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16221: complete references
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src/sage/functions/bessel.py

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@@ -156,11 +156,17 @@
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REFERENCES:
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.. [ASHandbook] Abramowitz and Stegun: Handbook of Mathematical Functions,
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http://www.math.sfu.ca/ cbm/aands/
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.. [AS-Bessel] F. W. J. Olver: 9. Bessel Functions of Integer Order, in Abramowitz and Stegun: Handbook of Mathematical Functions
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http://people.math.sfu.ca/~cbm/aands/page_355.htm
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.. [AS-Struve] M. Abramowitz: 12. Struve Functions and Related Functions, in Abramowitz and Stegun: Handbook of Mathematical Functions
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http://people.math.sfu.ca/~cbm/aands/page_495.htm
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.. [DLMF-Bessel] F. W. J. Olver and L. C. Maximon: 10. Bessel Functions, in NIST Digital Library of Mathematical Functions
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http://dlmf.nist.gov/10
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.. [DLMF-Struve] R. B. Paris: 11. Struve and Related Functions, in NIST Digital Library of Mathematical Functions
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http://dlmf.nist.gov/11
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.. _`mpmath Library`: https://github.com/fredrik-johansson/mpmath
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.. :wikipedia:`Bessel_function`
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.. [WPStruve] :wikipedia:`Struve_function`
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.. [WP-Bessel] :wikipedia:`Bessel_function`
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.. [WP-Struve] :wikipedia:`Struve_function`
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"""
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#*****************************************************************************
@@ -285,6 +291,14 @@ class Function_Bessel_J(BuiltinFunction):
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sage: bessel_J(5, 1.5) in RR
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True
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REFERENCES:
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- [AS-Bessel]_
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- [DLMF-Bessel]_
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- [AS-Bessel]_
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"""
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def __init__(self):
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"""
@@ -457,6 +471,14 @@ class Function_Bessel_Y(BuiltinFunction):
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-0.78121282130028871654715000004796482054990639071644460784383
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sage: parent(r)
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Real Field with 200 bits of precision
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REFERENCES:
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- [AS-Bessel]_
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- [DLMF-Bessel]_
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- [WP-Bessel]_
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"""
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def __init__(self):
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"""
@@ -622,6 +644,14 @@ class Function_Bessel_I(BuiltinFunction):
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sage: bessel_I(5, 1.5) in RR
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True
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REFERENCES:
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- [AS-Bessel]_
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- [DLMF-Bessel]_
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- [WP-Bessel]_
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"""
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def __init__(self):
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"""
@@ -795,6 +825,14 @@ class Function_Bessel_K(BuiltinFunction):
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sage: bessel_K(5, 1.5) in RR
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True
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REFERENCES:
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- [AS-Bessel]_
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- [DLMF-Bessel]_
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- [WP-Bessel]_
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"""
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def __init__(self):
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"""
@@ -1065,9 +1103,11 @@ class Function_Struve_H(BuiltinFunction):
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REFERENCES:
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- [ASHandbook]_
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- [AS-Struve]_
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- [DLMF-Struve]_
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- [WPStruve]_
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- [WP-Struve]_
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"""
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def __init__(self):
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r"""
@@ -1176,8 +1216,12 @@ class Function_Struve_L(BuiltinFunction):
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1/3*x/pi - 1/2*struve_L(2, x) + 1/2*struve_L(0, x)
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REFERENCES:
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- [ASHandbook]_
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- [WPStruve]_
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- [AS-Struve]_
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- [DLMF-Struve]_
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- [WP-Struve]_
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"""
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def __init__(self):
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r"""

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