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Singular Points of Certain Functions Represented by C-Fractions


Affiliations
1 Department of Mathematics, U.S. Air Force Academy, Colorado 80840, United States
2 University of Colorado, Colorado, United States
     

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These are the so-called C-fractions or corresponding type continued fractions. Leighton and Scott proved that every power series admits an expansion into a continued fraction of the form (1.1).
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  • Singular Points of Certain Functions Represented by C-Fractions

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Authors

N. P. Callas
Department of Mathematics, U.S. Air Force Academy, Colorado 80840, United States
W. J. Thron
University of Colorado, Colorado, United States

Abstract


These are the so-called C-fractions or corresponding type continued fractions. Leighton and Scott proved that every power series admits an expansion into a continued fraction of the form (1.1).