# The Gauss Hypergeometric Function

## Documentation for package ‘hypergeo’ version 1.2-11

- DESCRIPTION file.
- User guides, package vignettes and other documentation.

## Help Pages

hypergeo-package | The hypergeometric function
buhring | Evaluation of the hypergeometric function using Buhring's method
buhring_eqn11 | Evaluation of the hypergeometric function using Buhring's method
buhring_eqn12 | Evaluation of the hypergeometric function using Buhring's method
buhring_eqn5_factors | Evaluation of the hypergeometric function using Buhring's method
buhring_eqn5_series | Evaluation of the hypergeometric function using Buhring's method
complex_ode | Hypergeometric functions via direct numerical integration
crit | Various utilities
f15.1.1 | Transformations of the hypergeometric function
f15.3.1 | Hypergeometric function using Euler's integral representation
f15.3.10 | Transformations of the hypergeometric function
f15.3.10_11_12 | Transformations of the hypergeometric function
f15.3.10_a | Transformations of the hypergeometric function
f15.3.10_b | Transformations of the hypergeometric function
f15.3.11 | Transformations of the hypergeometric function
f15.3.11_bit1 | Transformations of the hypergeometric function
f15.3.11_bit2_a | Transformations of the hypergeometric function
f15.3.11_bit2_b | Transformations of the hypergeometric function
f15.3.12 | Transformations of the hypergeometric function
f15.3.12_bit1 | Transformations of the hypergeometric function
f15.3.12_bit2_a | Transformations of the hypergeometric function
f15.3.12_bit2_b | Transformations of the hypergeometric function
f15.3.13 | Transformations of the hypergeometric function
f15.3.13_14 | Transformations of the hypergeometric function
f15.3.13_a | Transformations of the hypergeometric function
f15.3.13_b | Transformations of the hypergeometric function
f15.3.14 | Transformations of the hypergeometric function
f15.3.14_bit1_a | Transformations of the hypergeometric function
f15.3.14_bit1_b | Transformations of the hypergeometric function
f15.3.14_bit2 | Transformations of the hypergeometric function
f15.3.3 | Various transformation formulae for the hypergeometric function
f15.3.4 | Various transformation formulae for the hypergeometric function
f15.3.5 | Various transformation formulae for the hypergeometric function
f15.3.6 | Various transformation formulae for the hypergeometric function
f15.3.7 | Various transformation formulae for the hypergeometric function
f15.3.8 | Various transformation formulae for the hypergeometric function
f15.3.9 | Various transformation formulae for the hypergeometric function
f15.5.1 | Hypergeometric functions via direct numerical integration
genhypergeo | The generalized hypergeometric function
genhypergeo_contfrac | The generalized hypergeometric function
genhypergeo_contfrac_single | Continued fraction expansion of the hypergeometric function
genhypergeo_series | The generalized hypergeometric function
genhypergeo_shanks | Evaluation of the hypergeometric function using Shanks's method
hypergeo | The hypergeometric function
hypergeo_AorB_nonpos_int | Hypergeometric functions for integer arguments
hypergeo_A_nonpos_int | Hypergeometric functions for integer arguments
hypergeo_buhring | Evaluation of the hypergeometric function using Buhring's method
hypergeo_contfrac | Continued fraction expansion of the hypergeometric function
hypergeo_cover1 | Hypergeometric functions for special values of the parameters
hypergeo_cover2 | Hypergeometric functions for special values of the parameters
hypergeo_cover3 | Hypergeometric functions for special values of the parameters
hypergeo_func | Hypergeometric functions via direct numerical integration
hypergeo_general | The hypergeometric function as determined by power series
hypergeo_gosper | Evaluation of the hypergeometric function using Gosper's method
hypergeo_integral | Hypergeometric function using Euler's integral representation
hypergeo_powerseries | The hypergeometric function as determined by power series
hypergeo_press | Hypergeometric functions via direct numerical integration
hypergeo_residue | Evaluation of the hypergeometric function using the residue theorem
hypergeo_residue_close_to_crit_multiple | Evaluation of the hypergeometric function using the residue theorem
hypergeo_residue_close_to_crit_single | Evaluation of the hypergeometric function using the residue theorem
hypergeo_residue_general | Evaluation of the hypergeometric function using the residue theorem
hypergeo_shanks | Evaluation of the hypergeometric function using Shanks's method
hypergeo_taylor | The hypergeometric function as determined by power series
i15.3.6 | Helper functions
i15.3.7 | Helper functions
i15.3.8 | Helper functions
i15.3.9 | Helper functions
is.near_integer | Various utilities
is.nonpos | Various utilities
is.zero | Various utilities
isgood | Various utilities
j15.3.6 | Helper functions
j15.3.7 | Helper functions
j15.3.8 | Helper functions
j15.3.9 | Helper functions
lpham | Various utilities
semicircle | Hypergeometric functions via direct numerical integration
semidash | Hypergeometric functions via direct numerical integration
shanks | Evaluation of the hypergeometric function using Shanks's method
straight | Hypergeometric functions via direct numerical integration
straightdash | Hypergeometric functions via direct numerical integration
thingfun | Various utilities
to_complex | Hypergeometric functions via direct numerical integration
to_real | Hypergeometric functions via direct numerical integration
w07.23.06.0026.01 | Various functions taken from the Wolfram Functions Site
w07.23.06.0026.01_bit1 | Various functions taken from the Wolfram Functions Site
w07.23.06.0026.01_bit2 | Various functions taken from the Wolfram Functions Site
w07.23.06.0026.01_bit3_a | Various functions taken from the Wolfram Functions Site
w07.23.06.0026.01_bit3_b | Various functions taken from the Wolfram Functions Site
w07.23.06.0026.01_bit3_c | Various functions taken from the Wolfram Functions Site
w07.23.06.0029.01 | Various functions taken from the Wolfram Functions Site
w07.23.06.0031.01 | Various functions taken from the Wolfram Functions Site
w07.23.06.0031.01_bit1 | Various functions taken from the Wolfram Functions Site
w07.23.06.0031.01_bit2 | Various functions taken from the Wolfram Functions Site
wolfram | Various functions taken from the Wolfram Functions Site