Research Article
BibTex RIS Cite

Year 2017, Volume: 46 Issue: 6, 1105 - 1112, 01.12.2017
https://izlik.org/JA26YS65JL

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
https://izlik.org/JA26YS65JL

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 Research Article
Authors

H.esra Özkan Uçar

Oya Mert

Yasar Polatoglu

Publication Date December 1, 2017
IZ https://izlik.org/JA26YS65JL
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. 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