The Gauss Hypergeometric Function

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Documentation for package ‘hypergeo’ version 1.2-13

• 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_factorial	Gamma function for complex arguments
complex_gamma	Gamma function for complex arguments
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
lanczos	Gamma function for complex arguments
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