Research Article
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Year 2017, Volume: 46 Issue: 6, 1105 - 1112, 01.12.2017

Abstract

References

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

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

Year 2017, Volume: 46 Issue: 6, 1105 - 1112, 01.12.2017

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.

References

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

Details

Primary Language English
Subjects Mathematical Sciences
Journal Section Mathematics
Authors

H.esra Özkan Uçar

Oya Mert

Yasar Polatoglu

Publication Date December 1, 2017
Published in Issue Year 2017 Volume: 46 Issue: 6

Cite

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.
AMA Özkan Uçar H, Mert O, Polatoglu Y. Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics. December 2017;46(6):1105-1112.
Chicago Özkan Uçar, H.esra, Oya Mert, and Yasar Polatoglu. “Some Properties of $q-$close-to-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 46, no. 6 (December 2017): 1105-12.
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 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, 2017.
ISNAD Özkan Uçar, H.esra et al. “Some Properties of $q-$close-to-Convex Functions”. Hacettepe Journal of Mathematics and Statistics 46/6 (December 2017), 1105-1112.
JAMA 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, 2017, pp. 1105-12.
Vancouver Özkan Uçar H, Mert O, Polatoglu Y. Some properties of $q-$close-to-convex functions. Hacettepe Journal of Mathematics and Statistics. 2017;46(6):1105-12.