Some properties of a certain class of rational functions

In the present paper, we investigate the familiar geometric properties of starlikeness, convexity and spirallikeness of a certain class of rational functions. Relevance with various known (and new) results are also mentioned.

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Bibliographic Details
Published in:Applied mathematics and computation Vol. 187; no. 1; pp. 403 - 407
Main Authors: Raina, R.K., Bansal, D.K.
Format: Journal Article Conference Proceeding
Language:English
Published: New York, NY Elsevier Inc 01.04.2007
Elsevier
Subjects:
Analytic functions
Convex functions
Exact sciences and technology
Functions of a complex variable
Mathematical analysis
Mathematics
Numerical analysis
Numerical analysis. Scientific computation
Real functions
Sciences and techniques of general use
Several complex variables and analytic spaces
Spirallike functions
Starlike functions
Starlike functions
Spirallike functions
Convex functions
Analytic functions
Numerical analysis
Applied mathematics
Geometric convexity
Convex function
Starlike function
Rational function
Analytical function
ISSN:0096-3003, 1873-5649
Online Access:Get full text
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Description
Summary:In the present paper, we investigate the familiar geometric properties of starlikeness, convexity and spirallikeness of a certain class of rational functions. Relevance with various known (and new) results are also mentioned.
ISSN:0096-3003
1873-5649
DOI:10.1016/j.amc.2006.08.139