English (United Kingdom)

https://curated-unify.zendy.io/wp-json/zendy-region/v1/featured_content/oa?rat=en

https://curated-unify.zendy.io/wp-json/zendy-region/v1/highlighted_journal/

Global: Zendy Plus annual

Presents the access of premium content as premium feature

Premium Content

Presents the keyphrase highlighting as premium feature

Keyphrase Highlighting

Presents the summarisation as premium feature

Summarisation

Insights

Presents the pdf analysis as premium feature

PDF Analysis

Presents the zaia usage as premium feature

ZAIA

Global: Zendy Tools annual

Global: Zendy Free Plan

Global: Zendy Tools monthly

Global: Zendy Plus monthly

Simple derivation is presented of the four families of infinitely many shapeinvariant Hamiltonians corresponding to the exceptional Laguerre and Jacobipolynomials. Darboux-Crum transformations are applied to connect the well-knownshape invariant Hamiltonians of the radial oscillator and theDarboux-P\"oschl-Teller potential to the shape invariant potentials ofOdake-Sasaki. Dutta and Roy derived the two lowest members of the exceptionalLaguerre polynomials by this method. The method is expanded to its fullgenerality and many other ramifications, including the aspects of generalisedBochner problem and the bispectral property of the exceptional orthogonalpolynomials, are discussed.

Exceptional Laguerre and Jacobi polynomials and the corresponding potentials through Darboux-Crum Transformations