: Mathematics: parabolic cylinder function

mathematical physics > special function > hypergeometric function > parabolic cylinder function

mathematical analysis > functional analysis > special function > hypergeometric function > parabolic cylinder function

parabolic cylinder function

In mathematics, the parabolic cylinder functions are special functions defined as solutions to the differential equation
${\\displaystyle {\ rac {d^{2}f}{dz^{2}}}+\\left({\ ilde {a}}z^{2}+{\ ilde {b}}z+{\ ilde {c}}\ ight)f=0.}$

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