Geodesic
On analogues of third order Bessel function
Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 12-17 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

We consider the problem on eigenfunctions of differential operators semiinvariant w.r.t. to the group of shifts. We obtain a solvability condition in terms of primitive functions and show a connection of this condition with the theory of commutative rings of differential operators.
Keywords: generalized Bessel functions
Mots-clés : Darboux transformations. 
@article{UFA_2014_6_1_a1,
     author = {F. Kh. Baichorova},
     title = {On analogues of third order {Bessel} function},
     journal = {Ufa mathematical journal},
     pages = {12--17},
     year = {2014},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a1/}
}
TY  - JOUR
AU  - F. Kh. Baichorova
TI  - On analogues of third order Bessel function
JO  - Ufa mathematical journal
PY  - 2014
SP  - 12
EP  - 17
VL  - 6
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a1/
LA  - en
ID  - UFA_2014_6_1_a1
ER  - 
%0 Journal Article
%A F. Kh. Baichorova
%T On analogues of third order Bessel function
%J Ufa mathematical journal
%D 2014
%P 12-17
%V 6
%N 1
%U http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a1/
%G en
%F UFA_2014_6_1_a1
F. Kh. Baichorova. On analogues of third order Bessel function. Ufa mathematical journal, Tome 6 (2014) no. 1, pp. 12-17. http://geodesic.mathdoc.fr/item/UFA_2014_6_1_a1/

[1] Shabat A. B., Elkanova Z. S., Urusova A. B., “Dvustoronnie preobrazovaniya Darbu”, Teoreticheskaya matematicheskaya fizika, 173:2 (2012), 207–218 | DOI | Zbl

[2] Ilyashenko Yu. S., Yakovenko S. Yu., Analiticheskaya teoriya differentsialnykh uravnenii, Moskva, 2013

[3] Ains E. L., Obyknovennye differentsialnye uravneniya, NTIU, Kharkov, 1939, 719 pp.

[4] Baichorova F. Kh., Elkanova Z. S., “Kommutiruyuschie differentsialnye operatory poryadkov 4 i 6”, Ufimskii matematicheskii zhurnal, 5:3 (2013), 12–19

[5] M. Saito, B. Sturmfels, N. Takayama, Grobner Deformations of Hypergeometric Differential Equations, Springer-Verlag, Berlin–Heidelberg, 2000 | MR