Results 71 to 80 of about 1,183 (204)

Dimension-free quasiconformal distortion in 𝑛-space

, 1986
Most distortion theorems for K K -quasiconformal mappings in R n {{\mathbf {R}}^n} , n ⩾ 2 n \geqslant ...
M. Vuorinen, M. K. Vamanamurthy, G. D. Anderson   +2 more
core   +1 more source

On Certain Subclasses of Analytic Functions with Varying Arguments of Coefficients

Известия Иркутского государственного университета: Серия "Математика", 2018
In this paper we introduce and study the class$\ \mathcal{VR}_{\delta ,\eta }(n,\lambda ,\alpha )\ $of analytic functions with varying arguments of coefficients.
H. M. Zayed, M. K. Aouf, Maslina Darus
doaj   +1 more source

On a subclass of multivalent functions defined by generalized multiplier transformation

Open Mathematics
The objective of this study is to establish a novel category of multivalent analytic functions by utilizing generalized multiplier transformations. The subclass is further examined for coefficient estimations, growth and distortion theorems, extreme ...
Alharayzeh Ma’moun I. Y.
doaj   +1 more source

Spectral and distortion risk measures

, 2022
In this thesis we define risk measures as a way of quantifying the risk of an invest- ment and we formulate their essential properties, focusing mainly on coherency. Then we define the notions of admissible spectrum and spectral risk measures.
Kočandrle, Erik
core  

Some properties of two-fold symmetric analytic functions

Le Matematiche, 2014
In this paper, we introduce a new class of two-fold symmetric functions analytic in the unit disc. We prove such results as subordination and superordination properties, convolution properties, distortion theorems, and inequality properties of this new ...
Ali Muhammad, Qayyum Shah, Muhammad Ismail Mohmand   +2 more
doaj  

Upper and lower bounds of integral operator defined by the fractional hypergeometric function

Open Mathematics, 2015
In this article, we impose some studies with applications for generalized integral operators for normalized holomorphic functions. By using the further extension of the extended Gauss hypergeometric functions, new subclasses of analytic functions ...
Ibrahim Rabha W., Ahmad Muhammad Zaini, Al-Janaby Hiba F.   +2 more
doaj   +1 more source

Some Interesting Properties of a Novel Subclass of Multivalent Function with Positive Coefficients

Journal of Kufa for Mathematics and Computer, 2019
In this paper, we introduce a new class of multivalent functions defined by where is a subclass of analytic and multivalent functions in the open unit disc { | | }.
Waggas Galib Atshan, Aqeel AL-khafaji
doaj   +1 more source

New distortion theorems for functions of positive real part and applications to the partial sums of univalent convex functions

, 1974
New distortion theorems are obtained for the class of functions p ( z ) = 1 + c n z n +
S. D. Bernardi
core   +1 more source

Embedding distortion modeling for non-orthonormal wavelet based watermarking schemes [PDF]

, 2009
In this paper a universal embedding distortion model for wavelet based watermarking is presented. The present work extends our previous work on modelling embedding distortion for watermarking algorithms that use orthonormal wavelet kernels to non ...
Abhayaratne, C., Abhayaratne, Charith, Bhowmik, Deepayan, Bhowmik, D.   +3 more
core   +1 more source

Some Properties of Certain Multivalent Analytic Functions Involving the Cătas Operator

International Journal of Mathematics and Mathematical Sciences, 2011
We introduce a certain subclass of multivalent analytic functions by making use of the principle of subordination between these functions and Cătas operator.
E. A. Elrifai, H. E. Darwish, A. R. Ahmed   +2 more
doaj   +1 more source