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Jackson q-Bessel function
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Jackson q-Bessel function : ウィキペディア英語版
Jackson q-Bessel function
In mathematics, a Jackson q-Bessel function (or basic Bessel function) is one of the three q-analogs of the Bessel function introduced by . The third Jackson ''q''-Bessel function is the same as the Hahn–Exton q-Bessel function.
==Definition==

The three Jackson ''q''-Bessel functions are given in terms of the Pochhammer symbol and the basic hypergeometric function φ by
: J_\nu^(x;q) = \frac (x/2)^\nu (x;q) = \frac (x/2)^\nu /4)
: J_\nu^(x;q) = \frac (x/2)^\nu {}_1\phi_1(0;q^{\nu+1};q,qx^2/4)

抄文引用元・出典: フリー百科事典『 ウィキペディア(Wikipedia)
ウィキペディアで「Jackson q-Bessel function」の詳細全文を読む



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