East Asian mathematical journal

  • 제25권1호
  • /
  • Pages.39-44
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  • 2009
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  • 1226-6973(pISSN)
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  • 2287-2833(eISSN)
영남수학회 (The Youngnam Mathematical Society)
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SOME CRITERION FOR CERTAIN MULTIVALENTLY ANALYTIC FUNCTIONS AND MULTIVALENTLY MEROMORPHIC FUNCTIONS

  • Irmak, Huseyin (Department of Mathematics Education Faculty of Education Baskent University) ;
  • Piejko, Krzysztof (Department of Mathematics Rzeszow University of Technology)
  • 투고 : 2008.04.23
  • 심사 : 2008.10.10
  • 발행 : 2009.03.31
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초록

The aim of the present investigation is to give some criterion for certain multivalently analytic functions and (or) multivalently meromorphic functions in the corresponding domains.

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참고문헌

  1. P. L. Duren, Univalent Functions, Grundlehren der Mathematishen Wissenschaften 259, Springer-Verlag, 1983.
  2. A. W. Goodman, Univalent Functions. Vols. I and II, Polygonal Publishing Company, 1983.
  3. H. M. Srivastava and S. Owa (Editors), Current Topics in Analytic Functions Theory, World Scientific Publ. Comp., 1992.
  4. I. S. Jack, Functions starlike and convex of order $\alpha$, J. London Math. Soc. 3 (1971), 469-474. https://doi.org/10.1112/jlms/s2-3.3.469
  5. M. Nunokawa, On the properties of non-caratheodory functions, Proc. Japan. Acad. Ser. A Math. Sci. 68 (1992), 152-153. https://doi.org/10.3792/pjaa.68.152
  6. H. Irmak and S. Owa, Certain inequalities for multivalent starlike and meromorphically multivalent starlike functions, Bull. Inst. Math. Acad. Sinica 31 (2003), no. 1, 11-21.
  7. H. Irmak, R. K. Raina and S. Owa, A criterion for multivalent starlike and meromorphically multivalent starlike functions, Inter. J. Appl. Math. 12 (2003), no. 2, 93-98.
  8. H. Irmak, R. K. Raina and S. Owa, Cetain results involving inequalities on analytic and univalent functions, Far East J. Math. Sci. 10 (2003), no. 3, 359-366.
  9. H. Irmak and S. Owa, Cetain inequalities involving analytic and univalent functions, Far East J. Math. Sci. 10 (2003), no. 3, 353-358.
  10. H. Irmak and R. K. Raina, The starlikeness and convexity of multivalent functions involving certain inequalities, Rev. Mat. Complut. 16 (2003), no. 2, 391-398.