Publisher
American Mathematical Society (AMS)
Subject
Applied Mathematics,General Mathematics
Reference7 articles.
1. L. Euler, De fractionibus continuis, Introductio in analysin infinitorum, vol. 1, Chapter 18, 1748 (Opera Omnia, Series Prima, vol. 8, pp. 362-390).
2. A new class of continued fraction expansions for the ratios of hypergeometric functions;Frank, Evelyn;Trans. Amer. Math. Soc.,1956
3. C. F. Gauss, Disquisitiones generales circa seriem infinitam 1+𝛼𝛽𝑥/1⋅𝛾+𝛼(𝛼+1)⋅𝛽(𝛽+1)𝑥𝑥/1⋅2⋅𝛾(𝛾+1)+𝛼(𝛼+1)(𝛼+2)𝛽(𝛽+1)(𝛽+2)𝑥³/1⋅2⋅3⋅𝛾(𝛾+1)(𝛾+2)+𝑒𝑡𝑐., Werke, vol. 3 (1876) pp. 125-162.
4. E. Heine, Über die Reihe \[1 + ( \frac{(q^{𝛼} - 1)(q^{𝛽} - 1)}(q - 1)(q^{𝛾} - 1) )x + ( \frac{(q^{𝛼} - 1)(q^{𝛼+ 1} - 1)(q^{𝛽} - 1)(q^{𝛽+ 1} - 1)}(q - 1)(q^{2} - 1)(q^{𝛾} - 1)(q^{𝛾+ 1} - 1) )x^{2} + ⋯,\] Jrn. für Math. vol. 32 (1846) pp. 210-212.
5. \bysame, Untersuchungen über die Reihe \[1 + ( \frac{(1 - q^{𝛼})(1 - q^{𝛽})}(1 - q)(1 - q^{𝛾}) )x + ( \frac{(1 - q^{𝛼})(1 - q^{𝛼+ 1})(1 - q^{𝛽})(1 - q^{𝛽+ 1})}(1 - q)(1 - q^{2})(1 - q^{𝛾})(1 - q^{𝛾+ 1}) )x^{2} + ⋯,\] Jrn. für Math. vol. 34 (1847) pp. 285-328.
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