[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/CKMS.c160130

COEFFICIENT ESTIMATES FOR CERTAIN SUBCLASS OF MEROMORPHIC AND BI-UNIVALENT FUNCTIONS

Salehian, Safa (Department of Mathematics Shahrood University of Technology)
Zireh, Ahmad (Department of Mathematics Shahrood University of Technology)

Publication Information

Communications of the Korean Mathematical Society / v.32, no.2, 2017 , pp. 389-397 More about this Journal

Abstract

In this paper, we introduce and investigate an interesting subclass of meromorphic bi-univalent functions defined on ${\Delta}=\{z{\in}{\mathbb{C}}$ : 1 < |z| < ${\infty}\}$ . For functions belonging to this class, estimates on the initial coefficients are obtained. The results presented in this paper would generalize and improve some recent works of several earlier authors.

Keywords

meromorphic functions; meromorphic bi-univalent functions; coefficient estimates;

Citations & Related Records

Times Cited By KSCI : 1 (Citation Analysis)

Reference
Cited By KSCI

1	M. Schiffer, Sur un probleme d'extremum de la representation conforme, Bull. Soc. Math. France 66 (1938), 48-55.
2	G. Schober, Coefficients of inverses of meromorphic univalent functions, Proc. Amer. Math. Soc. 67 (1977), no. 1, 111-116. DOI
3	G. Springer, The coefficient problem for schlicht mappings of the exterior of the unit circle, Trans. Amer. Math. Soc. 70 (1951), 421-450. DOI
4	P. L. Duren, Univalent functions, Grundlehren der Mathematischen Wissenschaften, Band 259, Springer-Verlag, New York, Berlin, Heidelberg and Tokyo, 1983.
5	S. G. Hamidi, S. A. Halim, and J. M. Jahangiri, Coefficient estimates for a class of meromorphic biunivalent functions, C. R. Math. Acad. Sci. Paris 351 (2013), no. 9-10, 349-352. DOI
6	S. G. Hamidi, S. A. Halim, and J. M. Jahangiri, Faber polynomial coefficient estimates for meromorphic bi-starlike functions, Int. J. Math. Math. Sci. 2013 (2013), Art. ID 498159, 4 pp.
7	S. G. Hamidi, T. Janani, G. Murugusundaramoorthy, and J. M. Jahangiri, Coefficient estimates for certain classes of meromorphic bi-univalent functions, C. R. Math. Acad. Sci. Paris 352 (2014), no. 4, 277-282. DOI
8	T. Janani and G. Murugusundaramoorthy, Coefficient estimates of meromorphic bistarlike functions of complex order, Inter. J. Anal. Appl. 4 (2014), no. 1, 68-77.
9	Y. Kubota, Coefficients of meromorphic univalent functions, Kodai Math. Sem. Rep. 28 (1976/77), no. 2-3, 253-261. DOI
10	T. Panigrahi, Coefficient bounds for certain subclasses of meromorphic and bi-univalent functions, Bull. Korean Math. Soc. 50 (2013), no. 5, 1531-1538. DOI