Mathieu Functions and Hill’s Equation - 28.19 Expansions in Series of Functions

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DLMF Formula Constraints Maple Mathematica Symbolic
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Mathematica
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Mathematica
28.19.E4 e i ν z = n = - c - 2 n ν + 2 n ( q ) me ν + 2 n ( z , q ) superscript 𝑒 imaginary-unit 𝜈 𝑧 superscript subscript 𝑛 subscript superscript 𝑐 𝜈 2 𝑛 2 𝑛 𝑞 Mathieu-me 𝜈 2 𝑛 𝑧 𝑞 {\displaystyle{\displaystyle e^{\mathrm{i}\nu z}=\sum_{n=-\infty}^{\infty}c^{% \nu+2n}_{-2n}(q)\mathrm{me}_{\nu+2n}\left(z,q\right)}}
e^{\iunit\nu z} = \sum_{n=-\infty}^{\infty}c^{\nu+2n}_{-2n}(q)\Mathieume{\nu+2n}@{z}{q}

Error
Exp[I*\[Nu]*z] == Sum[(Subscript[c, - 2*n])^(\[Nu]+ 2*n)[q]* Sqrt[2]*MathieuC[\[Nu]+ 2*n, q, z], {n, - Infinity, Infinity}, GenerateConditions->None]
Missing Macro Error Failure - Skipped - Because timed out