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ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES

Year 2006, Volume: 35 Issue: 1, 1 - 6, 01.01.2006
https://izlik.org/JA74KL99KB

Abstract

In the present paper we will establish some properties of the class of α - Quasi - Uniformly convex, p-valent functions of type β in the open unit disk, which we denote by QUCVp,λ β,α, for λ > −1; 0 ≤ β < p, α ≥ 0 and p ∈ N, by making use of the Ruscheweyh Derivatives.

References

  • Goodman,A. W. On uniformly convex functions, Annals Polonici Mathematici XVI (1), 8– 22, 1991.
  • Khalida, I. On Quasi-convex functions, Car. J. Math. 3, 1–8, 1984.
  • Libera, R. J. Some classes of regular functions, Proc. Amer. Math. Soc. 16, 755–758, 1965.
  • Livingston, A. E. On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 16, 352–357, 1965.
  • Padmanabhan, K. S. On certain sub-classes of Bezilevic functions, Indian J. Math. 9 (3), 1–16, 1997.
  • Rajagopal, R. and Selvaraj, C. On a class of uniformly quasi-convex functions, Bull. Cal. Math. Soc. 95 (1), 2003.
  • Rİnning, F. On starlike functions associated with parabolic regions, Ann. Univ. Marie Curie, Sklo, Sect. A 45, 117–122, 1991.
  • Selvaraj, C. On Alpha - Quasi - Uniformly convex functions, J. of Indian Acad. Math. 25(1), 169–185, 2003.

ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES

Year 2006, Volume: 35 Issue: 1, 1 - 6, 01.01.2006
https://izlik.org/JA74KL99KB

Abstract

References

  • Goodman,A. W. On uniformly convex functions, Annals Polonici Mathematici XVI (1), 8– 22, 1991.
  • Khalida, I. On Quasi-convex functions, Car. J. Math. 3, 1–8, 1984.
  • Libera, R. J. Some classes of regular functions, Proc. Amer. Math. Soc. 16, 755–758, 1965.
  • Livingston, A. E. On the radius of univalence of certain analytic functions, Proc. Amer. Math. Soc. 16, 352–357, 1965.
  • Padmanabhan, K. S. On certain sub-classes of Bezilevic functions, Indian J. Math. 9 (3), 1–16, 1997.
  • Rajagopal, R. and Selvaraj, C. On a class of uniformly quasi-convex functions, Bull. Cal. Math. Soc. 95 (1), 2003.
  • Rİnning, F. On starlike functions associated with parabolic regions, Ann. Univ. Marie Curie, Sklo, Sect. A 45, 117–122, 1991.
  • Selvaraj, C. On Alpha - Quasi - Uniformly convex functions, J. of Indian Acad. Math. 25(1), 169–185, 2003.
There are 8 citations in total.

Details

Primary Language English
Subjects Statistics
Journal Section Research Article
Authors

A. Tehranchi This is me

S. R. Kulkarni This is me

Publication Date January 1, 2006
IZ https://izlik.org/JA74KL99KB
Published in Issue Year 2006 Volume: 35 Issue: 1

Cite

APA Tehranchi, A., & Kulkarni, S. R. (2006). ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics, 35(1), 1-6. https://izlik.org/JA74KL99KB
AMA 1.Tehranchi A, Kulkarni SR. ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics. 2006;35(1):1-6. https://izlik.org/JA74KL99KB
Chicago Tehranchi, A., and S. R. Kulkarni. 2006. “ON ALPHA-QUASI-UNIFORMLY CONVEX P-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES”. Hacettepe Journal of Mathematics and Statistics 35 (1): 1-6. https://izlik.org/JA74KL99KB.
EndNote Tehranchi A, Kulkarni SR (January 1, 2006) ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics 35 1 1–6.
IEEE [1]A. Tehranchi and S. R. Kulkarni, “ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 1, pp. 1–6, Jan. 2006, [Online]. Available: https://izlik.org/JA74KL99KB
ISNAD Tehranchi, A. - Kulkarni, S. R. “ON ALPHA-QUASI-UNIFORMLY CONVEX P-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES”. Hacettepe Journal of Mathematics and Statistics 35/1 (January 1, 2006): 1-6. https://izlik.org/JA74KL99KB.
JAMA 1.Tehranchi A, Kulkarni SR. ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics. 2006;35:1–6.
MLA Tehranchi, A., and S. R. Kulkarni. “ON ALPHA-QUASI-UNIFORMLY CONVEX P-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES”. Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 1, Jan. 2006, pp. 1-6, https://izlik.org/JA74KL99KB.
Vancouver 1.A. Tehranchi, S. R. Kulkarni. ON ALPHA-QUASI-UNIFORMLY CONVEX p-VALENT FUNCTIONS OF TYPE β IN TERMS OF RUSCHEWEYH DERIVATIVES. Hacettepe Journal of Mathematics and Statistics [Internet]. 2006 Jan. 1;35(1):1-6. Available from: https://izlik.org/JA74KL99KB