Results 101 to 110 of about 7,296 (239)

On starlike harmonic functions

open access: yes, 2019
Uniformly starlike univalent functions introduced by Goodman and we develop this idea over harmonic functions. We introduce a subclass of harmonic univalent functions which are fully starlike and uniformly starlike also. In the following we will mention some examples of this subclass and obtain two necessary and sufficient conditions, one with the ...
NOSRATİ, S., ZİREH, A.
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On a subclass of Bazilevič functions

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 1985
Let B(α) be the class of normalised Bazilevič functions of type α>0 with respect to the starlike function g. Let B1(α) be the subclass of B(α) when g(z)≡z. Distortion theorems and coefficient estimates are obtained for functions belonging to B1(α).
D. K. Thomas
doaj   +1 more source

Starlike Hypergeometric Functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1961
Merkes, E. P., Scott, W. T.
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New Properties of Analytic Functions

open access: yesMathematics
In the present paper, we consider the class A¯ of functions f(z) of the form f(z)=z+∑k=1∞a1+k3z1+k3 that are analytic in the open unit disc U. If a1+k3=0 for k≠3n(n=1,2,3,⋯), then f(z) is given by f(z)=z+∑k=2∞akzk.
Hatun Özlem Güney, Shigeyoshi Owa
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On a New Class of p-Valent Meromorphic Functions Defined in Conic Domains

open access: yesThe Scientific World Journal, 2016
We define a new class of multivalent meromorphic functions using the generalised hypergeometric function. We derived this class related to conic domain.
Mohammed Ali Alamri, Maslina Darus
doaj   +1 more source

A Class of Starlike Functions

open access: yesRocky Mountain Journal of Mathematics, 1993
Let \(S^*\) be the usual class of starlike functions, i.e. \(f(z)\) of the form \(z+a_ 2 z^ 2\dots\) which are analytic and univalent in the unit disc \(U\) and which map \(U\) onto a domain starshaped with respect to the origin.
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On starlike functions [PDF]

open access: yesProceedings of the American Mathematical Society, 1970
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Starlike symmetrical functions

open access: yes, 2020
The objective of the present paper is to study subclass S ? ?? ?? (A, B) of analytic functions that is defined by using the class of Janowski functions combined with the (j, k)-symmetrical functions. This class generalizes various classes defined by different authors. Distortion theorem, argument theorem, covering theorem,and convolution condition are
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