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mathematical physics > special function > Mathieu function

mathematical analysis > functional analysis > special function > Mathieu function

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Mathieu function

In mathematics, Mathieu functions, sometimes called angular Mathieu functions, are solutions of Mathieu's differential equation

${\\displaystyle {\ rac {d^{2}y}{dx^{2}}}+(a-2q\\cos(2x))y=0,}$

where $a, q$ are real-valued parameters. Since we may add $π/2$ to $x$ to change the sign of $q$ , it is a usual convention to set $q \geq 0$ .

(Wikipedia, The Free Encyclopedia, https://en.wikipedia.org/wiki/Mathieu_function)

special function

fonction de Mathieu

francés

URI

http://data.loterre.fr/ark:/67375/PSR-BDBLSF4B-Q

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