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/dports/science/clhep/2.4.1.0/CLHEP/GenericFunctions/GenericFunctions/
H A DBessel.hh30 class Bessel : public AbsFunction { class
32 FUNCTION_OBJECT_DEF(Bessel)
41 Bessel (Type type);
44 Bessel(const Bessel &right);
47 virtual ~Bessel();
61 const Bessel & operator=(const Bessel &right);
75 class Bessel : public AbsFunction { class
77 FUNCTION_OBJECT_DEF(Bessel)
89 Bessel(const Bessel &right);
92 virtual ~Bessel();
[all …]
H A DBessel.icc15 FUNCTION_OBJECT_IMP(Bessel)
18 Bessel::Bessel(Type type, unsigned int order):
24 Bessel::~Bessel() {
28 Bessel::Bessel(const Bessel & right):
35 double Bessel::operator() (double x) const {
64 FUNCTION_OBJECT_IMP(Bessel)
67 Bessel::Bessel(Type type):
74 Bessel::~Bessel() {
78 Bessel::Bessel(const Bessel & right):
86 Parameter & Bessel::order() {
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/dports/math/p5-Geo-Coordinates-UTM/Geo-Coordinates-UTM-0.11/t/
H A D02_points.t71 Bessel 1841|45.3359588450991|40.0400031298722|37T|581477.812337138|5020289.06897684
103 Bessel 1841|-26.8339414009232|-141.993673622831|7J|401276.788144163|7031861.41595582
110 Bessel 1841|-24.4602191417681|91.2138615618262|46J|318983.753466054|7293914.86908363
142 Bessel 1841|68.5749166287382|105.185954758293|48W|507579.568049395|7606164.50430552
167 Bessel 1841|-72.7737535405884|-7.41034977684023|29C|552533.249632339|1924931.2973827
241 Bessel 1841|77.8474580819954|75.0719404353057|43X|501690.413180512|8640407.64058068
250 Bessel 1841|58.8533406912518|-179.162298730316|1V|375272.233064267|6525054.78126247
276 Bessel 1841|0.627576788773666|121.75770702851|51N|361777.26926594|69375.8831925983
279 Bessel 1841|15.1512499774216|28.8316366349176|35P|696781.690904831|1675715.56353851
342 Bessel 1841|61.156958816071|-155.511428588157|5V|364877.891602252|6782153.07329031
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/dports/math/gsl/gsl-2.7/doc/
H A Dspecfunc-bessel.rst1 .. index:: Bessel functions
11 Regular Cylindrical Bessel Functions
13 .. index:: Cylindrical Bessel Functions
16 single: J(x), Bessel Functions
51 single: Y(x), Bessel Functions
89 single: I(x), Bessel Functions
161 single: K(x), Bessel Functions
242 single: j(x), Bessel Functions
306 single: y(x), Bessel Functions
354 single: i(x), Bessel Functions
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/dports/devel/boost-docs/boost_1_72_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk1 [section:bessel_over Bessel Function Overview]
3 [h4 Ordinary Bessel Functions]
5 Bessel Functions are solutions to Bessel's ordinary differential
17 and known as a Bessel function of the first kind:
31 The Bessel functions satisfy the recurrence relations:
54 [h4 Modified Bessel Functions]
59 independent solutions to the modified Bessel equation:
97 [h4 Spherical Bessel Functions]
106 ordinary Bessel functions J[sub n] and Y[sub n] by:
110 The spherical Bessel function of the second kind y[sub n]
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H A Dhankel.qbk30 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
45 These functions are generally more efficient than two separate calls to the underlying Bessel
46 functions as internally Bessel J and Y can be computed simultaneously.
51 on the Bessel functions upon which these are based.
61 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
63 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
65 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
67 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
69 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
70 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/devel/boost-python-libs/boost_1_72_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk1 [section:bessel_over Bessel Function Overview]
3 [h4 Ordinary Bessel Functions]
5 Bessel Functions are solutions to Bessel's ordinary differential
17 and known as a Bessel function of the first kind:
31 The Bessel functions satisfy the recurrence relations:
54 [h4 Modified Bessel Functions]
59 independent solutions to the modified Bessel equation:
97 [h4 Spherical Bessel Functions]
106 ordinary Bessel functions J[sub n] and Y[sub n] by:
110 The spherical Bessel function of the second kind y[sub n]
[all …]
H A Dhankel.qbk30 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
45 These functions are generally more efficient than two separate calls to the underlying Bessel
46 functions as internally Bessel J and Y can be computed simultaneously.
51 on the Bessel functions upon which these are based.
61 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
63 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
65 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
67 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
69 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
70 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/devel/boost-libs/boost_1_72_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk1 [section:bessel_over Bessel Function Overview]
3 [h4 Ordinary Bessel Functions]
5 Bessel Functions are solutions to Bessel's ordinary differential
17 and known as a Bessel function of the first kind:
31 The Bessel functions satisfy the recurrence relations:
54 [h4 Modified Bessel Functions]
59 independent solutions to the modified Bessel equation:
97 [h4 Spherical Bessel Functions]
106 ordinary Bessel functions J[sub n] and Y[sub n] by:
110 The spherical Bessel function of the second kind y[sub n]
[all …]
H A Dhankel.qbk30 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
45 These functions are generally more efficient than two separate calls to the underlying Bessel
46 functions as internally Bessel J and Y can be computed simultaneously.
51 on the Bessel functions upon which these are based.
61 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
63 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
65 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
67 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
69 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
70 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/devel/hyperscan/boost_1_75_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk1 [section:bessel_over Bessel Function Overview]
3 [h4 Ordinary Bessel Functions]
5 Bessel Functions are solutions to Bessel's ordinary differential
17 and known as a Bessel function of the first kind:
31 The Bessel functions satisfy the recurrence relations:
54 [h4 Modified Bessel Functions]
59 independent solutions to the modified Bessel equation:
97 [h4 Spherical Bessel Functions]
106 ordinary Bessel functions J[sub n] and Y[sub n] by:
110 The spherical Bessel function of the second kind y[sub n]
[all …]
/dports/databases/percona57-pam-for-mysql/boost_1_59_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk2 [section:bessel_over Bessel Function Overview]
4 [h4 Ordinary Bessel Functions]
6 Bessel Functions are solutions to Bessel's ordinary differential
18 and known as a Bessel function of the first kind:
25 and is known as either a Bessel Function of the second kind, or as a
32 The Bessel functions satisfy the recurrence relations:
55 [h4 Modified Bessel Functions]
60 independent solutions to the modified Bessel equation:
76 The modified Bessel functions satisfy the recurrence relations:
98 [h4 Spherical Bessel Functions]
[all …]
H A Dhankel.qbk31 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
46 These functions are generally more efficient than two separate calls to the underlying Bessel
47 functions as internally Bessel J and Y can be computed simultaneously.
52 on the Bessel functions upon which these are based.
62 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
64 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
66 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
68 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
70 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
71 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/databases/percona57-server/boost_1_59_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk2 [section:bessel_over Bessel Function Overview]
4 [h4 Ordinary Bessel Functions]
6 Bessel Functions are solutions to Bessel's ordinary differential
18 and known as a Bessel function of the first kind:
25 and is known as either a Bessel Function of the second kind, or as a
32 The Bessel functions satisfy the recurrence relations:
55 [h4 Modified Bessel Functions]
60 independent solutions to the modified Bessel equation:
76 The modified Bessel functions satisfy the recurrence relations:
98 [h4 Spherical Bessel Functions]
[all …]
H A Dhankel.qbk31 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
46 These functions are generally more efficient than two separate calls to the underlying Bessel
47 functions as internally Bessel J and Y can be computed simultaneously.
52 on the Bessel functions upon which these are based.
62 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
64 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
66 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
68 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
70 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
71 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/databases/xtrabackup/boost_1_59_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk2 [section:bessel_over Bessel Function Overview]
4 [h4 Ordinary Bessel Functions]
6 Bessel Functions are solutions to Bessel's ordinary differential
18 and known as a Bessel function of the first kind:
25 and is known as either a Bessel Function of the second kind, or as a
32 The Bessel functions satisfy the recurrence relations:
55 [h4 Modified Bessel Functions]
60 independent solutions to the modified Bessel equation:
76 The modified Bessel functions satisfy the recurrence relations:
98 [h4 Spherical Bessel Functions]
[all …]
H A Dhankel.qbk31 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
46 These functions are generally more efficient than two separate calls to the underlying Bessel
47 functions as internally Bessel J and Y can be computed simultaneously.
52 on the Bessel functions upon which these are based.
62 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
64 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
66 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
68 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
70 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
71 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/databases/percona57-client/boost_1_59_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk2 [section:bessel_over Bessel Function Overview]
4 [h4 Ordinary Bessel Functions]
6 Bessel Functions are solutions to Bessel's ordinary differential
18 and known as a Bessel function of the first kind:
25 and is known as either a Bessel Function of the second kind, or as a
32 The Bessel functions satisfy the recurrence relations:
55 [h4 Modified Bessel Functions]
60 independent solutions to the modified Bessel equation:
76 The modified Bessel functions satisfy the recurrence relations:
98 [h4 Spherical Bessel Functions]
[all …]
H A Dhankel.qbk31 ['J[sub v](x)] is the Bessel function of the first kind, and ['Y[sub v](x)] is the Bessel function …
46 These functions are generally more efficient than two separate calls to the underlying Bessel
47 functions as internally Bessel J and Y can be computed simultaneously.
52 on the Bessel functions upon which these are based.
62 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselJ/16/01/01/ [equation hankel1]]
64 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel2]]
66 [@http://functions.wolfram.com/Bessel-TypeFunctions/BesselY/16/01/01/ [equation hankel3]]
68 Otherwise the implementation is trivially in terms of the Bessel J and Y functions.
70 Note however, that the Hankel functions compute the Bessel J and Y functions simultaneously,
71 and therefore a single Hankel function call is more efficient than two Bessel function calls.
[all …]
/dports/databases/mysqlwsrep57-server/boost_1_59_0/libs/math/doc/sf/
H A Dbessel_introduction.qbk2 [section:bessel_over Bessel Function Overview]
4 [h4 Ordinary Bessel Functions]
6 Bessel Functions are solutions to Bessel's ordinary differential
18 and known as a Bessel function of the first kind:
25 and is known as either a Bessel Function of the second kind, or as a
32 The Bessel functions satisfy the recurrence relations:
55 [h4 Modified Bessel Functions]
60 independent solutions to the modified Bessel equation:
76 The modified Bessel functions satisfy the recurrence relations:
98 [h4 Spherical Bessel Functions]
[all …]
/dports/math/PDL/PDL-2.019/Lib/GSL/SF/bessel/
H A Dgsl_sf_bessel.pd34 Doc =>'Regular Bessel Function J_n(x).'
44 Doc =>'Array of Regular Bessel Functions J_{s}(x) to J_{s+n-1}(x).'
57 Doc =>'IrRegular Bessel Function Y_n(x).'
80 Doc =>'Regular Modified Bessel Function I_n(x).'
126 Doc =>'IrRegular Modified Bessel Function K_n(x).'
172 Doc =>'Regular Sphericl Bessel Function J_n(x).'
195 Doc =>'IrRegular Spherical Bessel Function y_n(x).'
264 Doc =>'Regular Cylindrical Bessel Function J_nu(x).'
277 Doc =>'IrRegular Cylindrical Bessel Function J_nu(x).'
303 Doc =>'Modified Cylindrical Bessel Function I_nu(x).'
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/dports/math/R/R-4.1.2/src/library/base/man/
H A DBessel.Rd1 % File src/library/base/man/Bessel.Rd
6 \name{Bessel}
7 \title{Bessel Functions}
9 \alias{Bessel}
23 Modified Bessel functions (of first and third kind),
30 the corresponding Bessel function.}
39 values of the corresponding Bessel function.
77 Chapter 9: Bessel Functions of Integer Order.
126 main = "Bessel Functions I_nu(x)")
132 main = "Bessel Functions J_nu(x)")
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/dports/math/libRmath/R-4.1.1/src/library/base/man/
H A DBessel.Rd1 % File src/library/base/man/Bessel.Rd
6 \name{Bessel}
7 \title{Bessel Functions}
9 \alias{Bessel}
23 Modified Bessel functions (of first and third kind),
30 the corresponding Bessel function.}
39 values of the corresponding Bessel function.
77 Chapter 9: Bessel Functions of Integer Order.
126 main = "Bessel Functions I_nu(x)")
132 main = "Bessel Functions J_nu(x)")
[all …]
/dports/graphics/dataplot/dataplot-2c1b27601a3b7523449de612613eadeead9a8f70/lib/frmenus/math/
H A Dbessel_r.men1 This is file bessel_r.men--Compute Bessel Functions (real argument)
4 1. Bessel Functions (real arguments)
9 6. and the second argument is the order of the Bessel function.
16 12. Order of the Bessel function:
22 16. @CE 2 1 10 45 Jn (Bessel function first kind)
23 17. @CE 2 2 10 45 Yn (Bessel function second kind)
24 18. @CE 2 3 10 45 In (modified Bessel function, first kind)
26 20. @CE 2 5 10 45 Kn (modified Bessel function, third kind)
H A Dbessel_c.men1 This is file bessel_c.men--Compute Bessel Functions (complex argument)
4 1. Bessel Functions (complex arguments)
10 7. the Bessel function. All of these values can be a variable,
21 16. Order of the Bessel function:
29 21. @CE 6 1 10 45 Jn (Bessel function first kind)
30 22. @CE 6 2 10 45 Yn (Bessel function second kind)
31 23. @CE 6 3 10 45 In (modified Bessel function, first kind)
32 24. @CE 6 4 10 45 Kn (modified Bessel function, third kind)

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