/dports/science/clhep/2.4.1.0/CLHEP/GenericFunctions/GenericFunctions/ |
H A D | Bessel.hh | 30 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 D | Bessel.icc | 15 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() { [all …]
|
/dports/math/p5-Geo-Coordinates-UTM/Geo-Coordinates-UTM-0.11/t/ |
H A D | 02_points.t | 71 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 [all …]
|
/dports/math/gsl/gsl-2.7/doc/ |
H A D | specfunc-bessel.rst | 1 .. 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 [all …]
|
/dports/devel/boost-docs/boost_1_72_0/libs/math/doc/sf/ |
H A D | bessel_introduction.qbk | 1 [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 D | hankel.qbk | 30 ['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 D | bessel_introduction.qbk | 1 [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 D | hankel.qbk | 30 ['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 D | bessel_introduction.qbk | 1 [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 D | hankel.qbk | 30 ['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 D | bessel_introduction.qbk | 1 [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 D | bessel_introduction.qbk | 2 [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 D | hankel.qbk | 31 ['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 D | bessel_introduction.qbk | 2 [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 D | hankel.qbk | 31 ['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 D | bessel_introduction.qbk | 2 [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 D | hankel.qbk | 31 ['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 D | bessel_introduction.qbk | 2 [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 D | hankel.qbk | 31 ['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 D | bessel_introduction.qbk | 2 [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 D | gsl_sf_bessel.pd | 34 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).' [all …]
|
/dports/math/R/R-4.1.2/src/library/base/man/ |
H A D | Bessel.Rd | 1 % 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/math/libRmath/R-4.1.1/src/library/base/man/ |
H A D | Bessel.Rd | 1 % 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 D | bessel_r.men | 1 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 D | bessel_c.men | 1 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)
|