Results 41 to 50 of about 11,578 (225)
On certain classes of close-to-convex functions
International Journal of Mathematics and Mathematical Sciences, 1993 A function f, analytic in the unit disk E and given by , f(z)=z+∑k=2∞anzk is said to be in the family Kn if and only if Dnf is close-to-convex, where Dnf=z(1−z)n+1∗f, n∈N0={0,1,2,…} and ∗ denotes the Hadamard product or convolution.
Khalida Inayat Noor
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Laplacian spectral determination of path-friendship graphs
AKCE International Journal of Graphs and Combinatorics, 2021 A graph G is said to be determined by the spectrum of its Laplacian matrix (DLS) if every graph with the same spectrum is isomorphic to G. In some recent papers it is proved that the friendship graphs and starlike trees are DLS. If a friendship graph and
Mohammad Reza Oboudi +3 more
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Properties of a Class of Analytic Functions Influenced by Multiplicative Calculus
Fractal and FractionalMotivated by the notion of multiplicative calculus, more precisely multiplicative derivatives, we used the concept of subordination to create a new class of starlike functions.
Kadhavoor R. Karthikeyan +1 more
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Second Hankel determinant for bi-starlike and bi-convex functions of order \b{eta}
, 2015 In the present investigation the authors obtain upper bounds for the second Hankel determinant of the classes bi-starlike and bi-convex functions of order beta.Comment: 8 pages, submitted to a ...
Deniz, Erhan +2 more
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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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International Journal of Mathematics and Mathematical Sciences, 1999 We investigate an expression involving the quotient of the analytic representations of convex and starlike functions. Sufficient conditions are found for functions to be starlike of a positive order and convex.
Herb Silverman
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Fourth Hankel Determinant for a Subclass of Starlike Functions Based on Modified Sigmoid
Journal of Function Spaces, 2021 In our present investigation, we obtain the improved third-order Hankel determinant for a class of starlike functions connected with modified sigmoid functions.
Wali Khan Mashwani +6 more
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Sufficient Conditions for Strong Starlikeness [PDF]
Bulletin of the Iranian Mathematical Society, 2020 Let $p$ be an analytic function defined on the open unit disc $\mathbb{D}$ with $p(0)=1$ and $0< \leq 1$. The conditions on complex valued functions $C$, $D$ and $E$ are obtained for $p$ to be subordinate to $((1+z)/(1-z))^ $ when $C(z) z^{2}p''(z)+D(z)zp'(z) + E(z)p(z)=0$.
Sharma, Kanika +2 more
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On Subclasses of Spiral‐Like Functions Defined by the q‐Derivative Operator
Journal of Function Spaces, Volume 2026, Issue 1, 2026.In 1990, Ismail et al. introduced a generalized class of starlike functions using the q‐derivative operator. Similarly, many authors have studied various subclasses of analytic functions involving the q‐derivative operator from different perspectives. This paper is aimed at presenting new subclasses of analytic and spiral‐like functions related to the ...
Fatma Z. El-Emam +2 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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