DLMF:15.2.E2 (Q4978)

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DLMF:15.2.E2
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    Statements

    Defining formula
    𝐅 ⁡ ( a , b ; c ; z ) = ∑ s = 0 ∞ ( a ) s ⁢ ( b ) s Γ ⁡ ( c + s ) ⁢ s ! ⁢ z s , scaled-hypergeometric-bold-F 𝑎 𝑏 𝑐 𝑧 superscript subscript 𝑠 0 Pochhammer 𝑎 𝑠 Pochhammer 𝑏 𝑠 Euler-Gamma 𝑐 𝑠 𝑠 superscript 𝑧 𝑠 {\displaystyle{\displaystyle\mathbf{F}\left(a,b;c;z\right)=\sum_{s=0}^{\infty}% \frac{{\left(a\right)_{s}}{\left(b\right)_{s}}}{\Gamma\left(c+s\right)s!}z^{s}% ,}}
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    DLMF id
    DLMF:15.2.E2
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