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Surprising identities for the hypergeometric \({}_{4}F_{3}\) function. (English) Zbl 1400.33011


MSC:

33C20 Generalized hypergeometric series, \({}_pF_q\)
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[1] Andrews, G.E., Askey, R., Roy, R.: Special Functions. Cambridge University, Cambridge (1999) · doi:10.1017/CBO9781107325937
[2] Bailey, W.N.: Generalized Hypergeometric Series. Stechert-Hafner Service Agency, New York (1964)
[3] Kato, Mitsuo, Algebraic transformations of 3F2, Funkcialaj Ekvacioj, 51, 221-243, (2008) · Zbl 1168.33307 · doi:10.1619/fesi.51.221
[4] Discussion about the first surprising identity, http://math.stackexchange.com/q/2123298/44121 (2017)
[5] Vidunas, R.: A generalization of Clausens identity, available at http://www.arxiv.org/abs/0906.1862 (2009)
[6] Zagier, D.: The Dilogarithm Function, Frontiers in Number Theory, Physics, and Geometry II: on Conformal Field Theories. Discrete Groups and Renormalization. Springer, Heidelberg (2007)
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