Geodesic
A~new approach to Fourier method in mixed problem for one singular differential operator
Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 935-938.

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The article provides an evident example of a new approach to the substantiation of Fourier analysis for a singular differential equation in partial derivatives, whose solution is based on the orthogonal polynomial system of Legendre. 
@article{FPM_2001_7_3_a22,
     author = {V. V. Dubrovskii and E. M. Gugina},
     title = {A~new approach to {Fourier} method in mixed problem for one singular differential operator},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {935--938},
     publisher = {mathdoc},
     volume = {7},
     number = {3},
     year = {2001},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a22/}
}
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V. V. Dubrovskii; E. M. Gugina. A~new approach to Fourier method in mixed problem for one singular differential operator. Fundamentalʹnaâ i prikladnaâ matematika, Tome 7 (2001) no. 3, pp. 935-938. http://geodesic.mathdoc.fr/item/FPM_2001_7_3_a22/