Peripheral thresholds and Regge asymptotic expansions
نویسندگان
چکیده
منابع مشابه
Asymptotic Expansions
Asymptotic expansions of functions are useful in statistics in three main ways. Firstly, conventional asymptotic expansions of special functions are useful for approximate computation of integrals arising in statistical calculations. An example given below is the use of Stirling's approximation to the gamma function. Second, asymptotic expansions of density or distribution functions of estimato...
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We introduce new subclasses of Fourier hyperfunctions of mixed type, satisfying polynomial growth conditions at infinity, and develop their sheaf and duality theory. We use Fourier transformation and duality to examine relations of these asymptotic and tempered hyperfunctions to known classes of test functions and distributions, especially the Gel’fand-Shilov spaces. Further it is shown that th...
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There are several important observations to make about this definition. (i) The definition says that, for each fixed n, ∑n m=0 amx m becomes a better and better approximation to f(x) as x gets smaller. As x → 0, ∑m=0 amx approaches f(x) faster than x tends to zero. (ii) The definition says nothing about what happens as n → ∞. There is no guarantee that for each fixed x, ∑n m=0 amx m tends to f(...
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There are several important observations to make about this definition. (i) The definition says that, for each fixed n, ∑n m=0 amx m becomes a better and better approximation to f(x) as x gets smaller. As x → 0, ∑m=0 amx approaches f(x) faster than x tends to zero. (ii) The definition says nothing about what happens as n → ∞. There is no guarantee that for each fixed x, ∑n m=0 amx m tends to f(...
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It didn’t do the integrals, but it did apply the sum rule! What’s more, the sum rule was applied twice, even though our rule only indicated one summation. This is a basic feature of Mathematica: it applies simplification rules repeatedly without our having to ask for that explicitly. Let’s tell OurIntegrate about taking constants out of the integral. The syntax at the end of the following rule ...
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ژورنال
عنوان ژورنال: Nuclear Physics B
سال: 1974
ISSN: 0550-3213
DOI: 10.1016/0550-3213(74)90009-1