Results 81 to 90 of about 5,274 (174)
a*-families of analytic functions
International Journal of Mathematics and Mathematical Sciences, 1984 Using convolutions, a new family of analytic functions is introduced. This family, called a*-family, serves in certain situations to unify the study of many previously well known classes of analytic functions like multivalent convex, starlike, close-to ...
G. P. Kapoor, A. K. Mishra
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On a subclass of Bazilevič functions
International 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
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On starlike harmonic functions
, 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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Starlike Hypergeometric Functions [PDF]
Proceedings of the American Mathematical Society, 1961 Merkes, E. P., Scott, W. T.
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New Properties of Analytic Functions
MathematicsIn 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
The 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
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Rocky 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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Starlike symmetrical functions
, 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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On p-Valently Meromorphic-Strongly Starlike and Convex Functions
International Journal of Analysis and Applications, 2016 In this paper, we obtain sufficient conditions for analytic function $f(z)$ in the punctured unit disk to be $p$-valently meromorphic-strongly starlike and $p$-valently meromorphic-strongly convex of order $\beta$ and type $\alpha$.
Rahim Kargar, Ali Ebadian, Janusz Sokol
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