Results 11 to 20 of about 119,900,729 (129)
A modified criterion of boundedness of L-index in direction [PDF]
Математичні Студії, 2013 A new criterion of boundedness of L-index in direction is obtained.
A. I. Bandura
doaj +3 more sources
Sum of entire functions of bounded L-index in direction
Matematychni Studii, 2016 Andriy Bandura
exaly +2 more sources
Entire function of bounded $L$-index in direction
Matematychni Studii, 2007 A I Bandura, O B Skaskiv
exaly +2 more sources
Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
A. I. Bandura, T. M. Salo, O. B. Skaskiv
doaj +1 more source
Entire functions of bounded index in frame
Математичні Студії, 2020 We introduce a concept of entire functions having bounded index in a variable direction, i.e. in a frame. An entire function $F\colon\ \mathbb{C}^n\to \mathbb{C}$ is called a function of bounded frame index in a frame $\mathbf{b}(z)$, if~there exists ...
A.I. Bandura
doaj +1 more source
Математичні Студії, 2022 Let $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ be a fixed direction. We consider slice holomorphic functions of several complex variables in the unit ball, i.e. we study functions which are analytic in intersection of every slice $\{z^0+t\mathbf{
V.P. Baksa, A. I. Bandura, T.M. Salo
doaj +1 more source
Note on boundedness of the $L$-index in the direction of the composition of slice entire functions
Математичні Студії, 2022 We study a composition of two functions belonging to a class of slice holomorphic functions in the whole $n$-dimensional complex space. The slice holomorphy in the space means that for some fixed direction $\mathbf{b}\in\mathbb{C}^n\setminus\{\mathbf{0}\
V. P. Baksa +3 more
doaj +1 more source
Free bounded archimedean l -algebras [PDF]
, 2021 We show that free objects on sets do not exist in the category bal of bounded archimedean l-algebras. On the other hand, we introduce the category of weighted sets and prove that free objects on weighted sets do exist in bal.
Bezhanishvili G. +2 more
core +1 more source
Karpatsʹkì Matematičnì Publìkacìï, 2019 We partially reinforce some criteria of $L$-index boundedness in direction for functions analytic in the unit ball. These results describe local behavior of directional derivatives on the circle, estimates of maximum modulus, minimum modulus of analytic ...
A.I. Bandura
doaj +1 more source
A Bounded Index for Cluster Validity [PDF]
, 2008 . Clustering is one of the most well known types of unsupervised learning. Evaluating the quality of results and determining the number of clusters in data is an important issue.
Benny Raphael +5 more
core +2 more sources