Geodesic
Differential equations for Bessel-type functions
Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 25-29

Voir la notice de l'article provenant de la source Math-Net.Ru

The interrelation between analytic functions of special form and linear ordinary differential equations with variable coefficients having this functions as solution is established. This result applied to the finding of equations corresponding to generalized Bessel functions that are utilized for the proof of generalized Phillips formula of the inverse Laplace transformation. 
@article{VCHGU_2008_10_a2,
     author = {P. N. Davydov},
     title = {Differential equations for {Bessel-type} functions},
     journal = {Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika},
     pages = {25--29},
     publisher = {mathdoc},
     number = {10},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a2/}
}
TY  - JOUR
AU  - P. N. Davydov
TI  - Differential equations for Bessel-type functions
JO  - Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
PY  - 2008
SP  - 25
EP  - 29
IS  - 10
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a2/
LA  - ru
ID  - VCHGU_2008_10_a2
ER  - 
%0 Journal Article
%A P. N. Davydov
%T Differential equations for Bessel-type functions
%J Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika
%D 2008
%P 25-29
%N 10
%I mathdoc
%U http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a2/
%G ru
%F VCHGU_2008_10_a2
P. N. Davydov. Differential equations for Bessel-type functions. Vestnik Chelyabinskogo Gosudarstvennogo Universiteta. Matematika, Mekhanika, Informatika, no. 10 (2008), pp. 25-29. http://geodesic.mathdoc.fr/item/VCHGU_2008_10_a2/