Meromorphic Solutions of Certain Nonlinear Difference Equations
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DOI: 10.1007/s00025-021-01414-5
Abstract: Let $$p_1, p_2$$ be nonzero rational functions, $$\alpha _1, \alpha _2$$ be nonzero constants, and $$P_d(z, f)$$ be a difference polynomial in f of degree d. We prove that every finite order meromorphic solution of… read more here.
Keywords: nonlinear difference; difference equations; meromorphic solutions; difference ... See more keywords
The uniqueness for algebroid functions of finite order
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DOI: 10.1007/s10473-020-0407-z
Abstract: In this article, we discuss, by Nevanlinna theory, the influence of multiple values and deficiencies on the uniqueness problem of algebroid functions. We get several uniqueness theorems of algebroid functions which include an at most… read more here.
Keywords: algebroid functions; finite order; uniqueness algebroid; functions finite ... See more keywords
Commuting conjugates of finite-order mapping classes
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DOI: 10.1007/s10711-020-00523-9
Abstract: Let $$\text {Mod}(S_g)$$ Mod ( S g ) be the mapping class group of the closed orientable surface $$S_g$$ S g of genus $$g\ge 2$$ g ≥ 2 . In this paper, we derive necessary… read more here.
Keywords: order; mod; mapping classes; finite order ... See more keywords
Finite-Order Filter Designs of Source and Multiple Full-Duplex Relays for Cooperative Communications in Presence of Frequency- Selective Fading and Inter-Relay Interference
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DOI: 10.1109/tcomm.2022.3157313
Abstract: This paper considers the finite-order filter design problem for the source and multiple full-duplex (FD) relays in a cooperative communication system under frequency-selective fading channels. The goal is to optimize the source and relay filters… read more here.
Keywords: filter; interference; source; relay ... See more keywords
Automorphisms of Finite Order of Soluble Groups of Finite Rank
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DOI: 10.1556/012.2021.58.1.1486
Abstract: We study the effect on sections of a soluble-by-finite group G of finite rank of an almost fixed-point-free automorphism φ of G of finite order. We also elucidate the structure of G if φ has… read more here.
Keywords: order; soluble groups; automorphisms finite; finite order ... See more keywords