2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61519In this paper we give quite pretty generalization of the formula of Frobenius-Stickelberger to all hyperelliptic curves. The formula of Kiepert type is also obtained by limiting process from this generalization. In Appendix a determinant expression of D.G. Cantor is also given.In this 8th version, Corollary 4.2 and Lemma 6.4 are particularly rewritten. (AMS-TeX, 30 pages)Number TheoryAlgebraic GeometryDeterminant Expressions for Hyperelliptic Functions (with an Appendix by Shigeki Matsutani)text