• Hypexp

  • Referenced in 46 articles [sw00425]
  • HypExp 2, Expanding hypergeometric functions about half-integer parameters. In this article, we describe ... algorithm for the expansion of hypergeometric functions about half-integer parameters. The implementation of this ... algorithm for certain classes of hypergeometric functions in the already existing Mathematica package HypExp...
  • HYPERDIRE

  • Referenced in 12 articles [sw12298]
  • HYPERDIRE, HYPERgeometric functions DIfferential REduction: MATHEMATICA-based packages for differential reduction of generalized hypergeometric functions ... programs for the differential reduction of hypergeometric functions. The current version includes two parts ... relevant for manipulations of hypergeometric functions p+1Fpp+1Fp, and the other, AppellF1F4 ... manipulations with Appell hypergeometric functions F1,F2,F3,F4F1,F2,F3,F4 of two variables...
  • XSummer

  • Referenced in 22 articles [sw06109]
  • XSummer -- transcendental functions and symbolic summation in form Harmonic sums and their generalizations are extremely ... example, from the expansion of generalized hypergeometric functions around integer values of the parameters...
  • Lauricella Functions

  • Referenced in 8 articles [sw23502]
  • functions are generalizations of the Gauss hypergeometric functions to multiple variables. Four such generalizations were...
  • F1

  • Referenced in 5 articles [sw09110]
  • compute Appell’s F 1 hypergeometric function. We present the FORTRAN code to compute ... hypergeometric function F 1 (α,β 1 ,β 2 ,γ,x,y) of Appell...
  • NumExp

  • Referenced in 3 articles [sw16825]
  • NumExp: numerical epsilon expansion of hypergeometric functions. It is demonstrated that the well-regularized hypergeometric ... package NumExp is presented for expanding hypergeometric functions and/or other transcendental functions in a small ... regularization parameter. The hypergeometric function is expressed as a Laurent series in the regularization parameter ... works for a wide variety of hypergeometric functions, which are needed in the context...
  • CONHYP

  • Referenced in 4 articles [sw00152]
  • numerical evaluator of the confluent hypergeometric function for complex arguments of large magnitudes A numerical ... evaluator for the confluent hypergeometric function for complex arguments with large magnitudes using a direct...
  • hypergeo

  • Referenced in 3 articles [sw25151]
  • package hypergeo: The Gauss Hypergeometric Function. The Gaussian hypergeometric function for complex numbers...
  • CMPT

  • Referenced in 4 articles [sw01132]
  • three- dimensional integral of a degenerate hypergeometric function multiplied by a plane wave, an exponential...
  • CRADINTEG

  • Referenced in 4 articles [sw04259]
  • integrals are expressed in terms of hypergeometric functions, which are numerically obtained...
  • appell

  • Referenced in 2 articles [sw11004]
  • appell: Compute Appell’s F1 hypergeometric function. This package wraps Fortran code ... computing the Appell’s F1 hypergeometric function. Their program uses Fortran code ... Watts. Moreover, the hypergeometric function with complex arguments is computed with Fortran code...
  • pFq

  • Referenced in 1 article [sw20903]
  • Generalized hypergeometric function, Calculates the Generalized Hypergeometric Function at the desired accuracy. A numerical evaluator ... generalized hypergeometric function for complex arguments with large magnitudes using a direct summation...
  • ba5.2

  • Referenced in 2 articles [sw10445]
  • contains two hypergeometric functions F(a,b;c;x)F(a,b;c;x), which...
  • ComputeBelyi

  • Referenced in 11 articles [sw08775]
  • analysis, Galois theory. However, computation of Belyi functions of degree over 20 is still considered ... nearly regular, pull-back transformations of hypergeometric equations to Fuchsian equations with just ... used. This allows computation of Belyi functions of degree 60 and beyond. An implementation...
  • MQSVIS

  • Referenced in 1 article [sw06058]
  • properties are governed by a Gaussian hypergeometric function, which cannot be reduced to either elementary...
  • DOSE

  • Referenced in 1 article [sw16933]
  • gene functions in disease perspective. Enrichment analyses including hypergeometric model and gene set enrichment analysis...
  • 5tbl

  • Referenced in 2 articles [sw26231]
  • programs for generating discrete random variables with functions that are simple and fast, averaging ... most important discrete distributions: Poisson, binomial and hypergeometric...
  • HPOSim

  • Referenced in 1 article [sw16935]
  • disease sets are also implemented, including hypergeometric enrichment analysis and network ontology analysis (NOA). Conclusions ... predict disease genes and explore disease-related function of gene modules. HPOSim is open source...
  • extraDistr

  • Referenced in 1 article [sw17069]
  • package extraDistr. Density, distribution function, quantile function and random generation for a number of univariate ... inverse-gamma, Kumaraswamy, Laplace, logarithmic, Lomax, multivariate hypergeometric, multinomial, non-standard t, non-standard beta...