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141
Topological Entropy and Special α-Limit Points of Graph Maps
Published 2011-01-01“…Let G a graph and f:G→G be a continuous map. Denote by h(f), R(f), and SA(f) the topological entropy, the set of recurrent points, and the set of special α-limit points of f, respectively. …”
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142
Lucas partitions
Published 1998-01-01“…The Lucas sequence is defined by: L0=2,L1=1,Ln=Ln−1+Ln−2 for n≥2. Let V(n), r(n) denote respectively the number of partitions of n into parts, distinct parts from {Ln}. …”
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143
Unique Solution of a Coupled Fractional Differential System Involving Integral Boundary Conditions from Economic Model
Published 2013-01-01“…We study the existence and uniqueness of the positive solution for the fractional differential system involving the Riemann-Stieltjes integral boundary conditions , , , , , and , where , , and and are the standard Riemann-Liouville derivatives, and are functions of bounded variation, and and denote the Riemann-Stieltjes integral. Our results are based on a generalized fixed point theorem for weakly contractive mappings in partially ordered sets.…”
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144
Congruences involving F-partition functions
Published 1994-01-01“…The primary goal of this note is to prove the congruence ϕ3(3n+2)≡0(mod3), where ϕ3(n) denotes the number of F-partitions of n with at most 3 repetitions. …”
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145
Relationships among transforms, convolutions, and first variations
Published 1999-01-01“…In this paper, we establish several interesting relationships involving the Fourier-Feynman transform, the convolution product, and the first variation for functionals F on Wiener space of the form F(x)=f(〈α1,x〉,…,〈αn,x〉), (*) where 〈αj,x〉 denotes the Paley-Wiener-Zygmund stochastic integral ∫0Tαj(t)dx(t).…”
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146
Horadam Polynomials and a Class of Biunivalent Functions Defined by Ruscheweyh Operator
Published 2023-01-01“…In this paper, we introduce and investigate a class of biunivalent functions, denoted by Hn,r,α, that depends on the Ruscheweyh operator and defined by means of Horadam polynomials. …”
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147
Analytic functions over valued fields
Published 1990-01-01“…Let K be a non-archimedean, non-trivially (rank 1) valued complete field. B, B0 denote the closed and open unit ball of K respectively. …”
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148
Power Weighted Versions of Bennett, Alpert, and Goldstein’s S
Published 2014-01-01“…A weighted version of Bennett, Alpert, and Goldstein’s S, denoted by Sr, is studied. It is shown that the special cases of Sr are often ordered in the same way. …”
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149
An identity for a class of arithmetical functions of several variables
Published 1993-01-01“…Johnson [1] evaluated the sum ∑d|n|C(d;r)|, where C(n;r) denotes Ramanujan's trigonometric sum. This evaluation has been generalized to a wide class of arithmetical functions of two variables. …”
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150
Distribution of αp2 Modulo One with Prime Variable p of a Special Form
Published 2021-01-01“…Let Pr denote an almost-prime with at most r prime factors, counted according to multiplicity. …”
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151
Q-Type Spaces of Harmonic Mappings
Published 2022-01-01“…In this paper, we attempt to investigate a new harmonic mapping class denoted by the Banach space QHp in the unit disk. …”
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152
Existence, Decay, and Blow-Up of Solutions for a Higher-Order Kirchhoff-Type Equation with Delay Term
Published 2021-01-01“…Then, we discuss the decay of solutions by using Nakao’s technique and denote polynomially and exponentially. Furthermore, the blow-up result is established for negative initial energy under appropriate conditions.…”
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153
Upper-bound estimates for weighted sums satisfying Cramer’s condition
Published 2023-09-01“…Here Sj is the sum of identically distributed random variables and ωj > 0 denotes weight. We consider the case, when Sj is the sum of independent random variables satisfying Cramer’s condition. …”
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154
Gaussian integers with small prime factors
Published 1979-01-01“…Let ψG(xt,x) denote the number of Gaussian integers with norm not exceeding x2t whose Gaussian prime factors have norm not exceeding x2. …”
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155
On Certain Subclasses of Analytic Multivalent Functions Using Generalized Salagean Operator
Published 2015-01-01“…We introduce and study two subclasses of multivalent functions denoted by Mp,nm,α,β,σ(λ1;λ2) and Np,nm,α,β,σ(μ,δ;γ). …”
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156
Nonwandering sets of maps on the circle
Published 1999-01-01“…And let R(f),Λ(f),Γ(f), and Ω(f) denote the set of recurrent points, ω-limit points, γ-limit points, and nonwandering points of f, respectively. …”
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157
Magnifying Elements in Semigroups of Fixed Point Set Transformations Restricted by an Equivalence Relation
Published 2021-01-01“…For a nonempty subset S of X, we denote the semigroup of transformations restricted by an equivalence relation ρ fixing S pointwise by EFSX,ρ. …”
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158
"Beset", "besete" of "beserk"?: besinning oor enkele begrippe binne die kerklike diens van bevryding van bose magte
Published 2003-06-01“…The inadequacies of the terms “demon-possessed” and “possession” and its Afrikaans equivalents in this context, insofar as they sometimes denote “ownership” or “heavy manifestation”, are pointed out. …”
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159
Markers of Field Cancerization: Proposed Clinical Applications in Prostate Biopsies
Published 2012-01-01“…Field cancerization denotes the occurrence of genetic, epigenetic, and biochemical aberrations in structurally intact cells in histologically normal tissues adjacent to cancerous lesions. …”
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160
On a density problem of Erdös
Published 1999-01-01“…For a positive integer n, let P(n) denotes the largest prime divisor of n and define the set: 𝒮(x)=𝒮={n≤x:n does not divide P(n)!}. …”
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