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Subordination Properties for Classes of Analytic Univalent Involving Linear Operator

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In this paper, we use the use the linear operator Zx τ,σ(u, v, y)f(z) and the con cept of the subordination to analyse the general class of all analytic univalent functions application of these properties to special cases.

Abstract

In this paper, we use the use the linear operator Zx τ,σ(u, v, y)f(z) and the con cept of the subordination to analyse the general class of all analytic univalent functions application of these properties to special cases.

참고문헌 (11)

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  6. Y. Komatu, "On analytic prolongation of a family of operators", Mathematica, 32(55), pp.141~145 (1990)
  7. S. S. Miller, "Differential subordinations: theory and applications" (2000), CRC Press
  8. J. Patel, "Certain subclasses of multivalent functions associated with a family of linear operators", Math. Comput. Modelling, 43(3-4), pp.320~338 (2006)
  9. R. K. Raina, "Subordination properties of univalent functions involving a new class of operators", Electron. J. Math. Anal. Appl, 2(1), pp.37~52 (2014)
  10. G. S. Salagean, "Subclasses of univalent functions" (1983), Springer
  11. C. Selvaraj, "Differential subordination and superordination for analytic functions defined using a family of generalized differential operators", An. Stiint. Univ. "Ovidius"Constanta Ser. Mat, 17(1), pp.201~210 (2009)

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