Results 11 to 20 of about 446,619 (266)
Electronic Notes in Theoretical Computer Science, 2009 AbstractGeneralization, also called anti-unification, is the dual of unification. Given terms t and t′, a generalization is a term t″ of which t and t′ are substitution instances. The dual of a most general unifier (mgu) is that of least general generalization (lgg).
María Alpuente +3 more
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On the growth of a composition of entire functions
Karpatsʹkì Matematičnì Publìkacìï, 2018 Let $\gamma$ be a positive continuous on $[0,\,+\infty)$ function increasing to $+\infty$ and $f$ and $g$ be arbitrary entire functions of positive lower order and finite order.
M.M. Sheremeta
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On the Integral Representations of Generalized Relative Type and Generalized Relative Weak Type of Entire Functions [PDF]
Sahand Communications in Mathematical Analysis, 2018 In this paper we wish to establish the integral representations of generalized relative type and generalized relative weak type as introduced by Datta et al [9]. We also investigate their equivalence relation under some certain conditions.
Sanjib Kumar Datta, Tanmay Biswas
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Properties of solutions of a heterogeneous differential equation of the second order
Karpatsʹkì Matematičnì Publìkacìï, 2019 Suppose that a power series $A(z)=\sum_{n=0}^{\infty}a_n z^{n}$ has the radius of convergence $R[A]\in [1,+\infty]$. For a heterogeneous differential equation $$ z^2 w''+(\beta_0 z^2+\beta_1 z) w'+(\gamma_0 z^2+\gamma_1 z+\gamma_2)w=A(z) $$ with complex ...
O.M. Mulyava +2 more
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High-order generalized-alpha method
Applications in Engineering Science, 2020 The generalized-α method encompasses a wide range of time integrators. The method possesses high-frequency dissipation while minimizing unwanted low-frequency dissipation. Additionally, the numerical dissipation can be controlled by the user by setting a
Pouria Behnoudfar +2 more
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Limit Theory for Joint Generalized Order Statistics
Revstat Statistical Journal, 2014 In Kamps [7] generalized order statistics (gos) have been introduced as a unifying theme for several models of ascendingly ordered random variables (rv’s).
H.M. Barakat +2 more
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Journal of Algebra, 2015 Let R be the ring of algebraic integers in a number field K and let L be a maximal order in a semisimple K-algebra B. Building on our previous work, we compute the smallest number of algebra generators of L considered as an R-algebra. This reproves and vastly extends the results of P.A.B. Pleasants, who considered the case when B is a number field.
Kravchenko, Rostyslav +2 more
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Generalization of Proximate Order and Applications [PDF]
Computational Methods and Function Theory, 2021 We introduce a concept of a quasi proximate order which is a generalization of a proximate order and allows us to study efficiently analytic functions whose order and lower order of growth are different. We prove an existence theorem of a quasi proximate order, i.e. a counterpart of Valiron's theorem for a proximate order.
Chyzhykov, Igor +2 more
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Stochastic Order and Generalized Weighted Mean Invariance
Entropy, 2021 In this paper, we present order invariance theoretical results for weighted quasi-arithmetic means of a monotonic series of numbers. The quasi-arithmetic mean, or Kolmogorov–Nagumo mean, generalizes the classical mean and appears in many disciplines ...
Mateu Sbert +3 more
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The growth of the maximal term of Dirichlet series
Karpatsʹkì Matematičnì Publìkacìï, 2018 Let $\Lambda$ be the class of nonnegative sequences $(\lambda_n)$ increasing to $+\infty$, $A\in(-\infty,+\infty]$, $L_A$ be the class of continuous functions increasing to $+\infty$ on $[A_0,A)$, $(\lambda_n)\in\Lambda$, and $F(s)=\sum a_ne^{s\lambda_n}$
P.V. Filevych, O.B. Hrybel
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