Some concrete shapes of degenerate Stokes curves of hypergeometric differential equations with a large parameter

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[Abstract]Although Stokes curves of differential equations with a large parameter are transcendental objects in general, in some degenerate cases they become real algebraic or semialgebraic sets and the defining equations are explicitly given for hypergeometric differential equations with a large parameter. Classically well-known curves, such as lemniscate and limacon appear for special values of parameters. Some explicit shapes play a role in a topological classification of Stokes curves of hypergeometric differential equations.