Group-theoretic properties of a generalization of Bessel functions
Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 2, pp. 138-148.

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

@article{SJIM_2007_10_2_a14,
     author = {M. D. Khriptun},
     title = {Group-theoretic properties of a generalization of {Bessel} functions},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {138--148},
     publisher = {mathdoc},
     volume = {10},
     number = {2},
     year = {2007},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2007_10_2_a14/}
}
TY  - JOUR
AU  - M. D. Khriptun
TI  - Group-theoretic properties of a generalization of Bessel functions
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2007
SP  - 138
EP  - 148
VL  - 10
IS  - 2
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2007_10_2_a14/
LA  - ru
ID  - SJIM_2007_10_2_a14
ER  - 
%0 Journal Article
%A M. D. Khriptun
%T Group-theoretic properties of a generalization of Bessel functions
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2007
%P 138-148
%V 10
%N 2
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2007_10_2_a14/
%G ru
%F SJIM_2007_10_2_a14
M. D. Khriptun. Group-theoretic properties of a generalization of Bessel functions. Sibirskij žurnal industrialʹnoj matematiki, Tome 10 (2007) no. 2, pp. 138-148. http://geodesic.mathdoc.fr/item/SJIM_2007_10_2_a14/

[1] Wright E. M., “On the coefficients of power series having exponential singularities”, J. London Math. Soc., 8 (1933), 71–79 | DOI | Zbl

[2] Humbert P., Agarwal R. P., “Sur la fonction de Mittag-Leffler et quelques-unes de ses generalisations”, Bull. Sci. Math. Ser. 10, 77 (1953), 180–185 | MR | Zbl

[3] Khriptun M. D., “Pro odne diferentsialne rivnyannya vischogo poryadku”, Dopovidi AN URSR, 1960, no. 3, 289–293 | Zbl

[4] Khriptun M. D., “Ob odnom lineinom obyknovennom differentsialnom uravnenii vysshego poryadka”, Ukr. mat. zhurn., 15:3 (1963), 277–289 | Zbl

[5] Khriptun M. D., “Teoremy umnozheniya dlya reshenii obobschennogo differentsialnogo uravneniya Besselya $m$-go poryadka”, Differents. uravneniya, 11:2 (1975), 287–293 | Zbl

[6] Ains E. L., Obyknovennye differentsialnye uravneniya, Kharkov, 1939

[7] Smirnov V. I., Kurs vysshei matematiki, T. 3, chast 2, M., 1953

[8] Vilenkin N. Ya., Spetsialnye funktsii i teoriya predstavlenii grupp, Nauka, M., 1965 | MR

[9] Miller W., Lie Theory and Special Functions, Mathematics in Science and Engineering, 43, Acad. Press, New York, London, 1968 | MR | Zbl

[10] Khriptun M. D., “Teoretiko-gruppovye svoistva obobschennykh funktsii Besselya, udovletvoryayuschikh obyknovennomu differentsialnomu uravneniyu tretego poryadka”, Obratnye zadachi dlya differentsialnykh uravnenii matfiziki, Sb. nauch. trudov, izd. VTs SO RAN, Novosibirsk, 1978, 132–149 | MR

[11] Korenev B. G., Vvedenie v teoriyu besselevykh funktsii, Nauka, M., 1971 | MR | Zbl