Weber Parabolic Cylinder Functions
نویسندگان
چکیده
منابع مشابه
Numerical and Asymptotic Aspects of Parabolic Cylinder Functions
Several uniform asymptotics expansions of the Weber parabolic cylinder functions are considered, one group in terms of elementary functions, another group in terms of Airy functions. Starting point for the discussion are asymptotic expansions given earlier by F.W.J. Olver. Some of his results are modified to improve the asymptotic properties and to enlarge the intervals for using the expansions...
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A generalisedWeber function is wN (z) = η(z/N)/η(z) where η(z) is the Dedekind function and N is any integer (the original function corresponds to N = 2). We give the complete classification of cases where some power w N evaluated at some quadratic integer generates the ring class field associated to an order of an imaginary quadratic field. We compare the heights of our invariants by giving a ...
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ژورنال
عنوان ژورنال: Nature
سال: 1957
ISSN: 0028-0836,1476-4687
DOI: 10.1038/180400a0