Generalized continued fraction

In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values. A n − 1 B n − A n B n − 1 = ( − 1 ) n a 1 a 2 ⋯ a n = Π i = 1 n ( − a i ) {displaystyle A_{n-1}B_{n}-A_{n}B_{n-1}=(-1)^{n}a_{1}a_{2}cdots a_{n}=Pi _{i=1}^{n}(-a_{i})}     (1) In complex analysis, a branch of mathematics, a generalized continued fraction is a generalization of regular continued fractions in canonical form, in which the partial numerators and partial denominators can assume arbitrary complex values.