The Fox-Wright function admits a convergent expansion near its positive singularity with recursively computed coefficients, together with explicit expressions for the jump and average value on the banks of the branch cut.
Paris, Exponentially small expansions in the asymptotics of t he Wright function, Journal of Com- putational and Applied Mathematics 234 (2010), 488–504
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The Fox-Wright function near the singularity and branch cut
The Fox-Wright function admits a convergent expansion near its positive singularity with recursively computed coefficients, together with explicit expressions for the jump and average value on the banks of the branch cut.