p-adic Euler-Maclaurin expansions
نویسندگان
چکیده
منابع مشابه
Euler-Maclaurin expansions for integrals with arbitrary algebraic endpoint singularities
In this paper, we provide the Euler–Maclaurin expansions for (offset) trapezoidal rule approximations of the divergent finite-range integrals ∫ b a f(x) dx, where f ∈ C ∞(a, b) but can have arbitrary algebraic singularities at one or both endpoints. We assume that f(x) has asymptotic expansions of the general forms f(x) ∼ K (x− a)−1 + ∞ ∑ s=0 cs(x− a)s as x → a+, f(x) ∼ L (b− x)−1 + ∞ ∑ s=0 ds(...
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ژورنال
عنوان ژورنال: Indagationes Mathematicae
سال: 1996
ISSN: 0019-3577
DOI: 10.1016/0019-3577(96)85094-4