Results 21 to 30 of about 156 (59)
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 existence of solutions to certain type of nonlinear difference-differential equations
Open Mathematics, 2018 In this paper we study the entire solutions to a certain type of difference-differential equations. We also give an affirmative answer to the conjecture of Zhang et al.
Lü Weiran +3 more
doaj +1 more source
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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Existence of entire solutions of nonlinear difference equations [PDF]
, 2011 summary:In this paper we obtain that there are no transcendental entire solutions with finite order of some nonlinear difference equations of different ...
Liu, Kai, Liu, Xinling, Yang, Lianzhong
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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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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
doaj +1 more source
, 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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Journal of Mathematics, Volume 2025, Issue 1, 2025.This paper analyzes the stability of the Euler–Lagrange–Jensen cubic functional equation in the context of Banach spaces and Intuitionistic Fuzzy Normed Spaces (IFN‐Spaces). We use both direct and fixed point techniques to establish the generalized Ulam stability of the cubic functional equation under various norm‐based constraints.
Subramani Karthikeyan +4 more
wiley +1 more source
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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Generating functions for multiple zeta star values [PDF]
, 2019 We study generating functions for multiple zeta star values in general form. These generating functions provide a connection between multiple zeta star values and multiple Euler sums, which allows us to express each multiple zeta star value in terms of ...
Pilehrood, Khodabakhsh Hessami +1 more
core +3 more sources