Results 81 to 90 of about 3,137 (178)
Certain Geometric Properties of Lommel and Hyper-Bessel Functions
Mathematics, 2019 In this article, we are mainly interested in finding the sufficient conditions under which Lommel functions and hyper-Bessel functions are close-to-convex with respect to the certain starlike functions.
Saima Mushtaq, Mohsan Raza, Muhey U Din
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Starlike and Convexity Properties for Hypergeometric Functions
Journal of Mathematical Analysis and Applications, 1993 Let \(F(a,b;c;z)\) denote the classical hypergeometric function. The author derives conditions for \(zF(a,b;c;z)\) to belong to various subclasses of the class of holomorphic functions univalent in the unit disk. As a further reference on these problems the reader may compare: \textit{S. S. Miller} and \textit{P. T.
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Relations of Harmonic Starlike Function Subclasses with Mittag–Leffler Function
AxiomsIn this study, the connection between certain subfamilies of harmonic univalent functions is established by utilizing a convolution operator involving the Mittag–Leffler function.
Naci Taşar +3 more
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On convex functions of order α and type β
International Journal of Mathematics and Mathematical Sciences, 1988 Owa [1] gave three subordination theorems for convex functions of order α and starlike functions of order α. Unfortunately, none of the theorems is correct. In this paper, similar problems are discussed for a generalized class and sharp results are given.
Wancang Ma
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Certain Subclasses of β-Uniformly q-Starlike and β-Uniformly q-Convex Functions
Journal of Function Spaces, 2020 In this paper, the authors introduced certain subclasses β-uniformly q-starlike and β-uniformly q-convex functions of order α involving the q-derivative operator defined in the open unit disc. Coefficient bounds were also investigated.
Eman S. A. AbuJarad +3 more
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Neighborhoods of Starlike and Convex Functions Associated with Parabola
Journal of Inequalities and Applications, 2008 Let f be a normalized analytic function defined on the unit disk and fλ(z):=(1−λ)z+λf(z) for 00, a function f∈ðÂ’®ðÂ’«(α,λ) if zf′(z)/fλ(z) lies in the parabolic region Ω:={w:|w−α|0, the ÃŽÂ ...
Om P. Ahuja +3 more
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ON STARLIKENESS AND CONVEXITY OF CERTAIN ANALYTIC FUNCTIONS
Demonstratio Mathematica, 1985 Let N be the class of normalized regular functions \[ f(z)=z+\sum^{\infty}_{k=2}a_ kz^ k,\quad | z| 0. \] Since the hypothesis \(| \frac{f}{\lambda f+(1-\lambda)g}-r| \frac{2r-1}{(1-\lambda)r})\) the results obtained generalize the results due to Anh and Tuan stated above for the class \(\lambda \).
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Convex and starlike meromorphic functions [PDF]
Proceedings of the American Mathematical Society, 1980 In this paper we study meromorphic univalent functions with a simple pole at p which map the unit disk onto the exterior of convex sets or the exterior of starlike sets. A question raised by Libera and Livingston concerning the equality of two classes of starlike meromorphic univalent ...
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Certain Bound for q-Starlike and q-Convex Functions with respect to Symmetric Points
International Journal of Mathematics and Mathematical Sciences, 2015 The aim of this paper is to establish the coefficient estimates for the subclasses of q-starlike and q-convex functions with respect to symmetric points involving q-difference operator.
C. Ramachandran +2 more
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Bounded Doubly Close-to-Convex Functions
Abstract and Applied Analysis, 2014 We consider a new class CC(α,β) of bounded doubly close-to-convex functions. Coefficient bounds, distortion theorems, and radius of convexity for the class CC(α,β) are investigated.
Dorina Răducanu
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