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mathematical physics > special function > Owen's T function

mathematical analysis > functional analysis > special function > Owen's T function

probability theory > probability distribution > Owen's T function

mathematical statistics > probability distribution > Owen's T function

Preferred term

Owen's T function

Definition(s)

In mathematics, Owen's T function T(h, a), named after statistician Donald Bruce Owen, is defined by

${\\displaystyle T(h,a)={\ rac {1}{2\\pi }}\\int _{0}^{a}{\ rac {e^{-{\ rac {1}{2}}h^{2}(1+x^{2})}}{1+x^{2}}}dx\\quad \\left(-\\infty <h,a<+\\infty \ ight).}$

The function was first introduced by Owen in 1956.

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Owen%27s_T_function)

Broader concept(s)

In other languages

fonction T d'Owen

French

URI

http://data.loterre.fr/ark:/67375/PSR-CNVQ7RKZ-P

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