Bessel Polynomials and the Partial Sums of the Exponential Series
نویسنده
چکیده
Let e k (x) denote the k-th partial sum of the Maclaurin series for the exponential function. Define the (n + 1) × (n + 1) Hankel determinant by setting Hn(x) = det[e i+j (x)] 0≤i,j≤n. We give a closed form evaluation of this determinant in terms of the Bessel polynomials using the method of recently introduced γ-operators.
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ورودعنوان ژورنال:
- SIAM J. Discrete Math.
دوره 24 شماره
صفحات -
تاریخ انتشار 2010