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arxiv: 1901.07343 · v1 · pith:3ZPPN3PKnew · submitted 2019-01-22 · 🧮 math.CA

Certain results on Euler-type integrals and their applications

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keywords integralsresultssomeapplicationsdefiniteeuler-typefunctionhypergeometric
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This paper deals with the evaluation of some definite Euler-type integrals in terms of the Wright hypergeometric function. We obtain a theorem on the Wright hypergeometric function and then use this theorem to evaluate some definite integrals. Further, we derive some results as applications of these evaluations. Multi-variable cases of the derived results of this paper are also briefly discussed.

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