Results 51 to 60 of about 16,584 (269)
On the properties of a class of polyharmonic functions
Mathematical Modelling and Analysis, 2013 The aim of this paper is to investigate some motivated geometrical aspects and properties of polyharmonic functions (PH) including starlikeness, convexity and univalence. A polyharmonicity preserving complex operator is also introduced.
Suheil Khuri
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Applied Mathematics Letters, 2001 AbstractLet m(G,k) be the number of k-matchings in the graph G. We write G1 ⪯ G2 if m(G1, k) ≤ m(G2, k) for all k = 1, 2,…. A tree is said to be starlike if it possesses exactly one vertex of degree greater than two. The relation T1 ⪯ T2 is shown to hold for various pairs of starlike trees T1, T2.
Ivan Gutman, Oswaldo Araujo, Juan Rada
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On a generalization of starlike functions [PDF]
Indagationes Mathematicae, 2021 12 pages.
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On the Hadwiger numbers of starlike disks [PDF]
, 2011 The Hadwiger number $H(J)$ of a topological disk $J$ in $\Re^2$ is the maximal number of pairwise nonoverlapping translates of $J$ that touch $J$. It is well known that for a convex disk, this number is six or eight. A conjecture of A. Bezdek., K. and W.
Bezdek +13 more
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Bounds for the Second Hankel Determinant of Certain Univalent Functions
, 2013 The estimates for the second Hankel determinant a_2a_4-a_3^2 of analytic function f(z)=z+a_2 z^2+a_3 z^3+...b for which either zf'(z)/f(z) or 1+zf"(z)/f'(z) is subordinate to certain analytic function are investigated.
Keong, Lee See +2 more
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Radius of Starlikeness of Convex Combinations of Univalent Starlike Functions [PDF]
Proceedings of the American Mathematical Society, 1980 The radius of starlikeness of the convex combination \[ t f ( z ) + ( 1 − t ) g ( z ) , 0 > t > 1 , tf(z) + (1 - t)g(z),\quad 0 > t > 1, \] where f ( z
P. D. Tuan, D. H. Hamilton
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, 2015 A generalized model of starlike network is suggested that takes into account non-additive coupling and nonlinear transformation of coupling variables. For this model a method of analysis of synchronized cluster stability is developed.
Kuptsov, Pavel V., Kuptsova, Anna V.
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Mathematics, 2019 By using a certain general conic domain as well as the quantum (or q-) calculus, here we define and investigate a new subclass of normalized analytic and starlike functions in the open unit disk U .
H. Srivastava +4 more
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, 2021 In this article we define a class of starlike functions with respect to symmetric points in the domain of sine function. Also, we investigate coefficients bounds and upper bounds for the third order Hankel determinant for this defined class.
Muhammad Ghaffar Khan +6 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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