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1.A. Chenaghlou and O. Faizy, J. Math. Phys. 49, 022104 (2008).
2.Y. L. Luke, The Special Functions and Their Approximations (Academic, New York, 1969), Vol. I.
3.I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic, New York, 1979).
4.L. C. Andrews, Special Functions for Engineers and Applied Mathematicians (MacMillan, New York, 1985).
5.A. P. Prudnikov, Yu. A. Brychkov, and O. I. Marichev, Integrals and Series, More Special Functions (Gordon and Breach, New York, 1990), Vol. 3.
6.A. M. Mathai, A Handbook of Generalized Special Functions for Statistical and Physical Sciences (Oxford University Press, New York, 1993).

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In a recently published paper in this journal [A. Cheaghlou and O. Faizy, J. Math. Phys.49, 022104 (2008)], the authors introduce the Gazeau–Klauder coherent states for the trigonometric Rosen–Morse potential as an infinite superposition of the wavefunctions. It is shown that their proposed measure to realize the resolution of the identity condition is not positive definite. Consequently, the claimed coherencies for the trigonometric Rosen–Morse wavefunctions cannot actually exist.


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