Geodesic
$J$-symmetrical functions and series in the complex plane
Problemy analiza, no. 5 (1998), pp. 97-104 
P. Liczberski; J. Połubiński. $J$-symmetrical functions and series in the complex plane. Problemy analiza, no. 5 (1998), pp. 97-104. http://geodesic.mathdoc.fr/item/PA_1998_5_a1/
@article{PA_1998_5_a1,
     author = {P. Liczberski and J. Po{\l}ubi\'nski},
     title = {$J$-symmetrical functions and series in the complex plane},
     journal = {Problemy analiza},
     pages = {97--104},
     year = {1998},
     number = {5},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/PA_1998_5_a1/}
}
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TI  - $J$-symmetrical functions and series in the complex plane
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EP  - 104
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UR  - http://geodesic.mathdoc.fr/item/PA_1998_5_a1/
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%A J. Połubiński
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Voir la notice de l'article provenant de la source Math-Net.Ru

In the recent paper [1,2,3] the authors have introduced the notion of $(j,k)$-symmetrical functions, proved several properties of these functions and given their different applications. In the present paper the authors extend the considerations onto the $j$-symmetrical functions. They deduce the general form of $j$-symmetrical functions (thm.1) and show some criteria of expandability of a function into series with $j$-symmetrical components (thm.3 and thm.4).