Class information for:
Level 1: PRODUCTS OF ORBITS//FINITE ORBIT FUNCTION TRANSFORM//HEXAGONAL FOURIER SERIES

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23496 344 16.1 36%



Bar chart of Publication_year

Last years might be incomplete

Hierarchy of classes

The table includes all classes above and classes immediately below the current class.



Cluster id Level Cluster label #P
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
516 3       PT SYMMETRY//PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL 21025
3855 2             CUICBAS//ARBITRARY BOUNDARIES//NI LOBACHEVSKII MATH MECH 887
23496 1                   PRODUCTS OF ORBITS//FINITE ORBIT FUNCTION TRANSFORM//HEXAGONAL FOURIER SERIES 344

Terms with highest relevance score



rank Term termType Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 PRODUCTS OF ORBITS authKW 266295 1% 100% 3
2 FINITE ORBIT FUNCTION TRANSFORM authKW 177530 1% 100% 2
3 HEXAGONAL FOURIER SERIES authKW 177530 1% 100% 2
4 LAPLACIAN EIGENVALUES EIGENVECTORS authKW 177530 1% 100% 2
5 ORBIT FUNCTION TRANSFORM authKW 177530 1% 100% 2
6 ORBIT FUNCTIONS authKW 177530 1% 100% 2
7 SYMMETRIC ORBIT FUNCTIONS authKW 177530 1% 100% 2
8 RECH MATH address 151284 11% 4% 39
9 TRIGONOMETRIC authKW 138688 1% 31% 5
10 ABEL POISSON MEANS authKW 118352 1% 67% 2

Web of Science journal categories



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 Physics, Mathematical 4722 33% 0% 113
2 Mathematics 1018 24% 0% 84
3 Mathematics, Applied 531 17% 0% 57
4 Physics, Multidisciplinary 412 17% 0% 59
5 Education, Scientific Disciplines 65 2% 0% 8
6 Statistics & Probability 13 2% 0% 7
7 Engineering, Electrical & Electronic 9 6% 0% 20
8 Crystallography 9 2% 0% 7
9 Optics 4 3% 0% 10
10 Physics, Condensed Matter 4 4% 0% 14

Address terms



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 RECH MATH 151284 11% 4% 39
2 PHYS TECH COMP SCI 88765 0% 100% 1
3 RD PARALLEL COMP 88765 0% 100% 1
4 RECH MATH MATH STAT 88765 0% 100% 1
5 SCI ENGN NAT SCI 88765 0% 100% 1
6 UNIDAD QURETARO 88765 0% 100% 1
7 RD PARALLEL SOFTWARE 71010 1% 40% 2
8 CLASSES PREPARATOIRE 44381 0% 50% 1
9 FIS FIS ATOM MOL NUCL 44381 0% 50% 1
10 GRP DYNAM SYST PROXIMAT THEORY 44381 0% 50% 1

Journals



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
1 JOURNAL OF MATHEMATICAL PHYSICS 15071 15% 0% 52
2 JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL 3729 6% 0% 19
3 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 2660 2% 1% 6
4 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 1771 1% 0% 5
5 ACTA CRYSTALLOGRAPHICA A-FOUNDATION AND ADVANCES 1746 1% 0% 5
6 UKRAINIAN JOURNAL OF PHYSICAL OPTICS 1737 1% 1% 2
7 JOURNAL OF ELECTROMAGNETIC WAVES AND APPLICATIONS 1433 2% 0% 8
8 JOURNAL OF COMPUTATIONAL MATHEMATICS 1056 1% 0% 4
9 QUARTERLY OF APPLIED MATHEMATICS 872 1% 0% 4
10 CONSTRUCTIVE APPROXIMATION 798 1% 0% 3

Author Key Words



Rank Term Chi square Shr. of publ. in
class containing
term
Class's shr. of
term's tot. occurrences
#P with
term in
class
LCSH search Wikipedia search
1 PRODUCTS OF ORBITS 266295 1% 100% 3 Search PRODUCTS+OF+ORBITS Search PRODUCTS+OF+ORBITS
2 FINITE ORBIT FUNCTION TRANSFORM 177530 1% 100% 2 Search FINITE+ORBIT+FUNCTION+TRANSFORM Search FINITE+ORBIT+FUNCTION+TRANSFORM
3 HEXAGONAL FOURIER SERIES 177530 1% 100% 2 Search HEXAGONAL+FOURIER+SERIES Search HEXAGONAL+FOURIER+SERIES
4 LAPLACIAN EIGENVALUES EIGENVECTORS 177530 1% 100% 2 Search LAPLACIAN+EIGENVALUES+EIGENVECTORS Search LAPLACIAN+EIGENVALUES+EIGENVECTORS
5 ORBIT FUNCTION TRANSFORM 177530 1% 100% 2 Search ORBIT+FUNCTION+TRANSFORM Search ORBIT+FUNCTION+TRANSFORM
6 ORBIT FUNCTIONS 177530 1% 100% 2 Search ORBIT+FUNCTIONS Search ORBIT+FUNCTIONS
7 SYMMETRIC ORBIT FUNCTIONS 177530 1% 100% 2 Search SYMMETRIC+ORBIT+FUNCTIONS Search SYMMETRIC+ORBIT+FUNCTIONS
8 TRIGONOMETRIC 138688 1% 31% 5 Search TRIGONOMETRIC Search TRIGONOMETRIC
9 ABEL POISSON MEANS 118352 1% 67% 2 Search ABEL+POISSON+MEANS Search ABEL+POISSON+MEANS
10 WEIGHT LATTICE 118352 1% 67% 2 Search WEIGHT+LATTICE Search WEIGHT+LATTICE

Core articles

The table includes core articles in the class. The following variables is taken into account for the relevance score of an article in a cluster c:
(1) Number of references referring to publications in the class.
(2) Share of total number of active references referring to publications in the class.
(3) Age of the article. New articles get higher score than old articles.
(4) Citation rate, normalized to year.



Rank Reference # ref.
in cl.
Shr. of ref. in
cl.
Citations
1 LEMIRE, FW , PATERA, J , SZAJEWSKA, M , (2015) DOMINANT WEIGHT MULTIPLICITIES IN HYBRID CHARACTERS OF B-N , C-N , F-4, G(2).INTERNATIONAL JOURNAL OF THEORETICAL PHYSICS. VOL. 54. ISSUE 11. P. 4011 -4026 21 95% 0
2 HAKOVA, L , HRIVNAK, J , PATERA, J , (2013) FOUR FAMILIES OF WEYL GROUP ORBIT FUNCTIONS OF B-3 AND C-3.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 54. ISSUE 8. P. - 18 95% 0
3 HRIVNAK, J , PATERA, J , (2009) ON DISCRETIZATION OF TORI OF COMPACT SIMPLE LIE GROUPS.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 42. ISSUE 38. P. - 17 100% 12
4 HAKOVA, L , LAROUCHE, M , PATERA, J , (2008) THE RINGS OF N-DIMENSIONAL POLYTOPES.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 41. ISSUE 49. P. - 17 81% 2
5 HAKOVA, L , HRIVNAK, J , PATERA, J , (2012) SIX TYPES OF E-FUNCTIONS OF THE LIE GROUPS O(5) AND G(2).JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 12. P. - 13 93% 2
6 MOODY, RV , MOTLOCHOVA, L , PATERA, J , (2014) GAUSSIAN CUBATURE ARISING FROM HYBRID CHARACTERS OF SIMPLE LIE GROUPS.JOURNAL OF FOURIER ANALYSIS AND APPLICATIONS. VOL. 20. ISSUE 6. P. 1257 -1290 11 100% 3
7 LAROUCHE, M , NESTERENKO, M , PATERA, J , (2009) BRANCHING RULES FOR THE WEYL GROUP ORBITS OF THE LIE ALGEBRA A(N).JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 42. ISSUE 48. P. - 12 100% 2
8 KLIMYK, AU , PATERA, J , (2008) E-ORBIT FUNCTIONS.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 4. ISSUE . P. - 12 100% 9
9 PATERA, J , ZARATSYAN, A , (2006) DISCRETE AND CONTINUOUS SINE TRANSFORM GENERALIZED TO SEMISIMPLE LIE GROUPS OF RANK TWO.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 47. ISSUE 4. P. - 14 88% 9
10 HRIVNAK, J , MOTLOCHOVA, L , PATERA, J , (2012) ON DISCRETIZATION OF TORI OF COMPACT SIMPLE LIE GROUPS: II.JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL. VOL. 45. ISSUE 25. P. - 10 100% 4

Classes with closest relation at Level 1



Rank Class id link
1 30295 CUICBAS//ARBITRARY BOUNDARIES//INHOMOGENEOUS STRING
2 12266 SYMPLECTIC MODEL//MODELS BASED ON GROUP THEORY//ALGEBRAIC DIAGONALIZATION METHOD
3 13757 UNIVERSAL INEQUALITIES//EIGENVALUE RATIO//LIEB THIRRING INEQUALITIES
4 22622 CUBATURE//APPROXIMATE FEKETE POINTS//PADUA POINTS
5 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
6 27714 CHRONOMETRIC THEORY//EUCLIDEAN ALGEBRA//INTERDISCIPLINARY NAT HUMANIST SCI
7 21638 IDEAL PROJECTOR//KERGIN INTERPOLATION//RADON PROJECTIONS
8 32373 DECOMPOSABLE TENSORS//SYMMETRY CLASSES OF TENSORS//RANK PARTITION
9 6678 PHYSICS, PARTICLES & FIELDS//NEUTRON ANTINEUTRON OSCILLATION//INFORMAT SOCIAL WELF
10 23915 MINKOWSKI CONTENT//COMPLEX DIMENSIONS//FRACTAL STRING

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