Geodesic
Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1545-1565

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Some issues concerning expansions of functions of two variables in mixed Fourier–Bessel series are considered. In particular, the rate of their convergence in the classes of functions characterized by generalized moduli of continuity are estimated, and estimates of the remainder terms are obtained. 
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     author = {V. A. Abilov and M. K. Kerimov},
     title = {Some estimates for the error in mixed {Fourier{\textendash}Bessel} expansions of functions of two variables},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {9},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_9_a1/}
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V. A. Abilov; M. K. Kerimov. Some estimates for the error in mixed Fourier–Bessel expansions of functions of two variables. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 46 (2006) no. 9, pp. 1545-1565. http://geodesic.mathdoc.fr/item/ZVMMF_2006_46_9_a1/