Results 41 to 50 of about 102,266 (189)

New classification of analytic functions with negative coefficients

International Journal of Mathematics and Mathematical Sciences, 1988
New classification of analytic functions with negative coefficients is given by using the coefficients inequality, that is, new subclass A(p,n,Bk) of analytic functions with negative coefficient is defined.
Shigeyoshi Owa, Milutin Obradovic
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CERTAIN SUBCLASSES OF MEROMORPHICALLY P-VALENT FUNCTIONS WITH POSITVE OR NEGATIVE COEFICIENTS USING DIFFERENTIAL OPERATOR

Tikrit Journal of Pure Science, 2023
In this paper, we have introduced two subclasses  and  of meromorphically p-valent functions with positive and negative coefficients, defined by differential operator in the punctured unit disk  and obtain some sharp results including coefficient ...
Hazha Zirar Hussain
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Average distortion embeddings, nonlinear spectral gaps, and a metric John theorem (after Assaf Naor) [PDF]

, 2022
Alexandros Eskenazis
openalex   +1 more source

Modular Equations and Distortion Functions

, 2007
Modular equations occur in number theory, but it is less known that such equations also occur in the study of deformation properties of quasiconformal mappings.
B.C. Berndt, B.C. Berndt, C.-Q. He, D. Partyka, D. Partyka, E.T. Whittaker, F. Bowman, G. D. Anderson, G. Martin, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, G.D. Anderson, J. Hempel, J. Hersch, J. Jenkins, J. Väisälä, J. Väisälä, J. Zaja̧c, J.M. Borwein, M. Vuorinen, M. Vuorinen, M. Vuorinen, M.K. Vamanamurthy, O. Lehto, O. Lehto, P. Seittenranta, P. Tukia, P.F. Byrd, P.P. Belinskii, S. Agard, S. Agard, S. Yamashita, S. Zhang, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, S.-L. Qiu, W.K. Hayman, W.K. Hayman, Z. Li   +45 more
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Generalization of certain subclasses of analytic functions

International Journal of Mathematics and Mathematical Sciences, 1987
We introduce the subclass Tj(n,m,α) of analytic functions with negative coefficients by the operator Dn. Coefficient inequalities and distortion theorems of functions in Tj(n,m,α) are determind.
Tadayuki Sekine
doaj   +1 more source

Information-Theoretic Characterization and Undersampling Ratio Determination for Compressive Radar Imaging in a Simulated Environment

Entropy, 2015
Assuming sparsity or compressibility of the underlying signals, compressed sensing or compressive sampling (CS) exploits the informational efficiency of under-sampled measurements for increased efficiency yet acceptable accuracy in information gathering,
Jingxiong Zhang, Ke Yang, Fengzhu Liu, Ying Zhang   +3 more
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Density Functional Theory for the Study of the Multimode Jahn-Teller Effect

CHIMIA, 2010
The Jahn-Teller (JT) theorem states that in a molecule with a degenerate electronic state, a structural distortion must occur that lowers the symmetry, removes the degeneracy and lowers the energy.
Matija Zlatar, Maja Gruden-Pavlović, Carl-Wilhelm Schläpfer, Claude Daul   +3 more
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Bourgain's discretization theorem [PDF]

, 2015
Bourgain's discretization theorem asserts that there exists a universal constant $C\in (0,\infty)$ with the following property. Let $X,Y$ be Banach spaces with $\dim X=n$. Fix $D\in (1,\infty)$ and set $\delta= e^{-n^{Cn}}$. Assume that $\mathcal N$ is a
Giladi, Ohad, Naor, Assaf, Schechtman, Gideon   +2 more
core  

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

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