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Asymptotics of a ${}_3F_2$ hypergeometric function with four large parameters. (arXiv:1810.01134v1 [math.CA])
来源于:arXiv
We consider the asymptotic behaviour of the generalised hypergeometric
function \[{}_3F_2\bl(\!\!\begin{array}{c} 1, (1+t)k/2, (1+t)k/2+1/2\\tk+1,
k+1\end{array}\!\!; x\br),\qquad 0<x,t\leq 1\] as the parameter $k\to+\infty$.
Numerical results illustrating the accuracy of the resulting expansion are
given. 查看全文>>