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» New identities involving Bernoulli and Euler polynomials
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JCT
2006
81views more  JCT 2006»
13 years 5 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
DM
2008
101views more  DM 2008»
13 years 5 months ago
Congruences involving Bernoulli polynomials
Let {Bn(x)} be the Bernoulli polynomials. In the paper we establish some congruences for Bj(x) (mod pn), where p is an odd prime and x is a rational p-integer. Such congruences are...
Zhi-Hong Sun
DM
2008
90views more  DM 2008»
13 years 5 months ago
On sums of binomial coefficients and their applications
In this paper we study recurrences concerning the combinatorial sum n r m = kr (mod m) n k and the alternate sum kr (mod m)(-1)(k-r)/m n k , where m > 0, n 0 and r are integers....
Zhi-Wei Sun
DCG
2006
68views more  DCG 2006»
13 years 5 months ago
The Stirling Polynomial of a Simplicial Complex
We introduce a new encoding of the face numbers of a simplicial complex, its Stirling polynomial, that has a simple expression obtained by multiplying each face number with an app...
Gábor Hetyei
ICIP
1998
IEEE
14 years 6 months ago
Complex Representations of Algebraic Curves
In this work, we employ a complex representation for an algebraic curve, and illustrate how the algebraic transformation which relates two Euclidean equivalent curves can be deter...
Mustafa Unel, William A. Wolovich