6 citations · 6 across the 1 of their papers we have counts for
4 papers
Quantization of rationally deformed Morse potentials by Wronskian transforms of Romanovski-Bessel polynomials
Gregory Natanson
The paper advances the suggestion by Odake and Sasaki to re-write eigenfunctions of rationally deformed Morse potentials in terms of Wronskians of Laguerre polynomials in the recip…
Biorthogonal Polynomial System Composed of X-Jacobi Polynomials from Different Sequences
Gregory Natanson
The paper examines rational Darboux transformations (RDTs) of the Jacobi equation written in the canonical form, with emphasis on the Sturm-Liouville problems (SLPs) solved under t…
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
Gregory Natanson
The paper collates a complete list of nodeless regular almost-everywhere holomorphic (AEH) solutions for a subset of rational canonical Sturm-Liouville equations (RCSLEs) exactly q…
Dutt-Khare-Varshni Potential and Its Quantized-by-Heun-Polynomials SUSY Partners as Nontrivial Examples of Solvable Potentials Explicitly Expressible in Terms of Elementary Functions
G. Natanson
The paper presents a detailed analysis of the so-called "Double-Root Tangent-Polynomial" (DRtTP) reduction of the regular Gauss-reference (r-GRef) potential exactly solvable by hyp…