Research Article

Some properties of $q-$close-to-convex functions

Volume: 46 Number: 6 December 1, 2017
EN

Some properties of $q-$close-to-convex functions

Abstract

Quantum calculus had been used first time by M.E.H.Ismail, E.Merkes and D.Steyr in the theory of univalent functions [5]. In this present paper we examine the subclass of univalent functions which is defined by quantum calculus.

Keywords

References

  1. G.E.Andrews, Application of basic Hypergeometric Functions, SIAM Rew,(16) 1974, 441- 484.
  2. N.J.Fine, Basic Hypergeometric Series and Applications, Mathematical Surveys No 27 American Math.Soc.Providence, 1988.
  3. G. Gasper and M.Rahman, Basic Hypergeometric Series, Cambridge University Press, 2004.
  4. A.W. Goodman, Univalent Functions Volume I and Volume II, Mariner Pub. Comp. Inc., Tampa,Florida, 1984.
  5. M.E.H. Ismail,E.Merkes and D.Steyr, A generalization of Starlike functions, Complex Variables (14)(1990), 77–84.
  6. I.S.Jack, Functions starlike and convex of order alpha, J. Lond. Math. Soc., 2(3) 1971, 469-474.
  7. V. Koc and P.Cheung,Quantum Calculus ,Springer,2001.
  8. A. Yemisçi Arzu and Y. Polatoglu, Growth and Distortion theorems for q-Convex Functions, Mathematica Slovaca.(2016 Submitted)

Details

Primary Language

English

Subjects

Mathematical Sciences

Journal Section

Research Article

Publication Date

December 1, 2017

Submission Date

October 3, 2016

Acceptance Date

March 8, 2017

Published in Issue

Year 2017 Volume: 46 Number: 6

APA
Özkan Uçar, H., Mert, O., & Polatoglu, Y. (2017). Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics, 46(6), 1105-1112. https://izlik.org/JA26YS65JL
AMA
1.Özkan Uçar H, Mert O, Polatoglu Y. Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics. 2017;46(6):1105-1112. https://izlik.org/JA26YS65JL
Chicago
Özkan Uçar, H.esra, Oya Mert, and Yasar Polatoglu. 2017. “Some Properties of $q-$close-to-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 46 (6): 1105-12. https://izlik.org/JA26YS65JL.
EndNote
Özkan Uçar H, Mert O, Polatoglu Y (December 1, 2017) Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics 46 6 1105–1112.
IEEE
[1]H. Özkan Uçar, O. Mert, and Y. Polatoglu, “Some properties of $q-$close-to-convex functions”, Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, pp. 1105–1112, Dec. 2017, [Online]. Available: https://izlik.org/JA26YS65JL
ISNAD
Özkan Uçar, H.esra - Mert, Oya - Polatoglu, Yasar. “Some Properties of $q-$close-to-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 46/6 (December 1, 2017): 1105-1112. https://izlik.org/JA26YS65JL.
JAMA
1.Özkan Uçar H, Mert O, Polatoglu Y. Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics. 2017;46:1105–1112.
MLA
Özkan Uçar, H.esra, et al. “Some Properties of $q-$close-to-Convex Functions”. Hacettepe Journal of Mathematics and Statistics, vol. 46, no. 6, Dec. 2017, pp. 1105-12, https://izlik.org/JA26YS65JL.
Vancouver
1.H.esra Özkan Uçar, Oya Mert, Yasar Polatoglu. Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics [Internet]. 2017 Dec. 1;46(6):1105-12. Available from: https://izlik.org/JA26YS65JL