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Certain results on Euler-type integrals and their applications

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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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Acknowledgements

The authors thank the constructive comments and suggestions by the editor and anonymous referees, which have contributed to the improvement of the presentation of this paper.

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Jabee, S., Shadab, M. & Paris, R.B. Certain results on Euler-type integrals and their applications. Ramanujan J 54, 245–260 (2021). https://doi.org/10.1007/s11139-019-00238-w

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