Results 31 to 40 of about 2,859 (232)
Further Geometric Properties of the Barnes–Mittag-Leffler Function
Axioms, 2023 In this paper, we find sufficient conditions to be imposed on the parameters of a class of functions related to the Barnes–Mittag-Leffler function that allow us to conclude that it possesses certain geometric properties (such as starlikeness, uniformly ...
Abdulaziz Alenazi, Khaled Mehrez
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Bohr Radius Problems for Some Classes of Analytic Functions Using Quantum Calculus Approach
Mathematics, 2020 The main purpose of this investigation is to use quantum calculus approach and obtain the Bohr radius for the class of q-starlike (q-convex) functions of order α . The Bohr radius is also determined for a generalized class of q-Janowski starlike and
Om Ahuja, Swati Anand, Naveen Kumar Jain
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Multivalent Harmonic Uniformly Starlike Functions [PDF]
Kyungpook mathematical journal, 2009 Summary: We investigate a family of generalized complex-valued harmonic functions that are multivalent, sense-preserving, and which are associated with \(k\)-uniformly harmonic functions in the unit disk. The obtained results include a number of known and new results as special cases.
Ahuja, Om +2 more
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A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions
Journal of Function Spaces, 2017 We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions.
Saqib Hussain +3 more
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Droplet friction on superhydrophobic surfaces
Droplet, EarlyView.By developing an experimental setup that simultaneously measures the friction force, macroscopic shape profile, and the macro‐ and microscopic contact line dynamics of a laterally sliding droplet, this study establishes an analytical model that predicts droplet friction on pillared superhydrophobic surfaces relying only on surface geometrical ...
Youhua Jiang, Chuanqi Wei
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A subclass of strongly starlike functions [PDF]
ریاضی و جامعهLet's denote $\mathcal{S}^{\ast}(f_c)$ as a family of analytic functions $f(z)=z+a_2z^2+a_3z^3+\cdots$ in the open unit disk $\mathbb{D}$ that satisfy the following relation for $c\in (0,1)$:$$\frac{zf'(z)}{f(z)}\prec f_c(z)=\frac{1}{\sqrt{1-cz}}, \quad ...
Vali Soltani Masih
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q-STARLIKE FUNCTIONS OF ORDER ALPHA
TWMS Journal of Applied and Engineering Mathematics, 2018 Summary: For all \(q\in(0,1)\) and \(0\leq ...
Uçar, Faruk +2 more
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Toeplitz Determinants for Inverse of Analytic Functions
MathematicsEstimates bounds for Carathéodory functions in the complex domain are applied to demonstrate sharp limits for the inverse of analytic functions. Determining these values is considered a more difficult task compared to finding the values of analytic ...
Sarem H. Hadi +4 more
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Integral Means and Arc length of Starlike Log-harmonic Mappings
Abstract and Applied Analysis, 2011 We use star functions to determine the integral means for starlike log-harmonic mappings. Moreover, we include the upper bound for the arc length of starlike log-harmonic mappings.
Z. Abdulhadi, Y. Abu Muhanna
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Study of (p, q)‐Symmetric Starlike Functions of Order η
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In the field of geometric function theory, we use the (p, q)‐differential operator in the complex unit disk to describe a novel class Sp,q∗∗η of symmetrical starlike functions of order η. Several interesting properties of functions belonging to the class Sp,q∗∗η are examined, such as growth, distortion, and convolution characteristics.
Imran Khan +4 more
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