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» Symmetric Identities for Euler Polynomials
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GC
2010
Springer
13 years 9 months ago
Symmetric Identities for Euler Polynomials
Abstract. In this paper we establish two symmetric identities on sums of products of Euler polynomials.
Yong Zhang, Zhi-Wei Sun, Hao Pan
JCT
2006
81views more  JCT 2006»
13 years 11 months ago
New identities involving Bernoulli and Euler polynomials
Abstract. Using the finite difference calculus and differentiation, we obtain several new identities for Bernoulli and Euler polynomials; some extend Miki's and Matiyasevich&#...
Hao Pan, Zhi-Wei Sun
COCO
2009
Springer
117views Algorithms» more  COCO 2009»
14 years 5 months ago
The Proof Complexity of Polynomial Identities
Devising an efficient deterministic – or even a nondeterministic sub-exponential time – algorithm for testing polynomial identities is a fundamental problem in algebraic comp...
Pavel Hrubes, Iddo Tzameret
FOCM
2008
100views more  FOCM 2008»
13 years 11 months ago
Optimal Control and Geodesics on Quadratic Matrix Lie Groups
In this paper, we consider some matrix subgroups of the general linear group and in particular the special linear group that are defined by a quadratic matrix identity. The Lie al...
Anthony M. Bloch, Peter E. Crouch, Jerrold E. Mars...
MP
2010
150views more  MP 2010»
13 years 5 months ago
The algebraic degree of semidefinite programming
Given a generic semidefinite program, specified by matrices with rational entries, each coordinate of its optimal solution is an algebraic number. We study the degree of the minima...
Jiawang Nie, Kristian Ranestad, Bernd Sturmfels