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Published in 2020 at "Integral Transforms and Special Functions"
DOI: 10.1080/10652469.2020.1763984
Abstract: ABSTRACT A polynomial sequence is symmetric, or self-dual, if for all . In this paper, we give the characterization of the exponential symmetric Sheffer sequences with weight sequences, and show that all the symmetric Sheffer…
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Keywords:
characterization exponential;
symmetric sheffer;
polynomial sequence;
sheffer sequences ... See more keywords
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Published in 2022 at "Symmetry"
DOI: 10.3390/sym14122474
Abstract: We examine the unboundedness, persistence, boundedness, uniqueness, and existence of non-negative equilibrium of an exponential symmetric difference equations system: Ωn+1=α1+β1Ωn+γ1Ωn−1e−(Ωn+ϖn), ϖn+1=α2+β2ϖn+γ2ϖn−1e−(Ωn+ϖn),n=0,1,⋯, whereby initial values Ω−1,ϖ−1,Ω0,ϖ0 and parameters α1,α2 are non-negative real numbers and β1,β2∈(0,1) and…
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Keywords:
system;
exponential symmetric;
symmetric difference;
behavior exponential ... See more keywords