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On certain subclasses of univalent functions of complex order associated with poisson distribution series

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Abstract

In the present paper, making a connection between some subclasses of univalent functions of complex order and Poisson distribution series, we give some conditions for Poisson distribution series belonging to these subclasses.

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References

  1. Nasr, M.A., Aouf, M.K.: Starlike functions of complex order. J. Natl. Sci. Math. 25, 1–12 (1985)

    MathSciNet  MATH  Google Scholar 

  2. Wiatrowski, P.: The coefficients of a certain family of holomorphic functions. Zesz. Nauk. Uniw. Lodz Nauk. Mat.-Przyrod (Ser.II) 39, 75–85 (1971)

    MathSciNet  Google Scholar 

  3. Aouf, M.K.: Some subordinations results for certain subclasses of starlike and convex functions of complex order. Acta Univ. Apulensis 35, 101–110 (2013)

    MathSciNet  MATH  Google Scholar 

  4. Altintaş, O., Özkan, Ö.: Starlike, convex and close-to-convex functions of complex order. Hacet. Bull. Nat. Sci. Eng. Ser. B 28, 37–46 (1999)

    MathSciNet  MATH  Google Scholar 

  5. Altintaş, O., Özkan, Ö., Srivastava, H.M.: Neighorhoods of a class of analytic functions with negative coefficient. Appl. Math. Lett. 13(3), 63–67 (2000)

    Article  MathSciNet  Google Scholar 

  6. Porwal S.: An application of a Poisson distribution series on certain analytic functions. J. Complex Anal. 2014, 1–3, Article ID 984135 (2014)

  7. Porwal, S., Kumar, M.: A unified study on starlike and convex functions associated with Poisson distribution series. Afr. Mat. 27, 1021 (2016). https://doi.org/10.1007/s13370-016-0398-z

    Article  MathSciNet  MATH  Google Scholar 

  8. Halim, S.A.: On a class of functions of complex order. Tamkang J. Math. 30(2), 147–153 (1999)

    MathSciNet  MATH  Google Scholar 

  9. Owa S.: Notes on starlike, convex, and close-to-convex functions of complex order. In: Srivastava, H.M., Owa, S. (Eds.) Univalent Functions, Fractional Calculus, and Their Applications, pp. 199–218, Halsted Press (Ellis Horwood Limited, Chichester). John Wiley and Sons, New York (1989)

  10. Murugusundaramoorthy, G., Vijaya, K., Porwal, S.: Some inclusion results of certain subclass of analytic functions associated with Poisson distribution series. Hacet. J. Math. Stat. 45(4), 1101–1107 (2016)

    MathSciNet  MATH  Google Scholar 

  11. Murugusundaramoorthy, G.: Subclasses of starlike and convex functions involving Poisson distribution series. Afr. Mat. 28, 1357 (2017). https://doi.org/10.1007/s13370-017-0520-x

    Article  MathSciNet  MATH  Google Scholar 

  12. Altınkaya, Ş., Yalçın, S.: Poisson distribution series for analytic univalent functions. Complex Anal. Oper. Theory 12, 1315 (2018). https://doi.org/10.1007/s11785-018-0764-y

    Article  MathSciNet  MATH  Google Scholar 

  13. Nasr, M.A., Aouf, M.K.: Bounded starlike functions of functions of complex order. Proc. Indian Acad. Sci. Math. 92(2), 97–102 (1983)

    Article  MathSciNet  Google Scholar 

  14. Nasr, M.A., Aouf, M.K.: On convex functions of complex order. Mansoura Sci. Bull. Egypt. 9, 565–582 (1982)

    Google Scholar 

  15. Nasr, M.A., Aouf, M.K.: Bounded convex functions of complex order. Bull. Fac. Sci. Mansoura Univ. 10, 513–527 (1983)

    Google Scholar 

  16. Aouf, M.K.: p-valent classes related to convex functions of complex order. Rocky Mt. J. Math. 15(4), 853–863 (1985)

    Article  MathSciNet  Google Scholar 

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Correspondence to Sevtap Sümer Eker.

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Altunhan, A., Sümer Eker, S. On certain subclasses of univalent functions of complex order associated with poisson distribution series. Bol. Soc. Mat. Mex. 26, 1023–1034 (2020). https://doi.org/10.1007/s40590-020-00298-9

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  • DOI: https://doi.org/10.1007/s40590-020-00298-9

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