|
| << previous | next >> |
Journal description
All volumes of the corresponding journal
All issues of the corresponding volume
All articles of the corresponding issues
Details for article 5 of 63 found articles
| Title: |
An Integral Univalent Operator |
| Author: |
D. Breaz N. Breaz |
| Appeared in: |
Acta mathematica Universitatis Comenianae |
| Paging: | Volume LXXVI (2007) nr. 2 pages 137-142 |
| Year: |
2007 |
| Contents: |
In this paper we consider the class of univalent functions defined by the condition |(<i>z</i><sup>2</sup><i>f</i> '(<i>z</i>))/(<i>f</i> <sup>2</sup>(<i>z</i>))- 1|<1, <i>z</i> <FONT SIZE='3' FACE='Symbol'>Î</FONT> <i>U</i>, where <i>f</i>(<i>z</i>) = <i>z</i> + <i>a</i><sub>2</sub><i>z</i><sup>2</sup> + <FONT SIZE='3' FACE='Symbol'>¼</FONT>is an analytic function in the unit disc <br><i>U</i> = {<i>z</i> <FONT SIZE='3' FACE='Symbol'>Î</FONT> C : |<i>z</i>| < 1}. We present univalence conditions for the operator <TABLE BORDER= 0 CELLSPACING= 0 CELLPADDING= 0> <TR> <TD> <TABLE BORDER= 0 CELLSPACING= 0 CELLPADDING= 0 ALIGN="CENTER"> <TR> <TD> <i>G</i><sub><FONT SIZE='3' FACE='Symbol'>a</FONT>, <i>n</i></sub>(<i>z</i>) = <FONT SIZE='4' FACE='Symbol'>(</FONT> (n(<FONT SIZE='3' FACE='Symbol'>a</FONT> -1) + 1) </TD></TR> </TABLE> </TD> <TD BGCOLOR=#ffffff ALIGN='CENTER'> <DIV > <FONT SIZE='3' FACE='Arial'></FONT></DIV></TD> <TD> <TABLE BORDER= 0 CELLSPACING= 0 CELLPADDING= 0 ALIGN="CENTER"> <TR> <TD> <TABLE BORDER= 0 CELLSPACING= 0 CELLPADDING= 0 ALIGN="CENTER" > <TR> <TD BGCOLOR=#ffffff ALIGN='CENTER'> <DIV > <FONT SIZE='0' ><i>z</i></FONT></DIV></TD> </TR></TABLE></TD></TR><TR> <TR><TD ALIGN='CENTER'> <DIV > <FONT SIZE="6" FACE="Symbol"> ò</FONT></DIV></TD></TR> <TR> <TD> <TABLE BORDER= 0 CELLSPACING= 0 CELLPADDING= 0 ALIGN="CENTER" > <TR> <TD BGCOLOR=#ffffff ALIGN='CENTER'> <DIV > <FONT SIZE='0' >0</FONT></DIV></TD> </TR></TABLE></TD></TR> </TABLE> </TD> <TD BGCOLOR=#ffffff ALIGN='CENTER'> <DIV > <FONT SIZE='3'><i>g</i><sub>1</sub><sup><FONT SIZE='2' FACE='Symbol'>a</FONT> - 1</sup> (<i>t</i>) <FONT SIZE='3' FACE='Symbol'>¼</FONT> <i>g</i><sub><i>n</i></sub><sup><FONT SIZE='2' FACE='Symbol'>a</FONT> - 1</sup>(<i>t</i>) d<i>t</i> <FONT SIZE='4' FACE='Symbol'>)</FONT> <sup>1/(n(<FONT SIZE='3' FACE='Symbol'>a</FONT> -1) + 1)</sup>. </FONT></DIV></TD> </TR> </TABLE> |
| Publisher: |
Acta Mathematica Universitatis Comenianae, Institute of Applied Mathematics (provided by DOAJ) |
| Source file: |
Elektronische Wetenschappelijke Tijdschriften |
Details for article 5 of 63 found articles
| << previous | next >> |