A note on the span of Hadamard products of vectors
โ Scribed by Hajime Tanaka
- Publisher
- Elsevier Science
- Year
- 2009
- Tongue
- English
- Weight
- 82 KB
- Volume
- 430
- Category
- Article
- ISSN
- 0024-3795
No coin nor oath required. For personal study only.
๐ SIMILAR VOLUMES
We consider functions f and g which are holomoxphic on closed sectors in 4: where they admit an asymptotic representation at 00 in the form of power series in z-' . We give a simple geometrical condition under which the Hadamard product f \* g of f and g porsemes again an ~y m p totic expansion at 0
A function q ( z ) is said to be convex if it is a univalent conformal mapping of the unit disk 1x1 -= 1, hereafter called U , onto a convex domain. The HADAMARD product or convolution of two power series f ( 2 ) : = anzn and g(x) : = b,znis defined as the power series (f\*g) ( x ) : = anb,xn. The f