012
  • In this paper, we obtain some applications of first order differential subordination and superordination results involving the operator $J_{s,b}^{{\lambda},p}$ for certain normalized p-valent analytic functions associated with that operator.

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.

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.

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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