Class information for:
Level 2: OPERATIONAL METHODS//MATRIX ORTHOGONAL POLYNOMIALS//MATRIX ORTHOGONALITY

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
3405 1163 16.5 35%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 3)


ID, lev.
above		 Publications Label for level above
509 18614 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Classes in level below (level 1)


ID, lev. below Publications Label for level below
19474 439 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
22556 321 MATRIX ORTHOGONAL POLYNOMIALS//MATRIX ORTHOGONALITY//ORTHOGONAL MATRIX POLYNOMIALS
22576 320 PRODUCTS OF ORBITS//OGDEN FUNDAMENTAL PHYS//DUAL POLYTOPES
33865 83 BRAFMAN POLYNOMIALS//DECOMPOSITION WITH RESPECT TO THE CYCLIC GROUP OF ORDER N//PETR DOUGLAS NEUMANN THEOREM

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 OPERATIONAL METHODS Author keyword 35 86% 2% 18
2 MATRIX ORTHOGONAL POLYNOMIALS Author keyword 30 79% 2% 19
3 MATRIX ORTHOGONALITY Author keyword 27 92% 1% 11
4 MONOMIALITY PRINCIPLE Author keyword 23 72% 2% 18
5 HERMITE MATRIX POLYNOMIALS Author keyword 20 100% 1% 9
6 ORTHOGONAL MATRIX POLYNOMIALS Author keyword 19 64% 2% 18
7 GENERATING MATRIX FUNCTION Author keyword 18 89% 1% 8
8 GENERATING RELATIONS Author keyword 18 67% 1% 16
9 MATRIX VALUED ORTHOGONAL POLYNOMIALS Author keyword 14 65% 1% 13
10 JACOBI MATRIX POLYNOMIALS Author keyword 14 100% 1% 7

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 OPERATIONAL METHODS 35 86% 2% 18 Search OPERATIONAL+METHODS Search OPERATIONAL+METHODS
2 MATRIX ORTHOGONAL POLYNOMIALS 30 79% 2% 19 Search MATRIX+ORTHOGONAL+POLYNOMIALS Search MATRIX+ORTHOGONAL+POLYNOMIALS
3 MATRIX ORTHOGONALITY 27 92% 1% 11 Search MATRIX+ORTHOGONALITY Search MATRIX+ORTHOGONALITY
4 MONOMIALITY PRINCIPLE 23 72% 2% 18 Search MONOMIALITY+PRINCIPLE Search MONOMIALITY+PRINCIPLE
5 HERMITE MATRIX POLYNOMIALS 20 100% 1% 9 Search HERMITE+MATRIX+POLYNOMIALS Search HERMITE+MATRIX+POLYNOMIALS
6 ORTHOGONAL MATRIX POLYNOMIALS 19 64% 2% 18 Search ORTHOGONAL+MATRIX+POLYNOMIALS Search ORTHOGONAL+MATRIX+POLYNOMIALS
7 GENERATING MATRIX FUNCTION 18 89% 1% 8 Search GENERATING+MATRIX+FUNCTION Search GENERATING+MATRIX+FUNCTION
8 GENERATING RELATIONS 18 67% 1% 16 Search GENERATING+RELATIONS Search GENERATING+RELATIONS
9 MATRIX VALUED ORTHOGONAL POLYNOMIALS 14 65% 1% 13 Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS
10 JACOBI MATRIX POLYNOMIALS 14 100% 1% 7 Search JACOBI+MATRIX+POLYNOMIALS Search JACOBI+MATRIX+POLYNOMIALS

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 JACOBI TYPE 31 92% 1% 12
2 STRUCTURAL FORMULAS 18 83% 1% 10
3 VALUED ORTHOGONAL POLYNOMIALS 17 79% 1% 11
4 OPERATIONAL METHODS 11 100% 1% 6
5 ORDER HEAT EQUATION 11 100% 1% 6
6 SO9 8 100% 0% 5
7 P NORMS 8 62% 1% 8
8 TSCHEBYSCHEV POLYNOMIALS 6 80% 0% 4
9 2D POLYNOMIALS 6 100% 0% 4
10 GROUP REPRESENTATION THEORY 5 63% 0% 5

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Evolution operator equations: integration with algebraic and finite-difference methods. Applications to physical problems in classical and quantum mechanics and quantum field theory 1997 44 54 35%
Products of Bessel functions and associated polynomials 2015 0 4 100%
WEYL-TITCHMARSH THEORY AND BORG-MARCHENKO-TYPE UNIQUENESS RESULTS FOR CMV OPERATORS WITH MATRIX-VALUED VERBLUNSKY COEFFICIENTS 2007 12 52 25%
MULTIPLICITY FORMULAS FOR A CLASS OF REPRESENTATIONS OF AFFINE KAC-MOODY ALGEBRAS 1994 0 5 60%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 UNITA TECN SCI TECNOL FIS AVANZATE 13 49% 1.7% 20
2 GRP FIS TEOR MATEMAT PLICATA 11 78% 0.6% 7
3 UNITA FIS TEOR 8 100% 0.4% 5
4 RIC FRASCATI 6 13% 3.5% 41
5 CIEM FAMAF 5 32% 1.0% 12
6 FIS PLICATA 4 17% 2.1% 24
7 OGDEN FUNDAMENTAL PHYS 3 45% 0.4% 5
8 RICERCHE FRASCATI 3 50% 0.3% 4
9 DIPARTIMENTO INNOVAZ 2 13% 1.5% 17
10 GRP FIS TEOR MATEMAT PL 2 67% 0.2% 2

Related classes at same level (level 2)


Rank Relatedness score Related classes
1 0.0000018410 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//SOBOLEV ORTHOGONAL POLYNOMIALS
2 0.0000013911 NEUTRIX LIMIT//HYPERASYMPTOTICS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
3 0.0000012542 RANDOM MATRICES//KAC RICE FORMULA//SAMPLE COVARIANCE MATRICES
4 0.0000011415 RAMANUJAN JOURNAL//Q SERIES//BASIC HYPERGEOMETRIC SERIES
5 0.0000010843 DUNKL TRANSFORM//DUNKL OPERATORS//BRANCHING LAW
6 0.0000009901 CUTTING ANGLE METHOD//LIPSCHITZ PROGRAMMING//NEWTONS PROBLEM
7 0.0000009027 FIBONACCI QUARTERLY//PASCAL MATRIX//BOUNDED MOVEMENT
8 0.0000008604 WAVELENGTH DEPENDENT EFFECTS//GROUP QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1
9 0.0000008296 GENERALIZED MAXIMUM ENTROPY//ENTHALPY DISTRIBUTION//FRACTIONAL MOMENTS
10 0.0000007949 ALGEBRAIC BETHE ANSATZ//REFLECTION EQUATION//INTEGRABLE SPIN CHAINS VERTEX MODELS