Ðàçëîaeåíèÿ Êðàòíûõ Èíòåãðàëîâ Â Ëèíåéíûå Ôîðìû

  • Ñ À Çëîáèí
  • Published 2005

Abstract

[0,1]3 x(1 − x)y(1 − y)z(1 − z) (1 − z(1 − xy))n+1 dx dy dz, (1) ïðåäëîæåííûå Ô. Áåéêåðñîì [1] â 1979 ã. ïîñëå äîêàçàòåëüñòâà Àïåðè èððàöèîíàëüíîñòè ζ(3), ìîãóò áûòü ïðåäñòàâëåíû â âèäå ëèíåéíûõ ôîðì îò 1, ζ(2) è 1, ζ(3) ñîîòâåòñòâåííî. Ïîïûòêè îáîáùåíèÿ ýòèõ èíòåãðàëîâ ïðåäïðèíèìàëèñü â ðàáîòàõ [2], [3], [4].  ÷àñòíîñòè, Â.Â. Çóäèëèí â [4] äîêàçàë, ÷òî ïðè íåêîòîðûõ óñëîâèÿõ íà ïàðàìåòðû, èíòåãðàë V (1), ãäå

Cite this paper

@inproceedings{2005ae, title={Ð{\`a}ç{\"{e}{\^i}ae{\aa}{\'i}{\`e}{\"{y} {\^E}ð{\`a}{\`o}{\'i}{\^u}{\~o} {\`E}{\'i}{\`o}{\aa}{\~a}ð{\`a}{\"{e}{\^i}{\^a} {\^A} {\"E}{\`e}{\'i}{\aa}{\'e}{\'i}{\^u}{\aa} {\^O}{\^i}ð{\`i}{\^u}}, author={{\~N} {\`A} Ç{\"{e}{\^i}{\'a}{\`e}{\'i}}, year={2005} }