Some classes of alpha-quasi-convex functions (Q1105076)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: Some classes of alpha-quasi-convex functions |
scientific article; zbMATH DE number 4057874
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some classes of alpha-quasi-convex functions |
scientific article; zbMATH DE number 4057874 |
Statements
Some classes of alpha-quasi-convex functions (English)
0 references
1988
0 references
If f(z) and g(z) are regular in the disk with the usual normalization and g(z) is subordinate to \((1+CZ)/(1+DZ)\), \(-1\leq D<C\leq 1\), then the author studies f(z) for which \[ [1-\alpha)f'(z)+\alpha (zf'(z))']/g'(z) \] is subordinateronskians are exactly that what is needed to simplify his own proofs.
0 references
Hadamard product
0 references
starlike
0 references
subordinate
0 references
0 references
0 references
