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In this manuscript we present a detailed investigation of the form factors ofboundary fields of the sinh-Gordon model with a particular type of Dirichletboundary condition, corresponding to zero value of the sinh-Gordon field at theboundary, at the self-dual point. We follow for this the boundary form factorprogram recently proposed by Z. Bajnok, L. Palla and G. Takaks inhep-th/0603171, extending the analysis of the boundary sinh-Gordon modelinitiated there. The main result of the paper is a conjecture for the structureof all n-particle form factors of two particular boundary operators in terms ofelementary symmetric polynomials in certain functions of the rapidityvariables. In addition, form factors of boundary "descendant" fields have beenconstructedComment: 14 pages LaTex. Version to appear in J. Phys.

Boundary form factors of the sinh-Gordon model with Dirichlet boundary conditions at the self-dual point