Results 51 to 60 of about 1,163,094 (200)

High dimensional analogue of metric distortion for simplicial complexes [PDF]

arXiv, 2014
We suggest a new possible high dimensional analogue to metric distortion. We then show a possible method for providing lower bounds to this distortion and use this method to prove a "Bourgain-type" distortion theorem for Linial-Meshulam random complexes.
arxiv  

A distortion theorem for doubly connected regions

, 1970
In this paper we use a symmetrization result of Szego and a geometric lemma to generalize a distortion theorem of P6lya and Szeg6 for simply connected regions to doubly connected regions.
M. Parnes
semanticscholar   +1 more source

Distortion and covering theorems of pluriharmonic mappings [PDF]

arXiv, 2014
In this paper, we mainly investigate distortion and covering theorems on some classes of pluriharmonic mappings.
arxiv  

A Variational Theory for Biunivalent Holomorphic Functions

Axioms
Biunivalent holomorphic functions form an interesting class in geometric function theory and are connected with special functions and solutions of complex differential equations.
Samuel L. Krushkal
doaj   +1 more source

A few results on generalized Janowski type functions associated with (j, k)-symmetrical functions

Acta Universitatis Sapientiae: Mathematica, 2016
The aim of the present article is to introduce and study new subclass of Janowski type functions defined using notions of Janowski functions and (j, k)-symmetrical functions.
Al Sarari F. S. M., Frasin B. A., Al-Hawary T., Latha S.   +3 more
doaj   +1 more source

Applications of Some Generalized Janowski Meromorphic Multivalent Functions

Journal of Mathematics, 2021
In this article, the ideas of post-quantum calculus and meromorphic multivalent functions are combined and some applications of these functions are discussed.
Bakhtiar Ahmad, Muhammad Ghaffar Khan, Maslina Darus, Wali Khan Mashwani, Muhammad Arif   +4 more
doaj   +1 more source

Coding into a source: a direct inverse Rate-Distortion theorem [PDF]

arXiv, 2006
Shannon proved that if we can transmit bits reliably at rates larger than the rate distortion function $R(D)$, then we can transmit this source to within a distortion $D$. We answer the converse question ``If we can transmit a source to within a distortion $D$, can we transmit bits reliably at rates less than the rate distortion function?'' in the ...
arxiv  

Some properties of a class of holomorphic functions associated with tangent function

Demonstratio Mathematica
In this study, we define new class of holomorphic functions associated with tangent function. Furthermore, we examine the differential subordination implementation results related to Janowski and tangent functions. Also, we investigate some extreme point
Khan Muhammad Ghaffar, Mashwani Wali Khan, Salleh Zabidin, Tchier Fairouz, Khan Bilal, Malik Sarfraz Nawaz   +5 more
doaj   +1 more source

A CLASS OF HARMONIC p𝑝, 𝑞q-STARLIKE FUNCTIONS INVOLVING A GENERALIZED p𝑝, 𝑞q-BERNARDI INTEGRAL OPERATOR

Проблемы анализа, 2023
With the aid of 𝑞-calculus, this paper introduces a new generalized p𝑝, 𝑞q-Bernardi integral operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q. Then, we define a new subclass of harmonic p𝑝, 𝑞q-starlike functions of complex order associated with the operator ℬ^𝑝 𝑛,𝑞𝑓p𝑧q.
S. H. Hadi, M. Darus
doaj  

On a new class of p-valent functions with negative coefficients defined by convolution

Le Matematiche, 2015
In this paper, we introduce a new class of analytic p-valent functions defined in the open unit disc by using convolution and obtain some results including coefficient inequality, distortion theorems, Hadamard products, radii of starlikeness and ...
M. K. Aouf, A. O. Mostafa, A. Y. Lashin, B. M. Munassar   +3 more
doaj