Results 21 to 30 of about 45,775 (301)
Composition of entire and analytic functions in the unit ball
In this paper, we investigate a composition of entire function of several complex variables and analytic function in the unit ball. We modified early known results with conditions providing equivalence of boundedness of $L$-index in a direction for such ...
A.I. Bandura, O.B. Skaskiv, I.R. Tymkiv
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Slice Holomorphic Functions in Several Variables with Bounded L-Index in Direction
In this paper, for a given direction b ∈ C n \ { 0 } we investigate slice entire functions of several complex variables, i.e., we consider functions which are entire on a complex line { z 0 + t b : t ∈ C } for any z
Andriy Bandura, Oleh Skaskiv
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Analysis of the bounded and unbounded forms of USBM wettability index
Understanding wettability is important in many processes where porous media and fluids are in contact. The U.S. Bureau of Mines (USBM) is one of the industry standard techniques for measuring wettability.
Abouzar Mirzaei-Paiaman
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Sometimes the impact factor outshines the H index [PDF]
Journal impact factor (which reflects a particular journal's quality) and H index (which reflects the number and quality of an author's publications) are two measures of research quality.
Honekopp, Johannes +5 more
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A stronger bound for the strong chromatic index [PDF]
We prove χ′s(G) ≤ 1.93 Δ(G)2 for graphs of sufficiently large maximum degree where χ′s(G) is the strong chromatic index of G. This improves an old bound of Molloy and Reed. As a by-product, we present a Talagrand-type inequality where we are allowed to exclude unlikely bad outcomes that would otherwise render the inequality unusable.
Henning Bruhn, Felix Joos
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Analytic vector-functions in the unit ball having bounded $\mathbf{L}$-index in joint variables
In this paper, we consider a class of vector-functions, which are analytic in the unit ball. For this class of functions there is introduced a concept of boundedness of $\mathbf{L}$-index in joint variables, where $\mathbf{L}=(l_1,l_2): \mathbb{B}^2\to ...
V.P. Baksa
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A characterization of holomorphic bivariate functions of bounded index [PDF]
The following notion of bounded index for complex entire functions was presented by Lepson. function f(z) is of bounded index if there exists an integer N independent of z, such that The main goal of this paper is extend this notion to holomorphic ...
Patterson, Richard +4 more
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Bounds for the distance Estrada index of graphs [PDF]
The D-eigenvalues μ_1,μ_2,...,μ_{n} of a connected graph G are the eigenvalues of its distance matrix. The distance Estrada index of G is defined in [15] as DEE=DEE(G)=Σ_{i=1}^n e^{μ_{i}} In this paper, we give better lower bounds for the distance Estrada index of any connected graph as well as some relations between DEE(G) and the distance energy.
Altındağ, Ş. Burcu Bozkurt +1 more
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Analytic in the unit polydisc functions of bounded L-index in direction
The concept of bounded $L$-index in a direction $\mathbf{b}=(b_1,\ldots,b_n)\in\mathbb{C}^n\setminus\{\mathbf{0}\}$ is generalized for a class of analytic functions in the unit polydisc, where $L$ is some continuous function such that for every $z=(z_1 ...
A. Bandura, T. Salo
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Lower bounds for Estrada Index [PDF]
If G is an (n,m)-graph whose spectrum consists of the numbers ?1, ?2, . . . , ?n, then its Estrada index is EE(G) = ?n i=1 e?i . We establish lower bounds for EE(G) in terms of n and m.
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