Integer Sequences Connected to the Laplace Continued Fraction and Ramanujan’s Identity


We consider integer sequences connected to the famous Laplace continued fraction for the function R(t) = ∫∞ t φ(x)dx/φ(t), where φ(t) = e −t2/2/ √ 2π is the standard normal density. We compute the generating functions for these sequences and study their relation to the Hermite and Bessel polynomials. Using the master equation for the generating functions… (More)


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