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Close-to-Convex Functions By Means Of Bounded Boundary Rotation

Year 2019, Volume: 7 Issue: 1, 136 - 139, 15.04.2019

Abstract

In the present paper, we study on the class $\mathcal{CC}_k(A,B)$ of the close-to-convex functions with bounded boundary rotation. We investigate distortion theorem, growth theorem and coefficient inequality for the class $\mathcal{CC}_k(A,B)$.

References

  • [1] A. W. Goodman, Univalent functions vol. I and II, Polygonal Pub. House, 1983.
  • [2] I. S. Jack, Functions starlike and convex of order alpha, J. London Math. Soc. (2)(3)(1971), 469-474.
  • [3] K. I. Noor, B. Malik, S. Mustafa, A Survey on Functions Bounded Boundary and Bounded Radius Rotation, Appl. Math. E-Notes. 12 (2012), 136-152.
  • [4] B. Pinchuk, Functions of bounded boundary rotation, Isr. J. Math. 10 (1971), 7-19.
Year 2019, Volume: 7 Issue: 1, 136 - 139, 15.04.2019

Abstract

References

  • [1] A. W. Goodman, Univalent functions vol. I and II, Polygonal Pub. House, 1983.
  • [2] I. S. Jack, Functions starlike and convex of order alpha, J. London Math. Soc. (2)(3)(1971), 469-474.
  • [3] K. I. Noor, B. Malik, S. Mustafa, A Survey on Functions Bounded Boundary and Bounded Radius Rotation, Appl. Math. E-Notes. 12 (2012), 136-152.
  • [4] B. Pinchuk, Functions of bounded boundary rotation, Isr. J. Math. 10 (1971), 7-19.
There are 4 citations in total.

Details

Primary Language English
Subjects Engineering
Journal Section Articles
Authors

Yaşar Polatoğlu

Asena Çetinkaya

Oya Mert

Publication Date April 15, 2019
Submission Date June 19, 2018
Acceptance Date March 5, 2019
Published in Issue Year 2019 Volume: 7 Issue: 1

Cite

APA Polatoğlu, Y., Çetinkaya, A., & Mert, O. (2019). Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp Journal of Mathematics, 7(1), 136-139.
AMA Polatoğlu Y, Çetinkaya A, Mert O. Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp J. Math. April 2019;7(1):136-139.
Chicago Polatoğlu, Yaşar, Asena Çetinkaya, and Oya Mert. “Close-to-Convex Functions By Means Of Bounded Boundary Rotation”. Konuralp Journal of Mathematics 7, no. 1 (April 2019): 136-39.
EndNote Polatoğlu Y, Çetinkaya A, Mert O (April 1, 2019) Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp Journal of Mathematics 7 1 136–139.
IEEE Y. Polatoğlu, A. Çetinkaya, and O. Mert, “Close-to-Convex Functions By Means Of Bounded Boundary Rotation”, Konuralp J. Math., vol. 7, no. 1, pp. 136–139, 2019.
ISNAD Polatoğlu, Yaşar et al. “Close-to-Convex Functions By Means Of Bounded Boundary Rotation”. Konuralp Journal of Mathematics 7/1 (April 2019), 136-139.
JAMA Polatoğlu Y, Çetinkaya A, Mert O. Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp J. Math. 2019;7:136–139.
MLA Polatoğlu, Yaşar et al. “Close-to-Convex Functions By Means Of Bounded Boundary Rotation”. Konuralp Journal of Mathematics, vol. 7, no. 1, 2019, pp. 136-9.
Vancouver Polatoğlu Y, Çetinkaya A, Mert O. Close-to-Convex Functions By Means Of Bounded Boundary Rotation. Konuralp J. Math. 2019;7(1):136-9.
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