Class information for:
Level 1: MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
20219 471 19.7 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
15 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 719832
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
2653 2             BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3465
20219 1                   MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION 471

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 MATRIX ORTHOGONAL POLYNOMIALS authKW 1143593 4% 84% 21
2 MATRIX VALUED ORTHOGONAL POLYNOMIALS authKW 851621 4% 77% 17
3 GENERATING MATRIX FUNCTION authKW 777959 3% 100% 12
4 ORTHOGONAL MATRIX POLYNOMIALS authKW 750162 4% 64% 18
5 LAGUERRE MATRIX POLYNOMIALS authKW 713129 2% 100% 11
6 MATRIX ORTHOGONALITY authKW 653700 2% 92% 11
7 MATRIX FUNCTIONAL CALCULUS authKW 477381 2% 82% 9
8 JACOBI MATRIX POLYNOMIALS authKW 453809 1% 100% 7
9 DIFFERENTIAL CALCULUS OF NORMS authKW 388979 1% 100% 6
10 CIEM FAMAF address 368789 3% 36% 16

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 Mathematics 7871 56% 0% 262
2 Mathematics, Applied 4311 38% 0% 180
3 Physics, Mathematical 2018 19% 0% 88
4 Statistics & Probability 123 4% 0% 21
5 Multidisciplinary Sciences 17 1% 0% 6
6 Physics, Multidisciplinary 13 4% 0% 20
7 Computer Science, Software Engineering 5 1% 0% 6
8 Computer Science, Interdisciplinary Applications 1 1% 0% 5
9 History & Philosophy of Science 0 0% 0% 1
10 Mathematics, Interdisciplinary Applications 0 1% 0% 3

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 CIEM FAMAF 368789 3% 36% 16
2 CIEM 98582 4% 8% 18
3 ANALIT MATEMAT 64830 0% 100% 1
4 ANAN MATEMAT 64830 0% 100% 1
5 ESCUELA TECNOL GEST 64830 0% 100% 1
6 FAK MATH LEHRSTUHL 3 64830 0% 100% 1
7 MATH TEKNIKOKULLAR 64830 0% 100% 1
8 POLYDISCIPLIANIRE 64830 0% 100% 1
9 UNITE RECH ANAL EDP MODELISAT AEDPM 64830 0% 100% 1
10 SCI ARTS UNAIZAH 64828 0% 50% 2

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 CONSTRUCTIVE APPROXIMATION 6502 2% 1% 10
2 JOURNAL OF APPROXIMATION THEORY 6128 4% 1% 18
3 UTILITAS MATHEMATICA 5638 3% 1% 12
4 MISKOLC MATHEMATICAL NOTES 3886 1% 1% 5
5 MATHEMATICAL PHYSICS ANALYSIS AND GEOMETRY 3697 1% 1% 4
6 SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS 3453 2% 1% 8
7 SIAM JOURNAL ON ALGEBRAIC AND DISCRETE METHODS 2323 1% 1% 4
8 JOURNAL OF LIE THEORY 2140 1% 1% 5
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 2049 4% 0% 18
10 BULLETIN DES SCIENCES MATHEMATIQUES 1912 1% 0% 6

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 MATRIX ORTHOGONAL POLYNOMIALS 1143593 4% 84% 21 Search MATRIX+ORTHOGONAL+POLYNOMIALS Search MATRIX+ORTHOGONAL+POLYNOMIALS
2 MATRIX VALUED ORTHOGONAL POLYNOMIALS 851621 4% 77% 17 Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS
3 GENERATING MATRIX FUNCTION 777959 3% 100% 12 Search GENERATING+MATRIX+FUNCTION Search GENERATING+MATRIX+FUNCTION
4 ORTHOGONAL MATRIX POLYNOMIALS 750162 4% 64% 18 Search ORTHOGONAL+MATRIX+POLYNOMIALS Search ORTHOGONAL+MATRIX+POLYNOMIALS
5 LAGUERRE MATRIX POLYNOMIALS 713129 2% 100% 11 Search LAGUERRE+MATRIX+POLYNOMIALS Search LAGUERRE+MATRIX+POLYNOMIALS
6 MATRIX ORTHOGONALITY 653700 2% 92% 11 Search MATRIX+ORTHOGONALITY Search MATRIX+ORTHOGONALITY
7 MATRIX FUNCTIONAL CALCULUS 477381 2% 82% 9 Search MATRIX+FUNCTIONAL+CALCULUS Search MATRIX+FUNCTIONAL+CALCULUS
8 JACOBI MATRIX POLYNOMIALS 453809 1% 100% 7 Search JACOBI+MATRIX+POLYNOMIALS Search JACOBI+MATRIX+POLYNOMIALS
9 DIFFERENTIAL CALCULUS OF NORMS 388979 1% 100% 6 Search DIFFERENTIAL+CALCULUS+OF+NORMS Search DIFFERENTIAL+CALCULUS+OF+NORMS
10 HERMITE MATRIX POLYNOMIALS 352960 1% 78% 7 Search HERMITE+MATRIX+POLYNOMIALS Search HERMITE+MATRIX+POLYNOMIALS

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 PACHARONI, I , ZURRIAN, I , (2016) MATRIX GEGENBAUER POLYNOMIALS: THE FUNDAMENTAL CASES.CONSTRUCTIVE APPROXIMATION. VOL. 43. ISSUE 2. P. 253 -271 20 100% 1
2 DURAN, AJ , GRUNBAUM, FA , (2005) A SURVEY ON ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND ORDER DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 178. ISSUE 1-2. P. 169-190 25 100% 18
3 CASTRO, MM , GRUNBAUM, FA , (2006) THE ALGEBRA OF DIFFERENTIAL OPERATORS ASSOCIATED TO A FAMILY OF MATRIX-VALUED ORTHOGONAL POLYNOMIALS: FIVE INSTRUCTIVE EXAMPLES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE . P. - 26 93% 17
4 YAKHLEF, HO , MARCELLAN, F , (2016) RELATIVE ASYMPTOTICS OF MATRIX ORTHOGONAL POLYNOMIALS FOR UVAROV PERTURBATIONS: THE DEGENERATE CASE.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 3135 -3153 20 91% 0
5 DURAN, AJ , SHAYANFAR, N , (2013) CONSTRUCTING ORTHOGONAL MATRIX POLYNOMIALS SATISFYING DIFFERENTIAL EQUATIONS FROM TWO DIFFERENT LAGUERRE WEIGHTS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 24. ISSUE 4. P. 263-279 18 100% 1
6 KOELINK, E , VAN PRUIJSSEN, M , ROMAN, P , (2012) MATRIX-VALUED ORTHOGONAL POLYNOMIALS RELATED TO (SU(2)XSU(2), DIAG).INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 24. P. 5673 -5730 19 95% 3
7 SHEHATA, A , (2016) SOME RELATIONS ON KONHAUSER MATRIX POLYNOMIALS.MISKOLC MATHEMATICAL NOTES. VOL. 17. ISSUE 1. P. 605 -633 16 100% 0
8 DURAN, AJ , (2012) THE ALGEBRA OF DIFFERENCE OPERATORS ASSOCIATED TO A FAMILY OF ORTHOGONAL POLYNOMIALS.JOURNAL OF APPROXIMATION THEORY. VOL. 164. ISSUE 5. P. 586-610 17 100% 2
9 BORREGO, J , CASTRO, M , DURAN, AJ , (2012) ORTHOGONAL MATRIX POLYNOMIALS SATISFYING DIFFERENTIAL EQUATIONS WITH RECURRENCE COEFFICIENTS HAVING NON-SCALAR LIMITS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 23. ISSUE 9. P. 685 -700 17 100% 2
10 GRUNBAUM, FA , (2014) SOME NONCOMMUTATIVE MATRIX ALGEBRAS ARISING IN THE BISPECTRAL PROBLEM.SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS. VOL. 10. ISSUE . P. - 20 80% 2

Classes with closest relation at Level 1


Rank Class id link
1 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
2 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
3 7969 CALOGERO SUTHERLAND MODEL//CALOGERO MOSER SYSTEM//HALDANE SHASTRY SPIN CHAIN
4 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
5 27268 KRICHEVER NOVIKOV ALGEBRAS//POINCARE RESIDUE//ELECTRONS IN REDUCED DIMENSIONS
6 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
7 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
8 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
9 28890 FBI BARGMANN TRANSFORM//COMPLEX PERTURBATION//INFINITE CURVATURE
10 30091 ANALYTIC NUMERICAL SOLUTION//COUPLED DIFFUSION PROBLEM//A PRIORI ERROR BOUND

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