ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

Z.-g. Wang; D.-z. Chen

EN TR

ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS

Abstract

In this paper, we introduce a new subclass Ks(λ, A, B) of close-toconvex functions. Such results as inclusion relationships, coefficient estimates, distortion and covering theorems for this class are proved. The results presented here would provide extensions of those given in earlier works. Several other new results are also obtained.

Keywords

Analytic functions,Starlike functions,Close-to-convex functions,Hadamard product (or convolution),Subordination between analytic functions,2000 AMS Classification: 30 C 45

References

Gao, C. -Y. and Zhou, S. -Q. On a class of analytic functions related to the starlike functions, Kyungpook Math. J. 45, 123–130, 2005.
Liu, M. -S. On a subclass of p-valent close-to-convex functions of order β and type α, J. Math. Study 30, 102–104, 1997 (in Chinese).
Rogosinski, W. On the coefficients of subordinate functions, Proc. London Math. Soc. (Ser. 2) 48, 48–82, 1943.
Wang, Z. -G., Gao, C. -Y. and Yuan, S. -M. On certain subclass of close-to-convex functions, Acta Math. Acad. Paedagog. Nyh´azi. (N.S.) 22, 171–177, 2006.
Wu, Z. -R. The integral opterator of starlikeness and the family of Bazileviˇc functions, Acta Math. Sinica 27, 394–409, 1984 (in Chinese).

Details

Primary Language

English

Subjects

Statistics

Journal Section

Research Article

Authors

Z.-g. Wang This is me

D.-z. Chen This is me

Publication Date

February 1, 2009

Submission Date

May 12, 2014

Acceptance Date

-

Published in Issue

Year 2009 Volume: 38 Number: 2

IZ

https://izlik.org/JA57BW57LJ

Cite

RIS / Bibtex

APA

Wang, Z.- g., & Chen, D.- z. (2009). ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics, 38(2), 95-101. https://izlik.org/JA57BW57LJ

AMA

1.Wang Z g., Chen D z. ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2009;38(2):95-101. https://izlik.org/JA57BW57LJ

Chicago

Wang, Z.-g., and D.-z. Chen. 2009. “ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 38 (2): 95-101. https://izlik.org/JA57BW57LJ.

EndNote

Wang Z- g., Chen D- z. (February 1, 2009) ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics 38 2 95–101.

IEEE

[1]Z.- g. Wang and D.- z. Chen, “ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS”, Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 2, pp. 95–101, Feb. 2009, [Online]. Available: https://izlik.org/JA57BW57LJ

ISNAD

Wang, Z.-g. - Chen, D.-z. “ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics 38/2 (February 1, 2009): 95-101. https://izlik.org/JA57BW57LJ.

JAMA

1.Wang Z- g., Chen D- z. ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics. 2009;38:95–101.

MLA

Wang, Z.-g., and D.-z. Chen. “ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS”. Hacettepe Journal of Mathematics and Statistics, vol. 38, no. 2, Feb. 2009, pp. 95-101, https://izlik.org/JA57BW57LJ.

Vancouver

1.Z.-g. Wang, D.-z. Chen. ON A SUBCLASS OF CLOSE-TO-CONVEX FUNCTIONS. Hacettepe Journal of Mathematics and Statistics [Internet]. 2009 Feb. 1;38(2):95-101. Available from: https://izlik.org/JA57BW57LJ