DLMF:13.6.E15 (Q4402)

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DLMF:13.6.E15
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    test
    M ⁡ ( 1 2 ⁢ a + 3 4 , 3 2 , 1 2 ⁢ z 2 ) = 2 1 2 ⁢ a - 5 4 ⁢ Γ ⁡ ( 1 2 ⁢ a + 1 4 ) ⁢ e 1 4 ⁢ z 2 z ⁢ π ⁢ ( U ⁡ ( a , - z ) - U ⁡ ( a , z ) ) . Kummer-confluent-hypergeometric-M 1 2 𝑎 3 4 3 2 1 2 superscript 𝑧 2 superscript 2 1 2 𝑎 5 4 Euler-Gamma 1 2 𝑎 1 4 superscript 𝑒 1 4 superscript 𝑧 2 𝑧 𝜋 parabolic-U 𝑎 𝑧 parabolic-U 𝑎 𝑧 {\displaystyle{\displaystyle M\left(\tfrac{1}{2}a+\tfrac{3}{4},\tfrac{3}{2},% \tfrac{1}{2}z^{2}\right)=\frac{2^{\frac{1}{2}a-\frac{5}{4}}\Gamma\left(\tfrac{% 1}{2}a+\tfrac{1}{4}\right)e^{\frac{1}{4}z^{2}}}{z\sqrt{\pi}}\*\left(U\left(a,-% z\right)-U\left(a,z\right)\right).}}
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    DLMF id
    DLMF:13.6.E15
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