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Zeros of the Green's function for the de la Vallée-Poussin problem

© 2008 Russian Academy of Sciences, (DoM) and London Mathematical Society, Turpion Ltd
, , Citation Yu V Pokornyĭ 2008 Sb. Math. 199 891 DOI 10.1070/SM2008v199n06ABEH003946

1064-5616/199/6/891

Abstract

The Green's function for the de la Vallée-Poussin problem

 
 

where , , , and , is investigated. It is defined in the square , and vanishes at the lines , , , ; it is proved that the orders of its zeros have uniform bounds. Bibliography: 27 titles.

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10.1070/SM2008v199n06ABEH003946