Results 121 to 130 of about 1,124,842 (323)
A distortion theorem and the Bloch constant for Bloch mappings in ℂN
H. Hamada
semanticscholar +2 more sources
Human flaws and logical tools in engineering
Abstract This paper explores the limitations of human cognition, especially in engineering research, emphasizing the need for mathematical models and methods to guide decision‐making and theory validation. While human cognition excels in certain tasks, it is prone to biases that can distort our understanding.
André C. R. Martins
wiley +1 more source
On new subclass of meromorphically convex functions with positive coefficients [PDF]
In this paper we introduce and study a new subclass of meromorphically uniformly convex functions with positive coefficients defined by a differential operator and obtain coefficient estimates, growth and distortion theorem, radius of convexity, integral
B. Venkateswarlu +2 more
doaj
On Janowski functions associated with (n,m)-symmetrical functions
The aim in the present work is to introduce and study new subclasses of analytic functions that are defined by using the generalized classes of Janowski functions combined with the $(n,m) $-symmetrical functions, that generalize many others defined by ...
Fuad Alsarari+2 more
doaj +1 more source
First‐order Sobolev spaces, self‐similar energies and energy measures on the Sierpiński carpet
Abstract For any p∈(1,∞)$p \in (1,\infty)$, we construct p$p$‐energies and the corresponding p$p$‐energy measures on the Sierpiński carpet. A salient feature of our Sobolev space is the self‐similarity of energy. An important motivation for the construction of self‐similar energy and energy measures is to determine whether or not the Ahlfors regular ...
Mathav Murugan, Ryosuke Shimizu
wiley +1 more source
Abstract We consider the global dynamics of finite energy solutions to energy‐critical equivariant harmonic map heat flow (HMHF) and radial nonlinear heat equation (NLH). It is known that any finite energy equivariant solutions to (HMHF) decompose into finitely many harmonic maps (bubbles) separated by scales and a body map, as approaching to the ...
Kihyun Kim, Frank Merle
wiley +1 more source
A Subclass of Analytic Functions Related to k-Uniformly Convex and Starlike Functions
We investigate some subclasses of k-uniformly convex and k-uniformly starlike functions in open unit disc, which is generalization of class of convex and starlike functions.
Saqib Hussain+3 more
doaj +1 more source
Abstract We consider a planar Coulomb gas ensemble of size N$N$ with the inverse temperature β=2$\beta =2$ and external potential Q(z)=|z|2−2clog|z−a|$Q(z)=|z|^2-2c \log |z-a|$, where c>0$c>0$ and a∈C$a \in \mathbb {C}$. Equivalently, this model can be realised as N$N$ eigenvalues of the complex Ginibre matrix of size (c+1)N×(c+1)N$(c+1) N \times (c+1)
Sung‐Soo Byun+2 more
wiley +1 more source
A study on certain class of harmonic functions of complex order associated with convolution
In this paper, we introduce a new class of harmonic functions of complex order associated with convolution. We also derive the coefficient inequality, distortion theorem, extreme points, convolution conditions and convex combination for this class.
M. K. Aouf+3 more
doaj
Convex functions and the rolling circle criterion
Given 0≤R1≤R2≤∞, CVG(R1,R2) denotes the class of normalized convex functions f in the unit disc U, for which ∂f(U) satisfies a Blaschke Rolling Circles Criterion with radii R1 and R2.
V. Srinivas, O. P. Juneja, G. P. Kapoor
doaj +1 more source