# fractional

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## 1—10 of 108 matching pages

##### 1: 12.6 Continued Fraction
###### §12.6 Continued Fraction
For a continued-fraction expansion of the ratio $\ifrac{U\left(a,x\right)}{U\left(a-1,x\right)}$ see Cuyt et al. (2008, pp. 340–341).
##### 2: 10.55 Continued Fractions
###### §10.55 Continued Fractions
For continued fractions for $\mathsf{j}_{n+1}\left(z\right)/\mathsf{j}_{n}\left(z\right)$ and ${\mathsf{i}^{(1)}_{n+1}}\left(z\right)/{\mathsf{i}^{(1)}_{n}}\left(z\right)$ see Cuyt et al. (2008, pp. 350, 353, 362, 363, 367–369).
##### 3: 3.10 Continued Fractions
###### Stieltjes Fractions
is called a Stieltjes fraction ($S$-fraction). …
###### Jacobi Fractions
The continued fraction
##### 5: 13.5 Continued Fractions
###### §13.5 Continued Fractions
This continued fraction converges to the meromorphic function of $z$ on the left-hand side everywhere in $\mathbb{C}$. For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980). … This continued fraction converges to the meromorphic function of $z$ on the left-hand side throughout the sector $|\operatorname{ph}{z}|<\pi$. …
##### 8: 13.17 Continued Fractions
###### §13.17 Continued Fractions
13.17.1 $\frac{\sqrt{z}M_{\kappa,\mu}\left(z\right)}{M_{\kappa-\frac{1}{2},\mu+\frac{1}% {2}}\left(z\right)}=1+\cfrac{u_{1}z}{1+\cfrac{u_{2}z}{1+\cdots}},$
This continued fraction converges to the meromorphic function of $z$ on the left-hand side for all $z\in\mathbb{C}$. For more details on how a continued fraction converges to a meromorphic function see Jones and Thron (1980). … This continued fraction converges to the meromorphic function of $z$ on the left-hand side throughout the sector $|\operatorname{ph}{z}|<\pi$. …
##### 10: 4.39 Continued Fractions
###### §4.39 Continued Fractions
For these and other continued fractions involving inverse hyperbolic functions see Lorentzen and Waadeland (1992, pp. 569–571). …