Formula:418

Digital Library of Mathematical Functions ID 1.12.E19

${\displaystyle{\displaystyle\sum^{n}_{k=0}c_{k}x^{k}=c_{0}+\cfrac{c_{1}x}{1-\cfrac{(\ifrac{c_{2}}{c_{1}})x}{1+(\ifrac{c_{2}}{c_{1}})x-\cfrac{(\ifrac{c_{3}}{c_{2}})x}{1+(\ifrac{c_{3}}{c_{2}})x-\cdots\cfrac{(\ifrac{c_{n}}{c_{n-1}})x}{1+(\ifrac{c_{n}}{c_{n-1}})x}}}},}}$

Constraint(s)

${\displaystyle{\displaystyle n=0,1,2,\dots}}$

Symbols List

• ${\displaystyle{\displaystyle k}}$: integer
• ${\displaystyle{\displaystyle n}}$: nonnegative integer
 

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