• Bulletin of the Korean Mathematical Society
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• v.40 no.3
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• pp.399-410
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• 2003

The purpose of the present paper is to introduce some new subclasses of strongly close-to-convex functions in the open unit disk defined by multiplier transformations and study their properties. Our results include several previous known results as special cases.

• East Asian mathematical journal
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• v.16 no.2
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• pp.225-231
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• 2000

The purpose of the present paper is to introduce a new class $\mathcal{P}_{n,p}(\alpha)$ of analytic functions defined by a multiplier transformation and to investigate some properties for the class $\mathcal{P}_{n,p}(\alpha)$.Furthermore, we consider an integral of functions belonging to the class $\mathcal{P}_{n,p}(\alpha)$.

• East Asian mathematical journal
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• v.27 no.3
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• pp.299-308
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• 2011

The purpose of the present paper is to obtain some subordination and superordination preserving properties involving a certain family of multiplier transformations for meromorphic functions in the open unit disk. The sandwich-type theorems for these linear operators are also considered.

• The Journal of the Korea institute of electronic communication sciences
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• v.10 no.3
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• pp.387-393
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• 2015

In Electronic Commerce and Secret Communication based on ECC over finite field, if the sender and the receiver use different basis of finite fields, then the time of communication should always be delayed. In this paper, we analyze the number of bases-transformations needed for Electronic Signature in Electronic Commerce and Secret Communication based on ECC over finite field between H/W and S/W implementation systems and introduce the anomalous basis of finite fields using AOP which is efficient for H/W, S/W implementation systems without bases-transformations for Electronic Commerce and Secret Communication. And then we propose a new multiplier based on the anomalous basis of finite fields using AOP which reduces the running time by 25% than that of the multiplier based on finite fields using trinomial with polynomial bases.

• Communications of the Korean Mathematical Society
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• v.32 no.4
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• pp.971-977
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• 2017

For $p{\in}{\mathbb{N}}^{\ast}$ let ${\Sigma}_{p,0}$ denote the class of meromorphic functions of the form $g(z) ={\frac{1}{z^p}}+a_0+a_1z+{\cdots}$, $z{\in}U$. In the present paper we introduce a new subclass of the class ${\Sigma}_{p,0}$, using the subordination and the operator $J^n_{p,{\lambda}}$. This class will be denoted by $B^n_{p,{\lambda}}({\alpha},h)$ and we study some inclusion properties of this subclass.