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On P-Valently Close-To-Convex, Starlike and Convex Functions

Yıl 2012, Cilt: 41 Sayı: 5, 635 - 642, 01.05.2012

Öz

Kaynakça

  • Duren, P. L. Univalent Functions (Springer-Verlag, New York, 1983).
  • Goodman, A. W. Univalent Functions, Volume I (Polygonal, Washington, 1983).
  • Jack, I. S. Functions starlike aud convex of order α, J. London Math. Soc. 3 (2), 469–474, 1971 .
  • Irmak, H. Certain inequalities and their applications to multivalently analytic functions, Math. Inequal.Appl. 8 (3), 451–458, 2005.
  • Irmak, H. and C¸ etin, ¨O. F. Some inequalities on p-valent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 28, 71–76, 1999.
  • Miller, S. S. and Mocanu P. T. Second order differential inequalities in complex plane, J. Math. Anal. Appl. 65, 289–305, 1978.
  • Nunokawa, M. On the theory of multivalent functions, Tsukuba J. Math. 11, 273–286, 1987. [8] Owa, S., Nunokawa, M., Saitoh, H. and Srivastava, H. M. Close-to-convexity, starlikeness, and convexity of certain analytic functions, Appl. Math. Lett. 15, 63–69, 2002.
  • Singh, V. and Tuneski, N. On criteria for starlikeness and convexity of analytic functions, Acta Mathematica Scientia. Series B 24 (4), 597–602, 2004.
  • Srivastava, H. M. and Owa, S. (Editors) Current Topics in Analytic Function Theory (World Scientific, Singapore, 1992).
  • Tuneski, N. On the quotient of the representations of convexity and starlikeness, Math. Nachr. 248-249, 200–203, 2003.
  • Wang, Z. -G. and Xu, N. A new criterion for multivalent starlike functions, Appl. Anal. Discrete Math. 2, 183–188, 2008.

On P-Valently Close-To-Convex, Starlike and Convex Functions

Yıl 2012, Cilt: 41 Sayı: 5, 635 - 642, 01.05.2012

Öz

The main object of the present paper is to derive several sufficient conditions for close-to-convexity, starlikeness, and convexity of certain p-valent analytic functions in the unit disk. Some interesting consequences of the main results are also mentioned.

Kaynakça

  • Duren, P. L. Univalent Functions (Springer-Verlag, New York, 1983).
  • Goodman, A. W. Univalent Functions, Volume I (Polygonal, Washington, 1983).
  • Jack, I. S. Functions starlike aud convex of order α, J. London Math. Soc. 3 (2), 469–474, 1971 .
  • Irmak, H. Certain inequalities and their applications to multivalently analytic functions, Math. Inequal.Appl. 8 (3), 451–458, 2005.
  • Irmak, H. and C¸ etin, ¨O. F. Some inequalities on p-valent functions, Hacet. Bull. Nat. Sci. Eng. Ser. B 28, 71–76, 1999.
  • Miller, S. S. and Mocanu P. T. Second order differential inequalities in complex plane, J. Math. Anal. Appl. 65, 289–305, 1978.
  • Nunokawa, M. On the theory of multivalent functions, Tsukuba J. Math. 11, 273–286, 1987. [8] Owa, S., Nunokawa, M., Saitoh, H. and Srivastava, H. M. Close-to-convexity, starlikeness, and convexity of certain analytic functions, Appl. Math. Lett. 15, 63–69, 2002.
  • Singh, V. and Tuneski, N. On criteria for starlikeness and convexity of analytic functions, Acta Mathematica Scientia. Series B 24 (4), 597–602, 2004.
  • Srivastava, H. M. and Owa, S. (Editors) Current Topics in Analytic Function Theory (World Scientific, Singapore, 1992).
  • Tuneski, N. On the quotient of the representations of convexity and starlikeness, Math. Nachr. 248-249, 200–203, 2003.
  • Wang, Z. -G. and Xu, N. A new criterion for multivalent starlike functions, Appl. Anal. Discrete Math. 2, 183–188, 2008.
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İstatistik
Bölüm Matematik
Yazarlar

Erhan Deniz Bu kişi benim

Yayımlanma Tarihi 1 Mayıs 2012
Yayımlandığı Sayı Yıl 2012 Cilt: 41 Sayı: 5

Kaynak Göster

APA Deniz, E. (2012). On P-Valently Close-To-Convex, Starlike and Convex Functions. Hacettepe Journal of Mathematics and Statistics, 41(5), 635-642.
AMA Deniz E. On P-Valently Close-To-Convex, Starlike and Convex Functions. Hacettepe Journal of Mathematics and Statistics. Mayıs 2012;41(5):635-642.
Chicago Deniz, Erhan. “On P-Valently Close-To-Convex, Starlike and Convex Functions”. Hacettepe Journal of Mathematics and Statistics 41, sy. 5 (Mayıs 2012): 635-42.
EndNote Deniz E (01 Mayıs 2012) On P-Valently Close-To-Convex, Starlike and Convex Functions. Hacettepe Journal of Mathematics and Statistics 41 5 635–642.
IEEE E. Deniz, “On P-Valently Close-To-Convex, Starlike and Convex Functions”, Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 5, ss. 635–642, 2012.
ISNAD Deniz, Erhan. “On P-Valently Close-To-Convex, Starlike and Convex Functions”. Hacettepe Journal of Mathematics and Statistics 41/5 (Mayıs 2012), 635-642.
JAMA Deniz E. On P-Valently Close-To-Convex, Starlike and Convex Functions. Hacettepe Journal of Mathematics and Statistics. 2012;41:635–642.
MLA Deniz, Erhan. “On P-Valently Close-To-Convex, Starlike and Convex Functions”. Hacettepe Journal of Mathematics and Statistics, c. 41, sy. 5, 2012, ss. 635-42.
Vancouver Deniz E. On P-Valently Close-To-Convex, Starlike and Convex Functions. Hacettepe Journal of Mathematics and Statistics. 2012;41(5):635-42.