1. Geometric properties of generalized polylogarithm.
- Author
-
Mondal, Saiful R. and Swaminathan, A.
- Subjects
- *
LOGARITHMS , *HYPERGEOMETRIC functions , *GEOMETRY , *CONVEX domains , *HYPERGEOMETRIC series - Abstract
In this paper, the generalized polylogarithm Φp, q(a, b, z), which is a particular representation of generalized hypergeometric functions, is considered. Conditions on the parameters a, b, p and q are found such that the normalized form of these generalized polylogarithms has certain geometric properties such as close-to-convexity, starlikeness and convexity in the open unit disc . Results for the Alexander transform of these generalized polylogarithm are also obtained. [ABSTRACT FROM AUTHOR]
- Published
- 2010
- Full Text
- View/download PDF