Geodesic
The asymptotics for eigenvalues of a differential Jacobi-type operator with $\alpha=\frac{1}{2}$ and $\beta=-\frac{1}{2}$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 309-312

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Using the perturbation theory corrections we find the asymptotics for eigenvalues of a differential Jacobi-type operator with $\alpha=\frac{1}{2}$ and $\beta=-\frac{1}{2}$ with coefficient up to sum-converging members. 
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     author = {A. I. Sedov},
     title = {The asymptotics for eigenvalues of a differential {Jacobi-type} operator with $\alpha=\frac{1}{2}$ and $\beta=-\frac{1}{2}$},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {309--312},
     publisher = {mathdoc},
     volume = {2},
     number = {1},
     year = {1996},
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     url = {http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a19/}
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A. I. Sedov. The asymptotics for eigenvalues of a differential Jacobi-type operator with $\alpha=\frac{1}{2}$ and $\beta=-\frac{1}{2}$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 2 (1996) no. 1, pp. 309-312. http://geodesic.mathdoc.fr/item/FPM_1996_2_1_a19/