• ORTHPOL

  • Referenced in 82 articles [sw00659]
  • methods, are described for generating orthogonal polynomials relative to arbitrary weight functions. The object ... coefficients in the three-term recurrence relation satisfied by the orthogonal polynomials. Once these...
  • LiteRed

  • Referenced in 77 articles [sw16341]
  • differential equations and dimensional recurrence relations...
  • MATAD

  • Referenced in 46 articles [sw00550]
  • used in order to obtain recurrence relations which reduce complicated integrals to a small...
  • COSTA

  • Referenced in 24 articles [sw00162]
  • which is an extended form of recurrence relations. In order to obtain a closed ... recursive) form for such recurrence relations which represents an upper bound, COSTA includes a dedicated...
  • na5

  • Referenced in 24 articles [sw11489]
  • recurrence relation forP k , the coefficients are given as ratios of scalar products. When...
  • PURRS

  • Referenced in 9 articles [sw05465]
  • PURRS (the Parma University’s Recurrence Relation Solver) is a C++ library for the (possibly ... approximate) solution of recurrence relations. To be more precise, the PURRS will solve: (a) linear ... constant coefficient recurrence relations of finite order (when the order is 1, parametric coefficients will ... allowed); (b) linear recurrence relations of the first order with variable coefficients; (c) systems...
  • TARCER

  • Referenced in 12 articles [sw00948]
  • calculations. Solution method: The system of recurrence relations given by Tarasov...
  • NumGfun

  • Referenced in 12 articles [sw06716]
  • solutions of linear differential equations or recurrence relations with polynomial coefficients, including what seems...
  • Algorithm 939

  • Referenced in 7 articles [sw12897]
  • three-term homogeneous recurrence relations. A relative accuracy close to 10 -12 can be obtained...
  • na15

  • Referenced in 6 articles [sw11491]
  • sequence of polynomials. We deduce the recurrence relations for the Chebyshev and the Modified Chebyshev...
  • DREAM

  • Referenced in 3 articles [sw25782]
  • arbitrary-precision computation of dimensional recurrence relations solutions, and its applications. We present the Mathematica ... Analyticity) method as solutions of dimensional recurrence relations. Starting from these relations, the package automatically ... homogeneous solutions of the higher-order recurrence relations (and can construct those of the first ... order recurrence relations automatically). Therefore, this package can be used to apply the DRA method...
  • LaguerrePol

  • Referenced in 5 articles [sw22277]
  • presented. The standard three-term recurrence relation satisfied by the polynomials and different types...
  • RComp

  • Referenced in 5 articles [sw00785]
  • sequences that satisfy some linear recurrence relation with constant coefficients is considered. Operations over this...
  • CAOP

  • Referenced in 5 articles [sw10033]
  • present version users can compute recurrence relations, differential and difference equations or make a plot...
  • na3

  • Referenced in 4 articles [sw11514]
  • Implementation of the recurrence relations of biorthogonality.General algorithms for computing some generalized Padé-type approximants...
  • RMOP

  • Referenced in 4 articles [sw41350]
  • coefficients in the three-term recurrence relation of repeatedly modified orthogonal polynomials, the modifications involving...
  • LDA

  • Referenced in 4 articles [sw21695]
  • computing groebner bases for linear recurrence relations. A Maple package for computing Gröbner bases...
  • Conical

  • Referenced in 4 articles [sw19757]
  • tests of the three-term recurrence relation satisfied by these functions and direct comparison with...
  • rec2ortho

  • Referenced in 2 articles [sw42178]
  • coefficients of a three-term recurrence relation for orthogonal polynomials as input, and which returns ... system of OP’s solving these recurrence relations, provided it belongs to the Askey scheme...
  • ATOMCC

  • Referenced in 3 articles [sw09275]
  • system. The object program uses recurrence relations to generate the series and a radius...