rzadkowski3. 124KB Jun 04 2011 12:09:28 AM
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A direct proof is given for Akiyama and Tanigawa’s algorithm for computing Bernoulli numbers.. The proof uses a closed formula for Bernoulli numbers expressed in terms of
Keywords: Bell numbers, near-Bell numbers, exponential generating functions, ordinary generating functions, multisets, partitions, recurrence relations. (Concerned with
Using generating functions appearing in these integral representations, we give new Vacca and Ramanujan-type series for values of the generalized Euler constant function
Closed-form formulas are derived for the rank and inertia of submatrices of the Moore–Penrose inverse of a Hermitian matrix.. A variety of consequences on the nonsingularity,
We prove an inequality for polynomials applied in a symmetric way to non-commuting operators..
We give a simple proof that in a Lipschitz domain in two dimensions with Lipschitz constant one, there is pathwise uniqueness for the Skorokhod equation governing reflecting
Gegenbauer polynomials, as reproducing kernels for the spaces of spherical harmonics of a given degree, or more generally, as providing an explicit construction of symmetry
In the previous section we showed that the Christoffel transformation of Hermite’s elliptic LBP gives polynomials orthogonal on the unit circle with explicit reflection
