Geodesic
Representation of solutions of the two-dimensional gravitational-gyroscopic wave equation by generalized Taylor and Laurent series
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1728-1740 Cet article a éte moissonné depuis la source Math-Net.Ru

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The two-dimensional gravitational-gyroscopic wave equation is considered. Methods analogous to those of the theory of functions of a complex variable are used to develop expansions similar to Taylor and Laurent series for the functions in question. These expansions are used to investigate the Dirichlet problem for a half-plane. 
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Yu. D. Pletner. Representation of solutions of the two-dimensional gravitational-gyroscopic wave equation by generalized Taylor and Laurent series. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 11, pp. 1728-1740. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_11_a10/

[1] Pletner Yu. V., O strukturnykh svoistvakh reshenii uravneniya gravitatsionno-giroskopicheskikh voln, Dep. v VINITI, No 1058-V89, 1989 | Zbl

[2] Pletner Yu. D., “Strukturnye svoistva reshenii uravneniya gravitatsionno-giroskopicheskikh voln i yavnoe reshenie odnoi zadachi dinamiki stratifitsirovannoi vraschayuscheisya zhidkosti”, Zh. vychisl. matem. i matem. fiz., 30:10 (1990), 1513–1525 | MR | Zbl

[3] Sveshnikov A. G., Tikhonov A. N., Teoriya funktsii kompleksnoi peremennoi, Nauka, M., 1970 | MR

[4] Maslennikova V. N., Bogovskii M. E., “Asimptoticheskoe povedenie reshenii kraevykh zadach dlya sistemy Soboleva v poluprostranstve i yavlenie pogransloya”, Matem. analiz i smezhnye vopr. matem., Nauka, Novosibirsk, 1978, 109–152 | MR