Results 21 to 30 of about 127 (41)
Fixed Points of Meromorphic Functions and Their Higher Order Differences and Shifts
Open Mathematics, 2019 In this paper, we investigate the relationships between fixed points of meromorphic functions, and their higher order differences and shifts, and generalize the case of fixed points into the more general case for first order difference and shift ...
Chen Hai-Ying, Zheng Xiu-Min
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The Beckman-Quarles theorem for continuous mappings from C^n to C^n
, 2006 Let varphi_n:C^n times C^n->C, varphi_n((x_1,...,x_n),(y_1,...,y_n))=sum_{i=1}^n (x_i-y_i)^2. We say that f:C^n->C^n preserves distance d>=0, if for each X,Y in C^n varphi_n(X,Y)=d^2 implies varphi_n(f(X),f(Y))=d^2. We prove: if n>=2 and a continuous f:C^
Tyszka, Apoloniusz
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Transcendental holomorphic maps between real algebraic manifolds in a complex space
, 2019 We give an example of a real algebraic manifold embedded in a complex space that does not satisfy the Nash-Artin approximation Property. This Nash-Artin approximation Property is closely related to the problem of determining when the biholomorphic ...
Rond, Guillaume
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New Characterization of Appell polynomials
, 2016 We prove characterizations of Appell polynomials by means of symmetric property. For these polynomials, we establish a simple linear expression in terms of Bernoulli and Euler polynomials. As applications, we give interesting examples.
Bayad, Abdelmejid, Komatsu, Takao
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The correlation between the convergence of subdivision processes and solvability of refinement equations. [PDF]
, 2001 We consider a univariate two-scale difference equation, which is studied in approximation theory, curve design and wavelets theory. This paper analysis the correlation between the existence of smooth compactly supported solutions of this equation and the
Protassov, V. (Vladimir)
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, 2009 We show that stochastically continuous, time-homogeneous affine processes on the canonical state space $\Rplus^m \times \RR^n$ are always regular. In the paper of \citet{Duffie2003} regularity was used as a crucial basic assumption.
Keller-Ressel, Martin +2 more
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Open Mathematics, 2016 In this paper, we investigate the value distribution of meromorphic solutions of homogeneous and non-homogeneous complex linear differential-difference equations, and obtain the results on the relations between the order of the solutions and the ...
Luo Li-Qin, Zheng Xiu-Min
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Fixed points of the smoothing transform: Two-sided solutions
, 2011 Given a sequence $(C,T) = (C,T_1,T_2,...)$ of real-valued random variables with $T_j \geq 0$ for all $j \geq 1$ and almost surely finite $N = \sup\{j \geq 1: T_j > 0\}$, the smoothing transform associated with $(C,T)$, defined on the set $\mathcal{P}(\R)$
Alsmeyer, Gerold, Meiners, Matthias
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Geometric properties of basic hypergeometric functions
, 2014 In this paper we consider basic hypergeometric functions introduced by Heine. We study mapping properties of certain ratios of basic hypergeometric functions having shifted parameters and show that they map the domains of analyticity onto domains convex ...
Agrawal, Sarita, Sahoo, Swadesh
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Cosine and sine addition and subtraction law with an automorphism [PDF]
, 2023 Let S be a semigroup. Our main result is that we describe the complex-valued solutions of the following functional equationsg(xσ(y)) = g(x)g(y) + f(x)f(y), x, y ∈ S,f(xσ(y)) = f(x)g(y) + f(y)g(x), x, y ∈ S,andf(xσ(y)) = f(x)g(y) - f(y)g(x), x, y ∈ S ...
Aserrar, Youssef, Elqorachi, Elhoucien
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