DLMF:32.2#Ex8 (Q9177)

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DLMF:32.2#Ex8
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    Defining formula
    z ⁢ d f 3 d z = f 3 ⁢ f 1 ⁢ ( f 4 - f 2 ) + ( 1 2 - μ 1 ) ⁢ f 3 + μ 3 ⁢ f 1 , 𝑧 derivative subscript 𝑓 3 𝑧 subscript 𝑓 3 subscript 𝑓 1 subscript 𝑓 4 subscript 𝑓 2 1 2 subscript 𝜇 1 subscript 𝑓 3 subscript 𝜇 3 subscript 𝑓 1 {\displaystyle{\displaystyle z\frac{\mathrm{d}f_{3}}{\mathrm{d}z}=f_{3}f_{1}(f% _{4}-f_{2})+(\tfrac{1}{2}-\mu_{1})f_{3}+\mu_{3}f_{1},}}
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    DLMF id
    DLMF:32.2#Ex8
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