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» New identities involving Bernoulli and Euler polynomials
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JCT
2006
81views more  JCT 2006»
14 years 9 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»
14 years 9 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»
14 years 9 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»
14 years 9 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
85
Voted
ICIP
1998
IEEE
15 years 11 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