If the expansion of the logarithmic integral is li(n)=log log n+gamma+sum_(k=1)^(oo) ((log n)^k)/(k!k) what is the inverse of the function?

Ayanna Goodman

Ayanna Goodman

Answered question

2022-11-14

If the expansion of the logarithmic integral is
li ( n ) = log log n + γ + k = 1 ( log n ) k k ! k
what is the inverse of the function?

Answer & Explanation

Abril Orr

Abril Orr

Beginner2022-11-15Added 14 answers

L i ( x ) 1 = x [ l n ( x ) + l n 2 ( x ) 1 + j = 1 m ( ) j 1 P j ( l n 2 ( n ) ) l n ( n ) j + o ( 1 l n ( n m ) ) ]
L i ( x ) 1 x ( l n ( x ) + l n 2 ( x ) 1 + l n 2 ( x ) 2 l n ( x ) l n 2 ( x ) 2 6 l n 2 ( x ) + 11 2 l n ( x ) 2 + )
where l n 2 ( x ) = l n ( l n ( x ) )

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