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.
Wright, The asymptotic expansion of the generalized hyper geometric function, Proceeding of the London Math
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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.