超几何函数的单值投影PSL（2，F7）的达布估计
Darboux evaluations for hypergeometric functions with the projective monodromy PSL(2,F7)
摘要：
代数超几何函数在单值群较简单的情况下，如有限的循环群，可以紧表示为拉回曲线上的根函数。这些所谓的达布评价已经考虑了代数2F 1-函数。本文给出了3F 2-函数在单值投射群PSL（2，F7）上的经典情形的Darboux估计.作为应用，得到了相同3F 2-函数的模求值。
英文摘要：
Algebraic hypergeometric functions can be compactly expressed as radical functions on pull-back curves where the monodromy group is simpler, say, a finite cyclic group. These so-called Darboux evaluations were already considered for algebraic 2F1-functions. This article presents Darboux evaluations for the classical case of 3F2-functions with the projective monodromy group PSL(2,F7). As an application, appealing modular evaluations of the same 3F2-functions are derived.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
