DLMF:15.9.E11 (Q5101)

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DLMF:15.9.E11
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    ϕ λ ( α , β ) ⁡ ( t ) = F ⁡ ( 1 2 ⁢ ( α + β + 1 - i ⁢ λ ) , 1 2 ⁢ ( α + β + 1 + i ⁢ λ ) α + 1 ; - sinh 2 ⁡ t ) . Jacobi-hypergeometric-phi 𝛼 𝛽 𝜆 𝑡 Gauss-hypergeometric-F 1 2 𝛼 𝛽 1 imaginary-unit 𝜆 1 2 𝛼 𝛽 1 imaginary-unit 𝜆 𝛼 1 2 𝑡 {\displaystyle{\displaystyle\phi^{(\alpha,\beta)}_{\lambda}\left(t\right)=F% \left({\tfrac{1}{2}(\alpha+\beta+1-\mathrm{i}\lambda),\tfrac{1}{2}(\alpha+% \beta+1+\mathrm{i}\lambda)\atop\alpha+1};-{\sinh^{2}}t\right).}}
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    DLMF:15.9.E11
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