Results 31 to 40 of about 8,973,715 (361)
Uniqueness on linear difference polynomials of meromorphic functions
AIMS Mathematics, 2021 Suppose that $f(z)$ is a meromorphic function with hyper order $\sigma_{2}(f)
Ran Ran Zhang +2 more
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Exponential Polynomials and Nonlinear Differential-Difference Equations
Journal of Function Spaces, 2020 In this paper, we study finite-order entire solutions of nonlinear differential-difference equations and solve a conjecture proposed by Chen, Gao, and Zhang when the solution is an exponential polynomial.
Junfeng Xu, Jianxun Rong
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On the ω-multiple Meixner polynomials of the first kind
Journal of Inequalities and Applications, 2020 In this study, we introduce a new family of discrete multiple orthogonal polynomials, namely ω-multiple Meixner polynomials of the first kind, where ω is a positive real number.
Sonuç Zorlu Oğurlu, İlkay Elidemir
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Value Distribution of Difference Polynomials [PDF]
INTERNATIONAL JOURNAL ON Advances in Information Sciences and Service Sciences, 2012 Zhihao Tang, Gang Wang, Dianxuan Gong
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Orthogonal Polynomials with Singularly Perturbed Freud Weights
Entropy, 2023 In this paper, we are concerned with polynomials that are orthogonal with respect to the singularly perturbed Freud weight functions. By using Chen and Ismail’s ladder operator approach, we derive the difference equations and differential-difference ...
Chao Min, Liwei Wang
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Difference Macdonald-Mehta Conjecture [PDF]
, 1997 In the paper we formulate and verify a difference counterpart of the Macdonald-Mehta conjecture and its generalization for the Macdonald polynomials.
Cherednik, Ivan
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Special non uniform lattice ($snul$) orthogonal polynomials on discrete dense sets of points. [PDF]
, 1995 Difference calculus compatible with polynomials (i.e., such that the divided difference operator of first order applied to any polynomial must yield a polynomial of lower degree) can only be made on special lattices well known in contemporary $q ...
Magnus, Alphonse P.
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On the difference between permutation polynomials
Finite Fields and Their Applications, 2018 Abstract The well-known Chowla and Zassenhaus conjecture, proved by Cohen in 1990, states that if p > ( d 2 − 3 d + 4 ) 2 , then there is no complete mapping polynomial f in F p [ x ] of degree d ≥ 2 .
Vandita Patel +6 more
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Algebra of quantum C $$ \mathcal{C} $$ -polynomials
Journal of High Energy Physics, 2021 Knot polynomials colored with symmetric representations of SL q (N) satisfy difference equations as functions of representation parameter, which look like quantization of classical A $$ \mathcal{A} $$ -polynomials.
Andrei Mironov, Alexei Morozov
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Multiple little q-Jacobi polynomials [PDF]
, 2004 We introduce two kinds of multiple little q-Jacobi polynomials by imposing orthogonality conditions with respect to r discrete little q-Jacobi measures on the exponential lattice q^k (k=0,1,2,3,...), where 0 < q < 1.
Postelmans, Kelly, Van Assche, Walter
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