Results 121 to 130 of about 2,822,582 (218)

Weakly starlike meromorphic univalent functions

open access: yes, 1975
A weakly starlike meromorphic univalent function is one of the form f ( z ) = − ρ z g ( z ) [ ( z − ρ ) (
Albert E. Livingston, Richard J. Libera
core   +1 more source

Starlike functions of complex order involving q-hypergeometric functions with fixed point

open access: yesAnnales Universitatis Paedagogicae Cracoviensis: Studia Mathematica, 2014
Recently Kanas and Ronning introduced the classes of starlike and convex functions, which are normalized with f(ksi)=f'(ksi)-1=0, ksi (|ksi|=d) is a fixed point in the open disc U ={z C:|z| 1}.
Kaliappan Vijaya   +2 more
doaj  

Weakly starlike meromorphic univalent functions. II

open access: yes, 1977
A function f ( z ) f(z) is said to be meromorphic weakly starlike if it has the form f ( z ) = − ρ z F ( Z ) /
Albert E. Livingston
core   +1 more source

Sharp Bounds on Hankel Determinant of q-Starlike and q-Convex Functions Subordinate to Secant Hyperbolic Functions

open access: yesFractal and Fractional
In the present paper, using the q-difference operator, we introduce two classes of q-starlike functions and q-convex functions subordinate to secant hyperbolic functions. As functions in these classes have unique characteristic of missing coefficients on
Lifen Zhang, Zhigang Wang, Lei Shi
doaj   +1 more source

Integral representations of bounded starlike functions [PDF]

open access: yes, 1995
For α ≥ 0 let $ℱ_α$ denote the class of functions defined for |z| 0, and log(1/(1-xz)) if α = 0, against a complex measure on |x| = 1. We study families of starlike functions where zf'(z)/f(z) ranges over a parabola with given focus and vertex. We prove
Rønning, Frode
core  

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