bounds for hypergeometric 2F2 function

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Looking for lower- and upper- bounds for the following case of the hypergeometric ${}_pF_q$ function: $$ {}_2F_{2}(1,k;\;k+1/2+b,k+1/2-b;\;z), $$ where $k\in\mathbb{N}$, $b\in[0,1/2)$, and $z\ge0$. Can anyone suggest a reference?