|
156 | 156 |
|
157 | 157 | REFERENCES: |
158 | 158 |
|
159 | | -.. [ASHandbook] Abramowitz and Stegun: Handbook of Mathematical Functions, |
160 | | - http://www.math.sfu.ca/ cbm/aands/ |
| 159 | +.. [AS-Bessel] F. W. J. Olver: 9. Bessel Functions of Integer Order, in Abramowitz and Stegun: Handbook of Mathematical Functions |
| 160 | + http://people.math.sfu.ca/~cbm/aands/page_355.htm |
| 161 | +.. [AS-Struve] M. Abramowitz: 12. Struve Functions and Related Functions, in Abramowitz and Stegun: Handbook of Mathematical Functions |
| 162 | + http://people.math.sfu.ca/~cbm/aands/page_495.htm |
| 163 | +.. [DLMF-Bessel] F. W. J. Olver and L. C. Maximon: 10. Bessel Functions, in NIST Digital Library of Mathematical Functions |
| 164 | + http://dlmf.nist.gov/10 |
| 165 | +.. [DLMF-Struve] R. B. Paris: 11. Struve and Related Functions, in NIST Digital Library of Mathematical Functions |
| 166 | + http://dlmf.nist.gov/11 |
161 | 167 | .. _`mpmath Library`: https://github.com/fredrik-johansson/mpmath |
162 | | -.. :wikipedia:`Bessel_function` |
163 | | -.. [WPStruve] :wikipedia:`Struve_function` |
| 168 | +.. [WP-Bessel] :wikipedia:`Bessel_function` |
| 169 | +.. [WP-Struve] :wikipedia:`Struve_function` |
164 | 170 | """ |
165 | 171 |
|
166 | 172 | #***************************************************************************** |
@@ -285,6 +291,14 @@ class Function_Bessel_J(BuiltinFunction): |
285 | 291 |
|
286 | 292 | sage: bessel_J(5, 1.5) in RR |
287 | 293 | True |
| 294 | +
|
| 295 | + REFERENCES: |
| 296 | +
|
| 297 | + - [AS-Bessel]_ |
| 298 | +
|
| 299 | + - [DLMF-Bessel]_ |
| 300 | +
|
| 301 | + - [AS-Bessel]_ |
288 | 302 | """ |
289 | 303 | def __init__(self): |
290 | 304 | """ |
@@ -457,6 +471,14 @@ class Function_Bessel_Y(BuiltinFunction): |
457 | 471 | -0.78121282130028871654715000004796482054990639071644460784383 |
458 | 472 | sage: parent(r) |
459 | 473 | Real Field with 200 bits of precision |
| 474 | +
|
| 475 | + REFERENCES: |
| 476 | +
|
| 477 | + - [AS-Bessel]_ |
| 478 | +
|
| 479 | + - [DLMF-Bessel]_ |
| 480 | +
|
| 481 | + - [WP-Bessel]_ |
460 | 482 | """ |
461 | 483 | def __init__(self): |
462 | 484 | """ |
@@ -622,6 +644,14 @@ class Function_Bessel_I(BuiltinFunction): |
622 | 644 |
|
623 | 645 | sage: bessel_I(5, 1.5) in RR |
624 | 646 | True |
| 647 | +
|
| 648 | + REFERENCES: |
| 649 | +
|
| 650 | + - [AS-Bessel]_ |
| 651 | +
|
| 652 | + - [DLMF-Bessel]_ |
| 653 | +
|
| 654 | + - [WP-Bessel]_ |
625 | 655 | """ |
626 | 656 | def __init__(self): |
627 | 657 | """ |
@@ -795,6 +825,14 @@ class Function_Bessel_K(BuiltinFunction): |
795 | 825 |
|
796 | 826 | sage: bessel_K(5, 1.5) in RR |
797 | 827 | True |
| 828 | +
|
| 829 | + REFERENCES: |
| 830 | +
|
| 831 | + - [AS-Bessel]_ |
| 832 | +
|
| 833 | + - [DLMF-Bessel]_ |
| 834 | +
|
| 835 | + - [WP-Bessel]_ |
798 | 836 | """ |
799 | 837 | def __init__(self): |
800 | 838 | """ |
@@ -1065,9 +1103,11 @@ class Function_Struve_H(BuiltinFunction): |
1065 | 1103 |
|
1066 | 1104 | REFERENCES: |
1067 | 1105 |
|
1068 | | - - [ASHandbook]_ |
| 1106 | + - [AS-Struve]_ |
| 1107 | +
|
| 1108 | + - [DLMF-Struve]_ |
1069 | 1109 |
|
1070 | | - - [WPStruve]_ |
| 1110 | + - [WP-Struve]_ |
1071 | 1111 | """ |
1072 | 1112 | def __init__(self): |
1073 | 1113 | r""" |
@@ -1176,8 +1216,12 @@ class Function_Struve_L(BuiltinFunction): |
1176 | 1216 | 1/3*x/pi - 1/2*struve_L(2, x) + 1/2*struve_L(0, x) |
1177 | 1217 |
|
1178 | 1218 | REFERENCES: |
1179 | | - - [ASHandbook]_ |
1180 | | - - [WPStruve]_ |
| 1219 | +
|
| 1220 | + - [AS-Struve]_ |
| 1221 | +
|
| 1222 | + - [DLMF-Struve]_ |
| 1223 | +
|
| 1224 | + - [WP-Struve]_ |
1181 | 1225 | """ |
1182 | 1226 | def __init__(self): |
1183 | 1227 | r""" |
|
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