Higher order difference operators and uniqueness of meromorphic functions

2021 ◽  
Vol 11 (2) ◽  
Author(s):  
Mingliang Fang ◽  
Yuefei Wang
Keyword(s):  
Meromorphic Functions ◽  
Higher Order ◽  
Difference Operators ◽  
Order Difference

scholarly journals An infinite family of higher-order difference operators that commute with Ruijsenaars operators of type A

2021 ◽  
Vol 111 (4) ◽  
Author(s):  
Masatoshi Noumi ◽  
Ayako Sano
Keyword(s):  
Infinite Family ◽  
Type A ◽  
Higher Order ◽  
Difference Operators ◽  
Order Difference

AbstractWe introduce a new infinite family of higher-order difference operators that commute with the elliptic Ruijsenaars difference operators of type A. These operators are related to Ruijsenaars’ operators through a formula of Wronski type.

scholarly journals Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts

2019 ◽  
Vol 17 (1) ◽  
pp. 677-688 ◽  
Author(s):  
Hai-Ying Chen ◽  
Xiu-Min Zheng
Keyword(s):  
Fixed Points ◽  
Meromorphic Functions ◽  
Higher Order ◽  
Order Difference ◽  
First Order ◽  
Special Points ◽  
And Shifts

Abstract In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift. Concretely, some estimates on the order and the exponents of convergence of special points of meromorphic functions and their differences and shifts are obtained.

scholarly journals On non-isotropic homogeneous Lipschitz spaces

1989 ◽  
Vol 47 (2) ◽  
pp. 240-255
Author(s):  
Stefano Meda
Keyword(s):  
Euclidean Space ◽  
Higher Order ◽  
Difference Operators ◽  
Lipschitz Spaces ◽  
Order Difference

AbstractWe prove that in a non-isotropic Euclidean space, homogeneous Lipschitz spaces of distributions, defined in terms of (generalized) Weierstrass integrals, can be characterized by means of higher order difference operators.

Spectral theory of higher order difference operators

2013 ◽  
Vol 19 (12) ◽  
pp. 1983-2028 ◽  
Author(s):  
Horst Behncke ◽  
Fredrick Oluoch Nyamwala
Keyword(s):  
Spectral Theory ◽  
Higher Order ◽  
Difference Operators ◽  
Order Difference

scholarly journals Explicit inverse of near Toeplitz pentadiagonal matrices related to higher order difference operators

2021 ◽  
Vol 11 ◽  
pp. 100164
Author(s):  
Bakytzhan Kurmanbek ◽  
Yogi Erlangga ◽  
Yerlan Amanbek
Keyword(s):  
Higher Order ◽  
Difference Operators ◽  
Order Difference

Spectral analysis of operator polynomials and higher-order difference operators

2017 ◽  
Vol 101 (3-4) ◽  
pp. 391-405
Author(s):  
A. G. Baskakov ◽  
V. D. Kharitonov
Keyword(s):  
Spectral Analysis ◽  
Higher Order ◽  
Difference Operators ◽  
Order Difference

scholarly journals Symmetries and Solvability of a Class of Higher Order Systems of Ordinary Difference Equations

Symmetry ◽  
2022 ◽  
Vol 14 (1) ◽  
pp. 108
Author(s):  
Kgatliso Mkhwanazi ◽  
Mensah Folly-Gbetoula
Keyword(s):  
Difference Equations ◽  
Variable Coefficients ◽  
Higher Order ◽  
Order Difference

We perform Lie analysis for a system of higher order difference equations with variable coefficients and derive non-trivial symmetries. We use these symmetries to find exact formulas for the solutions in terms of k. Furthermore, a detailed study for a specific value of k is presented. Our findings generalize some results in the literature.

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