DLMF:28.26.E2 (Q8418)

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DLMF:28.26.E2
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    Defining formula
    i ⁢ Ms m + 1 ( 3 ) ⁡ ( z , h ) = e i ⁢ ϕ ( π ⁢ h ⁢ cosh ⁡ z ) 1 / 2 ⁢ ( \MathieuFs ⁢ m ⁢ @ ⁢ z ⁢ h - i ⁢ \MathieuGs ⁢ m ⁢ @ ⁢ z ⁢ h ) , imaginary-unit modified-Mathieu-Ms 3 𝑚 1 𝑧 ℎ superscript 𝑒 imaginary-unit italic-ϕ superscript 𝜋 ℎ 𝑧 1 2 \MathieuFs 𝑚 @ 𝑧 ℎ imaginary-unit \MathieuGs 𝑚 @ 𝑧 ℎ {\displaystyle{\displaystyle\mathrm{i}{\mathrm{Ms}^{(3)}_{m+1}}\left(z,h\right% )=\dfrac{e^{\mathrm{i}\phi}}{(\pi h\cosh z)^{\ifrac{1}{2}}}\*{\left(\MathieuFs% {m}@{z}{h}-\mathrm{i}\MathieuGs{m}@{z}{h}\right)},}}
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    DLMF id
    DLMF:28.26.E2
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