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The paper collates a complete list of nodeless regular almost-everywhereholomorphic (AEH) solutions for a subset of rational canonical Sturm-Liouvilleequations (RCSLEs) exactly quantized on a finite interval by classical Jacobipolynomials. The subset was constrained by the requirement that the appropriateLiouville transformation results in the Schrodinger equation on the line. Thecommon remarkable feature of the selected nodeless solutions co-existent withthe discrete energy spectrum is that they can be used as seed functions formulti-step 'canonical Liouville-Darboux transformations' (CLDTs) to convert theGauss-Reference (GRef) potential (appearing in the resultant Schrodingerequation) into its isospectral rational SUSY partners conditionally exactlyquantized by the so-called 'Jacobi-Seed' Heine polynomials.

Survey of Nodeless Regular Almost-Everywhere Holomorphic Solutions for  Exactly Solvable Gauss-Reference Liouville Potentials on the Line I.Subsets  of Nodeless Jacobi-Seed Solutions Co-Existent with Discrete Energy Spectrum