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On functions with negative coefficients which are starlike and convex with respect ton-symmetric points

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References

  1. K. Sakaguchi, “On a certain univalent mapping,” J. Math. Soc. Japan,11, 72–80 (1959).

    Article  MATH  MathSciNet  Google Scholar 

  2. P. T. Mocanu, “On starlike functions with respect to symmetric points,” Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.),28, No. 1, 47–50 (1984).

    MathSciNet  Google Scholar 

  3. R. N. Das and P. Singh, “On subclasses of schlicht mapping,” Indian J. Pure Math.,8, No. 8, 864–872 (1977).

    MATH  MathSciNet  Google Scholar 

  4. J. Thangamani, “On starlike functions with respect to symmetric points,” Indian J. Pure Appl. Math.,11, No. 3, 392–405 (1980).

    MATH  MathSciNet  Google Scholar 

  5. K. S. Padmanabhan and J. Thangamani, “The effect of certain integral operators on some classes of starlike functions with respect to symmetric points,” Bull. Math. Soc. Sci. Math. R. S. Roumanie (N.S.),26(74), No. 4, 355–360 (1982).

    MathSciNet  Google Scholar 

  6. R. M. Goel and B. C. Mehrok, “A subclass of starlike functions with respect to symmetric points,” Tamkang J. Math.,13, No. 1, 11–24 (1982).

    MATH  MathSciNet  Google Scholar 

  7. M. Obradović, “Some theorems on subordination by univalent functions,” Mat. Vestnik,37, No. 2, 211–214 (1985).

    MATH  Google Scholar 

  8. Hai Ou Tan, “On the class of functions starlike with respect top symmetric points,” Huaihua Shizhuan Xuebao: Natur. Sci. J. Huaihua Teachers College,7, No. 2, 56–64 (1988).

    MATH  Google Scholar 

  9. R. N. Das and P. Singh, “Radius of convexity for a certain subclass of close-to-convex functions,” J. Indian Math. Soc.,41, No. 3–4, 363–369 (1977).

    MATH  MathSciNet  Google Scholar 

  10. H. Silverman, “Univalent functions with negative coefficients,” Proc. Amer. Math. Soc.,51, No. 1, 109–116 (1975).

    Article  MATH  MathSciNet  Google Scholar 

  11. V. P. Gupta and P. K. Jain, “Certain classes of univalent functions with negative coefficients,” Bull. Austral. Math. Soc.,14, No. 3, 409–416 (1976).

    Article  MATH  MathSciNet  Google Scholar 

  12. S. Owa, “On the special classes of univalent functions,” Tamkang J. Math.,15, No. 2, 123–126 (1984).

    MATH  MathSciNet  Google Scholar 

  13. S. Owa, “On the subclasses of univalent functions,” Math. Japon.,28, No. 1, 97–108 (1983).

    MATH  MathSciNet  Google Scholar 

  14. V. Kumar and S. L. Schukla, “On a Libera integral operator,” Stud. Univ. Babes-Bolyai Math.,31, No. 1, 15–19 (1986).

    MATH  Google Scholar 

  15. L. Brickman, T. H. MacGregor, and D. R. Wilken, “Convex hulls of some classical families of univalent functions,” Trans. Amer. Math. Soc.,156, No. 1, 91–107 (1971).

    Article  MATH  MathSciNet  Google Scholar 

  16. L. Brickman and Y. J. Leung, “Exposed points of the set of univalent functions,” Bull. London. Math. Soc.,16, No. 2, 157–159 (1984).

    Article  MATH  MathSciNet  Google Scholar 

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Stavropol'. Translated fromSibirskiî Matematicheskiî Zhurnal, Vol. 39, No. 3, pp. 617–624, May–June, 1998.

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Sizhuk, V.P. On functions with negative coefficients which are starlike and convex with respect ton-symmetric points. Sib Math J 39, 534–541 (1998). https://doi.org/10.1007/BF02673911

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