Geodesic
Continuation of polyanalytic functions
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 37-45

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

It is considered the problem of continuation the $n$ analytic function in to a domain by values of its sequential derivatives up to the $(n-1)$-th order on a part of the boundary. It is also considered the problem of inversion of a Cauchy type integral to a Cauchy integral for such functions.
Keywords: Cauchy-Riemann equation, $n$-analytic function, Cauchy theorem, Sokhotskiy-Plemelh formula
Mots-clés : continuation formula. 
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     author = {T. Ishankulov and D. Sh. Fozilov},
     title = {Continuation of polyanalytic functions},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {37--45},
     publisher = {mathdoc},
     number = {8},
     year = {2021},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2021_8_a3/}
}
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T. Ishankulov; D. Sh. Fozilov. Continuation of polyanalytic functions. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 8 (2021), pp. 37-45. http://geodesic.mathdoc.fr/item/IVM_2021_8_a3/