Results 11 to 20 of about 233,365 (231)
On a Difference Equation for Generalizations of Charlier Polynomials
Journal of Approximation Theory, 1995 11 ...
H. Bavinck, Roelof Koekoek
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Differential-difference properties of hypergeometric polynomials [PDF]
Mathematics of Computation, 1975 We develop differential-difference properties of a class of hypergeometric polynomials which are a generalization of the Jacobi polynomials. The formulas are analogous to known formulas for the classical orthogonal polynomials.
Jet Wimp
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Skew Divided Difference Operators and Schubert Polynomials [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2007 We study an action of the skew divided difference operators on the Schubert polynomials and give an explicit formula for structural constants for the Schubert polynomials in terms of certain weighted paths in the Bruhat order on the symmetric group.
Anatol N. Kirillov
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A difference-integral representation of Koornwinder polynomials
, 2004 We construct new families of (q-) difference and (contour) integral operators having nice actions on Koornwinder's multivariate orthogonal polynomials.
Rains, Eric M.
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On the generalized difference polynomials [PDF]
Pacific Journal of Mathematics, 1990 Doru Ştefănescu, Laurenţiu Panaitopol
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On the difference and sum of basic sets of polynomials [PDF]
Pacific Journal of Mathematics, 1961 Mihail, M. N., Nassif, M.
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Value Distributions and Uniqueness of Difference Polynomials
Advances in Difference Equations, 2011 We investigate the zeros distributions of difference polynomials of meromorphic functions, which can be viewed as the Hayman conjecture as introduced by (Hayman 1967) for difference.
Liu Kai, Liu Xinling, Cao TingBin
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On difference polynomials and hereditarily irreducible polynomials
Journal of Number Theory, 1980 AbstractA difference polynomial is one of the form P(x, y) = p(x) − q(y). Another proof is given of the fact that every difference polynomial has a connected zero set, and this theorem is applied to give an irreducibility criterion for difference polynomials. Some earlier problems about hereditarily irreducible polynomials (HIPs) are solved.
Lee A. Rubel, Helge Tverberg, A Schinzel
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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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