Some univalence conditions for a general integral operator

Laura Stanciu; Daniel Breaz

doi:10.1007/s11401-012-0753-9

Chinese Annals of Mathematics, Series B ›› 2012, Vol. 33 ›› Issue (6) : 801 -806. DOI: 10.1007/s11401-012-0753-9

Article

Some univalence conditions for a general integral operator

Laura Stanciu ¹^,^a
, Daniel Breaz ²

Author information +

History +

PDF

Abstract

The authors consider the classes of the univalent functions denoted by SH(β), SP and SP(α, β). On these classes, the univalence conditions for a general integral operator are studied.

Keywords

Analytic function / Integral operator / Univalence condition / General Schwarz lemma

Cite this article

Download citation ▾

Laura Stanciu, Daniel Breaz. Some univalence conditions for a general integral operator. Chinese Annals of Mathematics, Series B, 2012, 33(6): 801-806 DOI:10.1007/s11401-012-0753-9

登录浏览全文

4963

注册一个新账户忘记密码

References

Publishing order | Descend order by publishing year | Descend order by cited within

[1]	Blezu D.. On univalence criteria. Gen. Math., 2006, 14: 77-84

[2]	Blezu D., Pascu R. N.. Univalence criteria for integral operators. Glas. Mat., 2001, 36: 241-245

[3]	Breaz D., Breaz N.. The univalent conditions for an integral operator on the classes S(p) and $\mathfrak{T}_2 $. J. Approx. Theory Appl., 2005, 1: 93-98

[4]	Pescar V.. A new generalization of Ahlfor’s and Becker’s criterion of univalence. Bull. Malays. Math. Soc., 1996, 19: 53-54

[5]	Pescar V.. Univalence of certain integral operators. Acta Univ. Apul, 2006, 12: 43-48

[6]	Ronning F.. Integral reprezentations of bounded starlike functions. Ann. Polon. Math., 1995, LX(3): 289-297

[7]	Ronning F.. Uniformly convex functions and a corresponding class of starlike functions. Proc. Amer. Math. Soc., 1993, 118(1): 190-196

[8]	Stankiewicz J., Wisniowska A.. Starlike functions associated with some hyperbola. Folia Sci. Univ. Tehnicae Resov. 147, Matematyka, 1996, 19: 117-126