Acta mathematica scientia, Series B >
CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS
Received date: 2012-01-20
Revised date: 2012-12-29
Online published: 2013-09-20
In this paper we derive certain sufficient conditions for starlikeness and con-vexity of order of meromorphically multivalent functions in the punctured unit disk.
XU Yi-Hui , B.A. FRASIN , LIU Jin-Lin . CERTAIN SUFFICIENT CONDITIONS FOR STARLIKENESS AND CONVEXITY OF MEROMORPHICALLY MULTIVALENT FUNCTIONS[J]. Acta mathematica scientia, Series B, 2013 , 33(5) : 1300 -1304 . DOI: 10.1016/S0252-9602(13)60082-X
[1] Alexander J W. Functions which map the interior of the unit circle upon simple regions. Ann Math, 1915–1916, 17: 12–22
[2] Li J L, Owa S. Sufficient conditions for starlikeness. Indian J Pure Appl Math, 2002, 33: 313–318
[3] Liu J L. The Noor integral and strongly starlike functions. J Math Anal Appl, 2001, 261: 441–447
[4] Mocanu P T. Some starlikeness conditions for analytic functions. Rev Roumaine Math & Pures Appl, 1988, 33: 117–124
[5] Mocanu P T. Some simple criteria for starlikeness and convexity. Libertas Math, 1993, 13: 27–40
[6] Nunokawa M, Owa S, Polatoglu Y, Caglar M, Duman E Y. Some sufficient conditions for starlikeness and convexity. Turkish J Math, 2010, 34: 333–337
[7] Ramesha C, Kumar S, Padmanabhan K S. A sufficient condition for starlikeness. Chinese J Math, 1995, 23: 167–171
[8] Uyan?k N, Aydogan M, Owa S. Extensions of sufficient conditions for starlikeness and convexity of order. Appl Math Lett, 2011, 24: 1393–1399
[9] Xu N, Yang D G. Some criteria for starlikeness and strongly starlikeness. Bull Korean Math Soc, 2005, 42: 579–590
/
| 〈 |
|
〉 |