(Perl Data Language) aims to turn perl into an efficient numerical language for scientific computing (similar to IDL and MatLab).
| HYPERG.pm (PDL-2.080) | : | HYPERG.pm (PDL-2.081) |
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| skipping to change at line 37 | | skipping to change at line 37 |
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| This is an interface to the Special Function package present in the GNU Scientif
ic Library. | | This is an interface to the Special Function package present in the GNU Scientif
ic Library. |
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| =cut | | =cut |
| #line 39 "HYPERG.pm" | | #line 39 "HYPERG.pm" |
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| =head1 FUNCTIONS | | =head1 FUNCTIONS |
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| =cut | | =cut |
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|
| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_0F1 | | =head2 gsl_sf_hyperg_0F1 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double c) | | Signature: (double x(); double [o]y(); double [o]e(); double c) |
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| =for ref | | =for ref |
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| /* Hypergeometric function related to Bessel functions 0F1[c,x] = Gamma[c] x^
(1/2(1-c)) I_{c-1}(2 Sqrt[x]) Gamma[c] (-x)^(1/2(1-c)) J_{c-1}(2 Sqrt[-x]) | | /* Hypergeometric function related to Bessel functions 0F1[c,x] = Gamma[c] x^
(1/2(1-c)) I_{c-1}(2 Sqrt[x]) Gamma[c] (-x)^(1/2(1-c)) J_{c-1}(2 Sqrt[-x]) |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_0F1 does not process bad values. | | gsl_sf_hyperg_0F1 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 74 "HYPERG.pm" | | #line 74 "HYPERG.pm" |
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| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_0F1 = \&PDL::gsl_sf_hyperg_0F1; | | *gsl_sf_hyperg_0F1 = \&PDL::gsl_sf_hyperg_0F1; |
| #line 81 "HYPERG.pm" | | #line 81 "HYPERG.pm" |
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|
| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_1F1 | | =head2 gsl_sf_hyperg_1F1 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b) |
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| =for ref | | =for ref |
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| Confluent hypergeometric function for integer parameters. 1F1[a,b,x] = M(a,b,x) | | Confluent hypergeometric function for integer parameters. 1F1[a,b,x] = M(a,b,x) |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_1F1 does not process bad values. | | gsl_sf_hyperg_1F1 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 106 "HYPERG.pm" | | #line 106 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_1F1 = \&PDL::gsl_sf_hyperg_1F1; | | *gsl_sf_hyperg_1F1 = \&PDL::gsl_sf_hyperg_1F1; |
| #line 113 "HYPERG.pm" | | #line 113 "HYPERG.pm" |
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|
| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_U | | =head2 gsl_sf_hyperg_U |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b) |
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| =for ref | | =for ref |
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| Confluent hypergeometric function for integer parameters. U(a,b,x) | | Confluent hypergeometric function for integer parameters. U(a,b,x) |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_U does not process bad values. | | gsl_sf_hyperg_U does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 138 "HYPERG.pm" | | #line 138 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_U = \&PDL::gsl_sf_hyperg_U; | | *gsl_sf_hyperg_U = \&PDL::gsl_sf_hyperg_U; |
| #line 145 "HYPERG.pm" | | #line 145 "HYPERG.pm" |
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| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_2F1 | | =head2 gsl_sf_hyperg_2F1 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) |
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| =for ref | | =for ref |
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| Confluent hypergeometric function for integer parameters. 2F1[a,b,c,x] | | Confluent hypergeometric function for integer parameters. 2F1[a,b,c,x] |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_2F1 does not process bad values. | | gsl_sf_hyperg_2F1 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 170 "HYPERG.pm" | | #line 170 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_2F1 = \&PDL::gsl_sf_hyperg_2F1; | | *gsl_sf_hyperg_2F1 = \&PDL::gsl_sf_hyperg_2F1; |
| #line 177 "HYPERG.pm" | | #line 177 "HYPERG.pm" |
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| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_2F1_conj | | =head2 gsl_sf_hyperg_2F1_conj |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) |
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| =for ref | | =for ref |
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| Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] | | Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_2F1_conj does not process bad values. | | gsl_sf_hyperg_2F1_conj does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 202 "HYPERG.pm" | | #line 202 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_2F1_conj = \&PDL::gsl_sf_hyperg_2F1_conj; | | *gsl_sf_hyperg_2F1_conj = \&PDL::gsl_sf_hyperg_2F1_conj; |
| #line 209 "HYPERG.pm" | | #line 209 "HYPERG.pm" |
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|
| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_2F1_renorm | | =head2 gsl_sf_hyperg_2F1_renorm |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) |
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| =for ref | | =for ref |
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| Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c] | | Renormalized Gauss hypergeometric function 2F1[a,b,c,x] / Gamma[c] |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_2F1_renorm does not process bad values. | | gsl_sf_hyperg_2F1_renorm does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 234 "HYPERG.pm" | | #line 234 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_2F1_renorm = \&PDL::gsl_sf_hyperg_2F1_renorm; | | *gsl_sf_hyperg_2F1_renorm = \&PDL::gsl_sf_hyperg_2F1_renorm; |
| #line 241 "HYPERG.pm" | | #line 241 "HYPERG.pm" |
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| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_2F1_conj_renorm | | =head2 gsl_sf_hyperg_2F1_conj_renorm |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b; doub
le c) |
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| =for ref | | =for ref |
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| Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] / Gam
ma[c] | | Renormalized Gauss hypergeometric function 2F1[aR + I aI, aR - I aI, c, x] / Gam
ma[c] |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_2F1_conj_renorm does not process bad values. | | gsl_sf_hyperg_2F1_conj_renorm does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 266 "HYPERG.pm" | | #line 266 "HYPERG.pm" |
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| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_2F1_conj_renorm = \&PDL::gsl_sf_hyperg_2F1_conj_renorm; | | *gsl_sf_hyperg_2F1_conj_renorm = \&PDL::gsl_sf_hyperg_2F1_conj_renorm; |
| #line 273 "HYPERG.pm" | | #line 273 "HYPERG.pm" |
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| #line 948 "../../../../blib/lib/PDL/PP.pm" | | #line 949 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| =head2 gsl_sf_hyperg_2F0 | | =head2 gsl_sf_hyperg_2F0 |
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| =for sig | | =for sig |
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| Signature: (double x(); double [o]y(); double [o]e(); double a; double b) | | Signature: (double x(); double [o]y(); double [o]e(); double a; double b) |
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| =for ref | | =for ref |
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| Mysterious hypergeometric function. The series representation is a divergent hyp
ergeometric series. However, for x < 0 we have 2F0(a,b,x) = (-1/x)^a U(a,1+a-b,-
1/x) | | Mysterious hypergeometric function. The series representation is a divergent hyp
ergeometric series. However, for x < 0 we have 2F0(a,b,x) = (-1/x)^a U(a,1+a-b,-
1/x) |
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| =for bad | | =for bad |
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| gsl_sf_hyperg_2F0 does not process bad values. | | gsl_sf_hyperg_2F0 does not process bad values. |
| It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. | | It will set the bad-value flag of all output ndarrays if the flag is set for any
of the input ndarrays. |
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| =cut | | =cut |
| #line 298 "HYPERG.pm" | | #line 298 "HYPERG.pm" |
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|
| #line 950 "../../../../blib/lib/PDL/PP.pm" | | #line 951 "/home/osboxes/pdl-code/blib/lib/PDL/PP.pm" |
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| *gsl_sf_hyperg_2F0 = \&PDL::gsl_sf_hyperg_2F0; | | *gsl_sf_hyperg_2F0 = \&PDL::gsl_sf_hyperg_2F0; |
| #line 305 "HYPERG.pm" | | #line 305 "HYPERG.pm" |
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| #line 130 "gsl_sf_hyperg.pd" | | #line 130 "gsl_sf_hyperg.pd" |
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| =head1 AUTHOR | | =head1 AUTHOR |
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| This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> | | This file copyright (C) 1999 Christian Pellegrin <chri@infis.univ.trieste.it> |
| All rights reserved. There | | All rights reserved. There |
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| End of changes. 16 change blocks. |
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| 16 lines changed or deleted | | 16 lines changed or added |
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"Fossies" - the Fresh Open Source Software Archive 