Results 31 to 40 of about 5,145,916 (216)
Briot–Bouquet Differential Subordinations for Analytic Functions Involving the Struve Function
Fractal and Fractional, 2022 We define a new class of exponential starlike functions constructed by a linear operator involving normalized form of the generalized Struve function. Making use of a technique of differential subordination introduced by Miller and Mocanu, we investigate
Asena Çetinkaya +1 more
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On Janowski Starlike Functions [PDF]
Journal of Inequalities and Applications, 2007 Applying the fractional calculus to analytic functions \(f(z)\) defined on the open unit disc \(U\) with \(f(0)=0\) and \(f^\prime(0)=1\) [cf. \textit{W. Janowski}, Bull. Acad. Pol. Sci., Sér. Sci. Math. Astron. Phys. 21, 17--25 (1973; Zbl 0252.30021)], the authors introduce a new fractional operator \(D^\lambda f(z)\) and define a subclass of the ...
Çağlar, Mert +4 more
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Proceedings of the American Mathematical Society, 1985 The authors show that for normalized odd starlike functions f(z) \[ Re(f(z)/S_ n(z,f))>,\quad | z|
Singh, Ram, Puri, Sangita
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The Booth Lemniscate Starlikeness Radius for Janowski Starlike Functions
Bulletin of the Malaysian Mathematical Sciences Society, 2022 The function $G_\alpha(z)=1+ z/(1-\alpha z^2)$, \, $0\leq \alpha <1$, maps the open unit disc $\mathbb{D}$ onto the interior of a domain known as the Booth lemniscate. Associated with this function $G_\alpha$ is the recently introduced class $\mathcal{BS}(\alpha)$ consisting of normalized analytic functions $f$ on $\mathbb{D}$ satisfying the ...
Somya Malik +2 more
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Convex and starlike criteria [PDF]
, 1999 We investigate an expression involving the quotient of the analytic representations of convex and starlike functions.
Chaurasia, V. B. L. +2 more
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Analytic Functions Related with Starlikeness [PDF]
Mathematical Problems in Engineering, 2021 The aim of present investigation is to study a new class of analytic function related with the Sokol-Nunokawa class. We derived relationships of this class with strongly starlike functions and obtained many interesting results.
Syed Ghoos Ali Shah +5 more
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Wasit Journal for Pure Sciences, 2023 Recently, several of the generalizations Koebe function are introduced and investigated. In this study, a linear complex operator is investigated in terms of the generalized Koebe function and Wright function.
Anwar H. Moureh, Hiba F. Al-Janaby
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Bulletin of the Australian Mathematical Society, 1980 Let S denote the class of functions f analytic and univalent in the open disc {z: |z| < 1} and normalized by f(0) = 0 = f′(0) − 1, and S*(α) denote the set of starlike functions of order α (0 ≤ α ≤ 1) in S. In this paper, the results of William M. Causey and William L. White [J. Math. Anal. Appl.
Gupta, V. P., Ahmad, Iqbal
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Convex and Starlike Functions Defined on the Subclass of the Class of the Univalent Functions $S$ with Order $2^{-r}$ [PDF]
Sahand Communications in Mathematical Analysis, 2022 In this paper, some conditions have been improved so that the function $g(z)$ is defined as $g(z)=1+\sum_{k\ge 2}^{\infty}a_{n+k}z^{n+k}$, which is analytic in unit disk $U$, can be in more specific subclasses of the $S$ class, which is the most ...
İsmet Yıldız +2 more
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