Matching Tag: natural-boundaries
Natural-boundary conjecture. The function
Let W ( x , y ) = ∑ n , m a n , m x n y m W(x,y)=\sum_{n,m}a_{n,m}x^ny^m W ( x , y ) = ∑ n , m a n , m x n y m W ( x , 0 ) = 1 W(x,0)=1 W ( x , 0 ) = 1 β = max { n m : m ≥ 1 , a n , m ≠ 0 } \beta=\max\{\frac{n}{m}:m\geq 1,\ a_{n,m}\neq 0\} β = max { m n : m ≥ 1 , a n , m = 0 }
Let W ( x , y ) = ∑ n , m a n , m x n y m W(x,y)=\sum_{n,m}a_{n,m}x^ny^m W ( x , y ) = ∑ n , m a n , m x n y m W ( x , 0 ) = 1 W(x,0)=1 W ( x , 0 ) = 1 β = max { n / m : a n , m ≠ 0 } \beta=\max\{n/m:a_{n,m}\neq 0\} β = max { n / m : a n , m = 0 }
