In this note we show that the two definitions of generalized index ${ }_{2}F_{1}$-transform given in the previous works [1] and [2] agree for distributions of compact support.
@article{118878, author = {Benito J. Gonz\'alez and Emilio R. Negrin}, title = {The link between the kernel method and the method of adjoints for the generalized index $\_2F\_1$-transform}, journal = {Commentationes Mathematicae Universitatis Carolinae}, volume = {37}, year = {1996}, pages = {691-694}, zbl = {0896.46028}, mrnumber = {1440701}, language = {en}, url = {http://dml.mathdoc.fr/item/118878} }
González, Benito J.; Negrin, Emilio R. The link between the kernel method and the method of adjoints for the generalized index $_2F_1$-transform. Commentationes Mathematicae Universitatis Carolinae, Tome 37 (1996) pp. 691-694. http://gdmltest.u-ga.fr/item/118878/
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