Deprecated: $wgMWOAuthSharedUserIDs=false is deprecated, set $wgMWOAuthSharedUserIDs=true, $wgMWOAuthSharedUserSource='local' instead [Called from MediaWiki\HookContainer\HookContainer::run in /var/www/html/w/includes/HookContainer/HookContainer.php at line 135] in /var/www/html/w/includes/Debug/MWDebug.php on line 372
Coefficient inequality for a sub-class of generalized Sakaguchi type functions - MaRDI portal

Coefficient inequality for a sub-class of generalized Sakaguchi type functions (Q326866)

From MaRDI portal





scientific article; zbMATH DE number 6637948
Language Label Description Also known as
English
Coefficient inequality for a sub-class of generalized Sakaguchi type functions
scientific article; zbMATH DE number 6637948

    Statements

    Coefficient inequality for a sub-class of generalized Sakaguchi type functions (English)
    0 references
    0 references
    12 October 2016
    0 references
    Summary: In this paper, we investigated the upper bounds of \(|a_{3}-\mu a_{2}^{2}|\), \(\mu\) real, for a subclass of generalized Sakaguchi type functions of the form \(f(z)=z +\sum_{n=2}^\infty a_{n}z^{n}\), in the unit disc \(E=\{z:|z|<1\}\). Results due to various authors follows as special cases.
    0 references
    analytic functions
    0 references
    univalent functions
    0 references
    Sakaguchi type functions
    0 references
    starlike functions with respect to symmetric points
    0 references
    bounded functions
    0 references
    subordination
    0 references

    Identifiers