关于Wright和Braaksma关于Wright函数${}_pΨ_q(z)$的定理的注记
Some remarks on the theorems of Wright and Braaksma on the Wright function ${}_pΨ_q(z)$
摘要:
我们进行了数值调查的渐近展开的所谓的赖特函数${}_pΨ_q(z)$(广义超几何函数)的情况下,当指数小条款。这种情况涵盖了两个定理的赖特和Braaksma。我们证明,一个更精确的理解的行为${}_pΨ_q(z)$是通过考虑到斯托克斯现象。
英文摘要:
We carry out a numerical investigation of the asymptotic expansion of the so-called Wright function ${}_pΨ_q(z)$ (a generalised hypergeometric function) in the case when exponentially small terms are present. This situation is covered by two theorems of Wright and Braaksma. We demonstrate that a more precise understanding of the behaviour of ${}_pΨ_q(z)$ is obtained by taking into account the Stokes phenomenon.
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