• HPL

  • Referenced in 61 articles [sw10415]
  • product algebra, the derivative properties, series expansion and numerical evaluation. The analytic continuation has been...
  • GJSAW

  • Referenced in 24 articles [sw19289]
  • Noonan and Zeilberger, to find series expansions for generating functions of interest in the theory...
  • GJsqfree

  • Referenced in 24 articles [sw19290]
  • Noonan and Zeilberger, to find series expansions for generating functions of interest in the theory...
  • GJseries

  • Referenced in 24 articles [sw19288]
  • Noonan and Zeilberger, to find series expansions for generating functions for the number of words...
  • hgm R

  • Referenced in 21 articles [sw08770]
  • step is usually performed by a series expansion. (3) Solve the holonomic system numerically...
  • CHAPLIN

  • Referenced in 15 articles [sw16362]
  • functions that are computed numerically using series expansions allowing for fast and reliable numerical results...
  • DiffExp

  • Referenced in 5 articles [sw37947]
  • integrals in terms of one-dimensional series expansions. DiffExp is a Mathematica package for integrating ... equations, in terms of one-dimensional series expansions along lines in phase-space, which ... parameter. DiffExp is based on the series expansion strategies that were explored in recent literature ... provide a public implementation of these series expansion methods, which works for any family...
  • BOKASUN

  • Referenced in 9 articles [sw00084]
  • methods: a Bernoulli accelerated series expansion and a Runge-Kutta numerical solution of a system...
  • Algorithm 745

  • Referenced in 8 articles [sw04688]
  • first time a set of series expansions is implemented allowing these special functions...
  • ReLaTIve

  • Referenced in 8 articles [sw07068]
  • based on a Laguerre polynomial series expansion of the inverse function and belongs...
  • Algorithm 796

  • Referenced in 7 articles [sw04665]
  • implemented is based on a Fourier series expansion of the inverse transform...
  • sunem

  • Referenced in 7 articles [sw10416]
  • routine implements the accelerated power series expansions obtained by solving the corresponding differential equations...
  • Algorithm 939

  • Referenced in 7 articles [sw12897]
  • methods of evaluation in different regions: series expansions, integral representations, asymptotic expansions...
  • BesselEval

  • Referenced in 6 articles [sw29448]
  • large and extremely small arguments and series expansions are used to evaluate Bessel functions...
  • AIZ

  • Referenced in 14 articles [sw04660]
  • Gaussian quadrature, Maclaurin series and asymptotic expansions. Comparison with a previous code...
  • BIZ

  • Referenced in 14 articles [sw04661]
  • Gaussian quadrature, Maclaurin series and asymptotic expansions. Comparison with a previous code...
  • Asymptotics

  • Referenced in 6 articles [sw14271]
  • Mathematica package for computing asymptotic series expansions of univariate holonomic sequences...
  • FGH

  • Referenced in 6 articles [sw10275]
  • Coulomb radial wave functions from series expansions. The code FGH is an up-dated version ... series solutions can lead to loss of accuracy due to cancellation effects. FGH provides...
  • hp.sr

  • Referenced in 5 articles [sw17821]
  • valued functions represented by a formal series expansion or to compute explicit approximants for them ... also allow for the construction of multi-series approximations which can be more powerful than...
  • Algorithm 926

  • Referenced in 4 articles [sw12901]
  • described. Series expansions and analytic continuation are employed to compute the function for certain critical...