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Askey–Wilson type integrals associated with root systems

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Abstract

A new formula for an Askey–Wilson type integral associated with the root system F 4 is studied. A simple proof of the evaluation formula for the original Askey–Wilson integral is also stated.

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Authors and Affiliations

  1. Department of Physics and Mathematics, Aoyama Gakuin University, 5-10-1 Fuchinobe, Sagamihara-shi, Kanagawa, 229-8558, Japan

    Masahiko Ito

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  1. Masahiko Ito
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Correspondence to Masahiko Ito.

Additional information

2000 Mathematics Subject Classification Primary—33D67, 33D60

This work was supported in part by Grant-in-Aid for Scientific Research (C) No. 15540045 from the Ministry of Education, Culture, Sports, Science and Technology (Japan).

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Ito, M. Askey–Wilson type integrals associated with root systems. Ramanujan J 12, 131–151 (2006). https://doi.org/10.1007/s11139-006-9579-y

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