A guide to the reading of the 8 pages of this ``Fast Track
Communication'' (with 7 self-citations but, still, with not enough
relevant references) lies in the ``Note added in proof'' where C.
Quesne is acknowledged. She pointed out the existence of papers [24,
25] which offered certain very closely related results two years
earlier. Hence, the present reviewer's recommendation is that the
potential readers should complement (or even replace) their reading
of the very routine first four pages of the text under review
(introducing just relation (22) which is taken from the Quesne's
2008 pioneering paper [9] and which is just further analyzed via
examples in the second half of the paper) by their reading of paper
[9] itself. This will reward them by a proper understanding of the
message. Especially if the study were further complemented by the
inspiring discovery (see D. Gomez-Ullate, N. Kamran and R. Milson,
J. Math. Anal. Appl. 359 (2009) 352-367) of the underlying
$X_1$-Jacobi and $X_1$-Laguerre polynomials. Precisely this offers
the extension (rather than ``deformation'') of the class of
classical orthogonal polynomials as mentioned in the Abstract of the
text under review.
MR2823437 Ramos, Arturo On the new translational shape-invariant
potentials. J. Phys. A 44 (2011), no. 34, 342001, 9 pp. 81Qxx