• Communications of the Korean Mathematical Society
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• v.8 no.1
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• pp.23-32
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• 1993

• Kyungpook Mathematical Journal
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• v.32 no.2
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• pp.183-195
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• 1992

• Journal of the Korean Mathematical Society
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• v.25 no.1
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• pp.53-66
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• 1988

• Kyungpook Mathematical Journal
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• v.32 no.1
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• pp.87-96
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• 1992

• Journal of the Korean Mathematical Society
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• v.53 no.1
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• pp.147-159
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• 2016

In this paper, subordination results of analytic function $f{\in}{\mathcal{A}}_p$ involving linear operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are obtained. By applying the differential subordination method, results are derived under some sufficient subordination conditions. On using some hypergeometric identities, corollaries of the main results are derived. Furthermore, convolution preserving properties for a class of multivalent analytic function associated with the operator ${\mathcal{K}}^{{\delta},{\lambda}}_{c,p}$ are investigated.

• Communications of the Korean Mathematical Society
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• v.9 no.3
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• pp.571-577
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• 1994

• East Asian mathematical journal
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• v.9 no.1
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• pp.83-92
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• 1993

• Korean Journal of Mathematics
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• v.6 no.2
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• pp.183-194
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• 1998

Making use of a certain operator of fractional derivative, a new subclass $L_p({\alpha},{\beta},{\gamma},{\lambda})$) of analytic and p-valent functions is introduced in the present paper. Apart from various coefficient bounds, many interesting and useful properties of this class of functions are given, some of these properties involve, for example, linear combinations and modified Hadamard product of several functions belonging to the class introduced here.

• Kyungpook Mathematical Journal
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• v.34 no.2
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• pp.217-222
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• 1994

• 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.