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arXiv · 1810.01134

Asymptotics of a ${}_3F_2$ hypergeometric function with four large parameters

R B Paris
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Abstract

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.

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R B Paris. 2018-10-02. Asymptotics of a ${}_3F_2$ hypergeometric function with four large parameters. https://arxiv.org/abs/1810.01134

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