perm filename HAIR.TEX[TEX,DEK] blob sn#342751 filedate 1978-03-24 generic text, type C, neo UTF8
COMMENT ⊗   VALID 00002 PAGES
C REC  PAGE   DESCRIPTION
C00001 00001
C00002 00002	Consider the formula{\tt$$
C00004 ENDMK
C⊗;
Consider the formula{\tt$$
\def\boxit#1{\vjust{\hrule
\hjust{\vrule\hskip 3pt\vjust{\vskip 3pt #1 \vskip 3pt}\hskip 3pt\vrule}
\hrule}}
\lg\ln\sqrt{\pi\over2}\neqv\left\char'656\left\bslash
{\leftvv P \rightvv + P↓j \cdot P↑2↓j \otimes {13 \over 691}{n\choose k}↑2
\above 1pt
{\textstyle\int↓{-∞}↑{+∞}x↑{\left\langle\prod↓{k\grgr0}a↓kb↓k\right\rangle}
↓{\sqrt{a↓j}}\,dx \over
\dispstyle\oint\limitswitch↓{|z|=1}
\overline{\int↓{\min(a↓i,0)}↑{\max(b↓{b↓j},0)}
\sum↓{\scriptstyle0≤i≤m\atop\scriptstyle0\prec j\prec n}{x}↑{\underline3}
\,d\theta}\;dz}}
\A{\A{\A A}}\vcenter{\boxit{\boxit{\vjust{\hjust{8}}}}}\right.
+O\left(\log↓3n\over n!\right)\right\char'657↓\alpha,\eqno[4a↑\prime]$$}\!
for $j=1,\ldots,n.$