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DLMF:28.20#Ex14

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Formula:9058
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MaRDI QIDQ9058

  • Label: DLMF:28.20#Ex14


Digital Library of Mathematical Functions ID 28.20#Ex14

M ν ( 4 ) ⁡ ( z + s ⁢ π ⁢ i , h ) = e i ⁢ π ⁢ ν ⁢ sin ⁡ ( s ⁢ π ⁢ ν ) sin ⁡ ( π ⁢ ν ) ⁢ M ν ( 3 ) ⁡ ( z , h ) + sin ⁡ ( ( s + 1 ) ⁢ π ⁢ ν ) sin ⁡ ( π ⁢ ν ) ⁢ M ν ( 4 ) ⁡ ( z , h ) . modified-Mathieu-M 4 𝜈 𝑧 𝑠 𝜋 imaginary-unit ℎ superscript 𝑒 imaginary-unit 𝜋 𝜈 𝑠 𝜋 𝜈 𝜋 𝜈 modified-Mathieu-M 3 𝜈 𝑧 ℎ 𝑠 1 𝜋 𝜈 𝜋 𝜈 modified-Mathieu-M 4 𝜈 𝑧 ℎ {\displaystyle{\displaystyle{\mathrm{M}^{(4)}_{\nu}}\left(z+s\pi\mathrm{i},h% \right)=e^{\mathrm{i}\pi\nu}\dfrac{\sin\left(s\pi\nu\right)}{\sin\left(\pi\nu% \right)}{\mathrm{M}^{(3)}_{\nu}}\left(z,h\right)+\frac{\sin\left((s+1)\pi\nu% \right)}{\sin\left(\pi\nu\right)}{\mathrm{M}^{(4)}_{\nu}}\left(z,h\right).}}


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    This page was last edited on 28 January 2024, at 10:30.
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