Ordinary Continued Fractions Research Articles

On a Class of Continued Fractions

The continued fractions treated in this paper are of the general formwhere s0, s1, s2, … are real integers (positive, negative, or zero). An arbitrary real number can, of course, be developed in such a fraction in an infinite variety of ways. The continued fractions discussed here have a number of striking properties and present numerous contrasts with the ordinary continued fraction usually employed.