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On the starlikeness of p-valent functions
TURKISH JOURNAL OF MATHEMATICS, 2019 Summary: For an analytic function in open unit disk \(\mathbb{D}\), we consider the \(p\)-valent analogue of the Noshiro-Warschawski univalence condition. We apply the Fejér-Riesz inequality to establish some sufficient conditions for functions to be \(p\)-valent or to be a Bazilevič function or to be in some other classes.
Mamoru NUNOKAWA +3 more
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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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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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A certain class of starlike functions
Computers & Mathematics with Applications, 2011 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An upper bound to the second Hankel determinant for pre-starlike functions of order α
Le Matematiche, 2015 The objective of this paper is to obtain an upper bound to the second Hankel determinant for the function f and its inverse belonging to the class of pre-starlike functions of order alpha (0 ≤ alpha ≤ 1), using Toeplitz determinants.
Deekonda Vamshee Krishna, T. RamReddy
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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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q-Close-to-Convexity and Starlikeness of Rabotnov Function
AxiomsThe article derives sufficient conditions under which the normalized Rabotnov function becomes q-close-to-convex relative to specific starlike functions on the open unit disk.
Saddaf Noreen +4 more
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Formula for meromorphic symmetric differences operator with application in the theory of subordination inequality. [PDF]
Heliyon, 2023 Aldawish I.
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