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By using a comparison method and some difference inequalities we show that the following higher order difference equation x n + k = 1 f ( x n + k − 1 , … , x n ) , n ∈ N , $$ x_{n+k}=\frac{1}{f(x_{n+k-1},\ldots ,x_{n})},\quad n\in{\mathbb{N}},$$ where k ∈
Stevo Stević +3 more
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BASIC DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
It is shown that there are the differential operators that transform three-dimensional homogeneous harmonic functions into new three-dimensional homogeneous harmonic functions.
Berdnikov Alexander +3 more
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Solution for a System of First-Order Linear Fuzzy Boundary Value Problems
In this paper, we consider homogeneous and non-homogeneous system of first order linear fuzzy boundary value problems (SFOLBVPs) under granular differentiability.
S. Nagalakshmi +2 more
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About a function that allows calculation of all symmetric homogeneous bivariate means [PDF]
In this paper we define a function that allows us to calculate all symmetric homogeneous bivariate means. We also provide examples for this function in case of 17 means.
Mart Abel, Raido Marmor
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DONKIN'S DIFFERENTIAL OPERATORS FOR HOMOGENEOUS HARMONIC FUNCTIONS
The work continues the study of Donkin operators for homogeneous harmonic functions. Previously, a basic list of such first-order operators for three-dimensional harmonic functions was obtained.
Berdnikov Alexander +3 more
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GENERALIZATION OF THE THOMSON FORMULA FOR HOMOGENEOUS HARMONIC FUNCTIONS
It is shown that the Thomson formula for three-dimensional harmonic homogeneous functions can be generalized if, instead of purely algebraic linear expressions, one uses a linear algebraic form with the participation of the first order partial ...
Berdnikov Alexander +3 more
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zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chengxin Qu +2 more
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Truncated homogeneous symmetric functions [PDF]
Extending the elementary and complete homogeneous symmetric functions, we introduce the truncated homogeneous symmetric function $h_λ^{\dd}$ in $(\ref{THSF})$ for any integer partition $λ$, and show that the transition matrix from $h_λ^{\dd}$ to the power sum symmetric functions $p_λ$ is given by \[M(h^{\dd},p)=M'(p,m)z^{-1}D^{\dd},\] where $D^{\dd ...
Houshan Fu, Zhousheng Mei
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Homogeneous Beta-type functions [PDF]
All beta-type functions, which are p-homogeneous, are determined. Applying this result, we show that a beta-type function is a homogeneous mean iff it is the harmonic one. A reformulation of a result due to Heuvers in terms of a Cauchy difference and the harmonic mean is given.
Himmel, Martin, Matkowski, Janusz
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The homogeneous transform program is a function used to calculate the homogeneous transformation matrix at a specific position and orientation of a three-link manipulator.
Ruben Cornelius Siagian +2 more
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