Results 11 to 20 of about 8,973,715 (361)
Zeros of some difference polynomials [PDF]
Advances in Difference Equations, 2013 In this paper, we study zeros of some difference polynomials in f (z) and their shifts, where f (z) is a finite order meromorphic function having deficient value ∞. These results improve previous findings.
Zong-Xuan Chen, Shuangting Lan
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Value Sharing Results for q-Shifts Difference Polynomials
Discrete Dynamics in Nature and Society, 2013 We investigate the zero distribution of q-shift difference polynomials of meromorphic functions with zero order and obtain some results that extend previous results of K. Liu et al.
Yong Liu +3 more
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The zeros on complex differential-difference polynomials of certain types
Advances in Difference Equations, 2018 In this paper, we consider the zeros distribution of f(z)P(z,f)−q(z) $f(z)P(z,f) -q(z)$, where P(z,f) $P(z,f)$ is a linear differential-difference polynomial of a finite-order transcendental entire function f(z) $f(z)$, and q(z) $q(z)$ is a nonzero ...
Changjiang Song, Kai Liu, Lei Ma
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Value distribution of difference and q-difference polynomials [PDF]
Advances in Difference Equations, 2013 In this paper, we investigate the value distribution of difference polynomial and obtain the following result, which improves a recent result of K. Liu and L.Z. Yang: Let f be a transcendental meromorphic function of finite order σ , c be a nonzero constant, and α(z) ≡ 0 be a small function of f ,a nd let P(z )= anz n + an-1z n-1 + ··· + a1z ...
Nan Li, Lianzhong Yang
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On the generalized difference polynomials [PDF]
Pacific Journal of Mathematics, 1990 Laurenţiu Panaitopol, D. M. Stefanescu
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Properties of some difference polynomials
Proceedings of the Japan Academy, Series A, Mathematical Sciences, 2013 In this article, we investigate some properties of some difference polynomials. The results in this article improve some theorems of Liu and Laine. Several examples are provided to show that our results are best possible.
Liu, Yong, Yi, Hong-Xun
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On the difference and sum of basic sets of polynomials [PDF]
Pacific Journal of Mathematics, 1961 M.N. Mikhail, M. Nassif
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Mathematics, 2023 In this review paper, our aim is to study the current research progress of q-difference equations for generalized Al-Salam–Carlitz polynomials related to theta functions and to give an extension of q-difference equations for q-exponential operators and q-
Jian Cao +3 more
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International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary In this contribution, we propose a detailed study of interpolation‐based data‐driven methods that are of relevance in the model reduction and also in the systems and control communities. The data are given by samples of the transfer function of the underlying (unknown) model, that is, we analyze frequency‐response data.
Quirin Aumann, Ion Victor Gosea
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Data‐driven performance metrics for neural network learning
International Journal of Adaptive Control and Signal Processing, EarlyView., 2023 Summary Effectiveness of data‐driven neural learning in terms of both local mimima trapping and convergence rate is addressed. Such issues are investigated in a case study involving the training of one‐hidden‐layer feedforward neural networks with the extended Kalman filter, which reduces the search for the optimal network parameters to a state ...
Angelo Alessandri +2 more
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