Results 31 to 40 of about 3,329 (222)

Coefficient estimates for some classes of p-valent functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1988
Let Ap, where p is a positive integer, denote the class of functions f(z)=zp+∑n=p+1anzn which are analytic in U={z:|z|
M. K. Aouf
doaj   +1 more source

ON A CRITERION FOR MULTIVALENTLY STARLIKENESS [PDF]

open access: yesTaiwanese Journal of Mathematics, 1997
Let \(S(p)\) be the class of functions \(f:f(z)= z^p+ \sum^\infty_{n=p+1} a_nz^n\) analytic in the unit disc \(E\) and satisfying \(\text{Re} {zf'(z) \over f(z)} >0\) for \(z\in E\). \(f\in S(p)\) is called a \(p\)-valently starlike function in \(E\). In this paper a counter example is given to show that the main theorem of [\textit{M.
openaire   +3 more sources

Hermitian-Toeplitz determinants and some coefficient functionals for the starlike functions

open access: yes, 2023
summary:In this paper, we have determined the sharp lower and upper bounds on the fourth-order Hermitian-Toeplitz determinant for starlike functions with real coefficients.
Kumar, Virendra   +2 more
core   +1 more source

On certain classes of close-to-convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1993
A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
doaj   +1 more source

On radii of starlikeness and convexity for convolutions of starlike functions [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1995
In this paper, we obtain the radiuses of univalence, starlikeness and convexity for convolutions of starlike functions.
Yi Ling, Shusen Ding
openaire   +2 more sources

A unified representation of some starlike and convex harmonic functions with negative coefficients [PDF]

open access: yesOpuscula Mathematica, 2013
In this paper we introduce a unified representation of starlike and convex harmonic functions with negative coefficients, related to uniformly starlike and uniformly convex analytic functions.
R. M. El-Ashwah   +3 more
doaj   +1 more source

Subclasses of close-to-convex functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1983
Let 𝒦[C,D], −1 ...
E. M. Silvia
doaj   +1 more source

A New Measure of Quantum Starlike Functions Connected with Julia Functions

open access: yesJournal of Function Spaces, 2022
In a complex domain, the investigation of the quantum differential subordinations for starlike functions is newly considered by few research studies. In this note, we arrange a set of necessary conditions utilizing the concept of the quantum differential
Samir B. Hadid   +2 more
doaj   +1 more source

Palindromes in starlike trees [PDF]

open access: yesCoRR, 2018
5 ...
Glen, A., Simpson, J., Smyth, W.F.
openaire   +3 more sources

Integral operator and starlike functions

open access: yes, 2002
We define a class of univalent starlike functions and consider the following integral operator: It is well known that, if ƒ is starlike, then F is also starlike.
Oros, G.
core   +1 more source

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