Directory UMM :Journals:Journal_of_mathematics:OTHER:
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In this paper we investigate some algorithms which produce Bernoulli numbers, Euler numbers, and tangent numbers. We also give closed formulae for Euler num- bers and tangent numbers
(4) As application we use Theorem 1.1 to obtain determinant identities for well-known numbers by specializing to specific sequences { a k}... Hence all that remains of the
However, polynomials in many variables with integer coefficients are known whose positive values are exactly the prime numbers obtained as the variables run through all
Cigler [ 10 ] calculated more general identities with respect to Hankel deter- minants involving not only r-Bell numbers but polynomials... A more detailed
elements into no more than c nonempty sets is given by partial sums of Stirling numbers of second kind, we determined explicit formulas for their closed forms, as linear combinations
We define a Riordan triangle for generalized Bell numbers and we establish general identities connecting Lah, Stirling, Tanh and the generalized Bell numbers.. The concept of
We study the Lah and related Laguerre transforms within the context of exponential Riordan arrays.. Links to the Stirling numbers
Zhou, Strong asymptotics for polynomials orthogonal with respect to varying exponential weights and applications to universality questions in random matrix theory, to appear..