Feature Wishlist

[NAThompson]

• Modified Clenshaw recurrence for all special functions governed by 3-term recurrence relations.
• Higher dimensional interpolation (Akima has a natural generalization to higher dimensions, but there's some work on getting the API correct.)
• Prolate spheroidal wavefunctions
• Higher dimensional quadrature; sparse grids for medium dimensionality, extensions of Gaussian quadrature in lower dimensions.
• Wavelet transforms, shearlets
• Bivariate interpolation and quadrature at the Padua points
• Von Mises distribution
• Gauss-Hermite quadrature
• Generalized Laguerre polynomials
• Interpolation with different units

What else is a natural fit for the library, and is useful?

[ckormanyos]

What else is a natural fit for the library, and is useful?

• Make further progress on zeta, phi and friends (Lerch phi transcendent, polylog, and more).
• Extend constants to higher precision such as 10,000 decimal digits and get them tested.
• Evaluate recent progress in the literature on Bernoulli number generation (can we save memory and/or time compared with extracting Bn from tangent numbers?).

[ckormanyos]

What else is a natural fit for the library, and is useful?

• Legendre functions and associated Legendre functions of arbitrary (non-integer real) order and degree.
• More special functions of complex argument, particularly on the unit disk. Gamma should be a reasonable place to start. Perhaps complex orthogonal polynomials if these are calculated from straightforward recursion.
• FFT

[NAThompson]

Friends, if you don't mind, I'm going to clean up this thread since it kinda got off topic and many of the off-topic issues have been resolved.