Geodesic
On quadratic forms generated by the Neumann functions
Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 157-177

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

Quadratic forms depending on the values of Neumann functions are studied. Monotonic behavior under extension of domain and polarization was proved. Also the behavior of this quadratic form under conformal univalent mapping was researched. As an application, the distortion theorem generalizing the results of Dubinin, Kim in the case of finitely connected domain are derived. 
@article{ZNSL_2014_429_a11,
     author = {E. G. Prilepkina},
     title = {On quadratic forms generated by the {Neumann} functions},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {157--177},
     publisher = {mathdoc},
     volume = {429},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a11/}
}
TY  - JOUR
AU  - E. G. Prilepkina
TI  - On quadratic forms generated by the Neumann functions
JO  - Zapiski Nauchnykh Seminarov POMI
PY  - 2014
SP  - 157
EP  - 177
VL  - 429
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a11/
LA  - ru
ID  - ZNSL_2014_429_a11
ER  - 
%0 Journal Article
%A E. G. Prilepkina
%T On quadratic forms generated by the Neumann functions
%J Zapiski Nauchnykh Seminarov POMI
%D 2014
%P 157-177
%V 429
%I mathdoc
%U http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a11/
%G ru
%F ZNSL_2014_429_a11
E. G. Prilepkina. On quadratic forms generated by the Neumann functions. Zapiski Nauchnykh Seminarov POMI, Analytical theory of numbers and theory of functions. Part 29, Tome 429 (2014), pp. 157-177. http://geodesic.mathdoc.fr/item/ZNSL_2014_429_a11/