# connected

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## 1—10 of 102 matching pages

##### 1: 8.23 Statistical Applications
###### §8.23 Statistical Applications
The function $\mathrm{B}_{x}\left(a,b\right)$ and its normalization $I_{x}\left(a,b\right)$ play a similar role in statistics in connection with the beta distribution; see Johnson et al. (1995, pp. 210–275). …
##### 2: 21.10 Methods of Computation
###### §21.10(ii) Riemann Theta Functions Associated with a Riemann Surface
• Deconinck and van Hoeij (2001). Here a plane algebraic curve representation of the Riemann surface is used.

• ##### 3: 28.27 Addition Theorems
Addition theorems provide important connections between Mathieu functions with different parameters and in different coordinate systems. …
##### 4: 36.14 Other Physical Applications
Diffraction catastrophes describe the connection between ray optics and wave optics. … Diffraction catastrophes describe the “semiclassical” connections between classical orbits and quantum wavefunctions, for integrable (non-chaotic) systems. …
##### 5: 12.16 Mathematical Applications
In Brazel et al. (1992) exponential asymptotics are considered in connection with an eigenvalue problem involving PCFs. …
##### 6: 17.18 Methods of Computation
Lehner (1941) uses Method (2) in connection with the Rogers–Ramanujan identities. …
##### 7: 31.18 Methods of Computation
Subsequently, the coefficients in the necessary connection formulas can be calculated numerically by matching the values of solutions and their derivatives at suitably chosen values of $z$; see Laĭ (1994) and Lay et al. (1998). …
##### 8: Peter Paule
Paule’s main research interests are computer algebra and algorithmic mathematics, together with connections to combinatorics, special functions, number theory, and other related fields. …
##### 9: 13.27 Mathematical Applications
Confluent hypergeometric functions are connected with representations of the group of third-order triangular matrices. …
##### 10: Mark J. Ablowitz
Widespread interest in Painlevé equations re-emerged in the 1970s and thereafter partially due to the connection with IST and integrable systems. …