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Neighborhood Properties for Certain Subclasses of Analytic Functions of Complex Order with Negative Coefficients

Serap Bulut
경북대학교 자연과학대학 수학과|2014.06|Kyungpook Mathematical Journal|제54권 제2호|pp. 211-220|DOI http://dx.doi.org/10.5666/KMJ.2014.54.2.211

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키워드

Analytic functionsMultivalent functionsCoefficient boundsNeighborhood propertiesInclusion relationsAl-Oboudi derivative
주제분류수학

초록

In thepresent investigation, by making use of the familiar concept ofneighborhoods of analytic and multivalent functions, we proveseveral inclusion relations associated with the (n,δ)-neighborhoods of certain subclasses of analytic functionsof complex order, which are introduced here by means of theAl-Oboudi derivative. Several special cases of the main results arementioned.

Abstract

In thepresent investigation, by making use of the familiar concept ofneighborhoods of analytic and multivalent functions, we proveseveral inclusion relations associated with the (n,δ)-neighborhoods of certain subclasses of analytic functionsof complex order, which are introduced here by means of theAl-Oboudi derivative. Several special cases of the main results arementioned.

참고문헌 (20)

  1. O. P. Ahuja, "Neighborhoods of analytic functions defined by Ruscheweyh derivatives", Math. Japon., 51, pp.487~492 (2003)
  2. F. M. Al-Oboudi, "On univalent functions defined by a generalized Salagean operator", Int. J. Math. Math. Sci., 2004(25-28), pp.1429~1436 (2004)
  3. O. Altintas, "Neighborhoods of certain p-valently analytic functions with negative coefficients", Appl. Math. Comput., 187, pp.47~53 (2007)
  4. O. Altintas, "Neighborhoods of certain analytic functions with negative coefficients", Int. J. Math. Math. Sci., 19, pp.797~800 (1996)
  5. O. Altintas, "Neighborhoods of a class of analytic functions with negative coefficients", Appl. Math. Letters, 13(3), pp.63~67 (2000)
  6. O. Altintas, "Majorization by starlike functions of complex order", Complex Variables Theory Appl., 46, pp.207~218 (2001)
  7. O. Altintas, "Neighborhoods of a certain family of mul-tivalent functions with negative coefficients", Comput. Math. Appl., 47, pp.1667~1672 (2004)
  8. S. Bulut, "On a class of analytic and multivalent functions with negative coefficients defined by Al-Oboudi differential operator", Stud. Univ. Babes-Bolyai Math., 55(4), pp.115~130 (2010)
  9. R. M. El-Ashwah, "Inclusion and neighborhood properties of some analytic p-valent functions", Gen. Math., 18(2), pp.173~184 (2010)
  10. A. W. Goodman, "Univalent functions and nonanalytic curves", Proc. Amer. Math. Soc., 8, pp.598~601 (1957)
  11. B. S. Keerthi, "A. Gangadharan and H. M. Srivastava, Neighborhoods of certain sub-classes of analytic functions of complex order with negative coefficients", Math. Com-put. Modelling, 47(3-4), pp.271~277 (2008)
  12. G. Murugusundaramoorthy, "Neighborhoods of certain classes of analytic functions of complex order", J. Inequal. Pure Appl. Math., 5, pp.1~8 (2004)
  13. M. A. Nasr, "Starlike function of complex order", J. Natur. Sci. Math, 25, pp.1~12 (1985)
  14. H. Orhan, "Starlike, convex and close-to convex functions of complex order", Appl. Math., Comput, 135, pp.251~262 (2003)
  15. R. K. Raina, "Inclusion and neighborhood properties of some analytic and multivalent functions", J. Inequal. Pure Appl. Math., 7(1), pp.1~6 (2006)
  16. S. Ruscheweyh, "Neighborhoods of univalent functions", Proc. Amer. Math. Soc., 81, pp.521~527 (1981)
  17. G. S. Salagean, "Subclasses of univalent functions", Complex Analysis-Fifth Romanian-Finnish seminar, Part 1 (Bucharest, 1981), pp.362~372 (1983), Springer Berlin
  18. T. N. Shanmugam, "Neighborhoods of a class of analytic func-tions with negative coefficients", J. Orissa Math. Soc., 25(1-2), pp.83~89 (2006)
  19. H. Silverman, "Neighborhoods of classes of analytic functions", Far East J. Math. Sci., 3, pp.165~169 (1995)
  20. P. Wiatrowski, "On the coefficients of some family of holomorphic functions", Zeszyty Nauk. Uniw. Lodzkiego, Mat.-Przyr., 39(2), pp.75~85 (1970)

관련 논문AI추천

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