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arxiv: 1801.02312 · v1 · pith:Y4SBAD36new · submitted 2018-01-08 · 🧮 math.CA

Newton diagram of positivity for {}₁F₂ generalized hypergeometric functions

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keywords positivitydiagramfunctionsgeneralizedhypergeometricnewtoncertainconditions
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As for the positivity of ${}_1F_2$ generalized hypergeometric functions, we present a list of necessary and sufficient conditions in terms of parameters and determine the region of positivity by certain Newton diagram.

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