Kyungpook Mathematical Journal

  • 제52권1호
  • /
  • Pages.33-38
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  • 2012
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  • 1225-6951(pISSN)
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  • 0454-8124(eISSN)
경북대학교 자연과학대학 수학과 (Department of Mathematics, Kyungpook National University)
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On a Certain Integral Operator

  • Porwal, Saurabh (Department of Mathematics, U. I. E. T. Campus, C. S. J. M. University) ;
  • Aouf, Muhammed Kamal (Department of Mathematics, Faculty of Science, University of Mansoura)
  • 투고 : 2011.02.09
  • 심사 : 2011.09.23
  • 발행 : 2012.03.23
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초록

The purpose of the present paper is to investigate mapping properties of an integral operator in which we show that the function g defined by $$g(z)=\{\frac{c+{\alpha}}{z^c}{\int}_{o}^{z}t^{c-1}(D^nf)^{\alpha}(t)dt\}^{1/{\alpha}}$$. belongs to the class $S(A,B)$ if $f{\in}S(n,A,B)$.

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참고문헌

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