The Convergence and Divergence of $q$-Continued Fractions outside the Unit Circle
Copyright policy )The Convergence and Divergence of $q$-Continued Fractions outside the Unit Circle
We consider two classes of $q$-continued fraction whose odd and even parts are limit 1-periodic for $|q|>1$, and give theorems which guarantee the convergence of the continued fraction, or of its odd- and even parts, at points outside the unit circle.
9 pages. arXiv admin note: text overlap with arXiv:1812.10878
- West Chester University United States
40A15, Mathematics - Number Theory, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Rogers-Ramanujan, Continued fractions, Number Theory, FOS: Mathematics, continued fractions, Number Theory (math.NT), Rogers-Ramanujan continued fractions, 11A55
40A15, Mathematics - Number Theory, Basic hypergeometric functions in one variable, \({}_r\phi_s\), Rogers-Ramanujan, Continued fractions, Number Theory, FOS: Mathematics, continued fractions, Number Theory (math.NT), Rogers-Ramanujan continued fractions, 11A55
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