Class information for:
Level 1: ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16438 653 17.2 35%


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
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
16438 1                   ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS 653

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 ORTHOGONAL RATIONAL FUNCTIONS authKW 1947879 8% 77% 54
2 SZEGO POLYNOMIALS authKW 1081078 5% 68% 34
3 ORTHOGONAL LAURENT POLYNOMIALS authKW 896576 3% 91% 21
4 PARA ORTHOGONAL POLYNOMIALS authKW 520453 2% 70% 16
5 SZEGO QUADRATURE FORMULAS authKW 514364 2% 100% 11
6 STRONG DISTRIBUTION authKW 327323 1% 100% 7
7 CHAIN SEQUENCES authKW 246098 2% 53% 10
8 QUADRATURE FORMULAS authKW 207879 3% 26% 17
9 BERNSTEIN MEASURES authKW 187041 1% 100% 4
10 RESTRAINED SEQUENCES authKW 187041 1% 100% 4

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, Applied 13260 56% 0% 367
2 Mathematics 9005 51% 0% 331
3 Computer Science, Software Engineering 9 1% 0% 9
4 Physics, Mathematical 1 1% 0% 7
5 Automation & Control Systems 1 1% 0% 4
6 Engineering, General 0 1% 0% 5
7 Mathematics, Interdisciplinary Applications -0 0% 0% 3
8 Literature -0 0% 0% 1
9 Computer Science, Theory & Methods -0 1% 0% 4
10 Statistics & Probability -0 0% 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 NTH MATH SCI 140281 0% 100% 3
2 MATH ANAL 91485 9% 3% 56
3 SIGNAL THEORY SECT 84166 0% 60% 3
4 CIENCIAS COMPUTACAO ESTATIST 78998 1% 24% 7
5 COMP SC 60117 0% 43% 3
6 IBILCE 48136 4% 4% 26
7 ANO EDP 46760 0% 100% 1
8 CRC CONCISE ENCYCLOPEDIA MATH 46760 0% 100% 1
9 EDIFICIO J L VIVES 46760 0% 100% 1
10 IBILGE 46760 0% 100% 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 COMPUTATIONAL AND APPLIED MATHEMATICS 84337 21% 1% 135
2 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 27477 6% 1% 42
3 LECTURE NOTES IN MATHEMATICS 24310 9% 1% 61
4 JOURNAL OF APPROXIMATION THEORY 19738 6% 1% 38
5 APPLIED NUMERICAL MATHEMATICS 13341 4% 1% 29
6 CONSTRUCTIVE APPROXIMATION 9193 2% 1% 14
7 NUMERISCHE MATHEMATIK 6245 3% 1% 20
8 NUMERICAL ALGORITHMS 5115 2% 1% 14
9 ADVOCATE 4674 0% 10% 1
10 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 4258 7% 0% 44

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 ORTHOGONAL RATIONAL FUNCTIONS 1947879 8% 77% 54 Search ORTHOGONAL+RATIONAL+FUNCTIONS Search ORTHOGONAL+RATIONAL+FUNCTIONS
2 SZEGO POLYNOMIALS 1081078 5% 68% 34 Search SZEGO+POLYNOMIALS Search SZEGO+POLYNOMIALS
3 ORTHOGONAL LAURENT POLYNOMIALS 896576 3% 91% 21 Search ORTHOGONAL+LAURENT+POLYNOMIALS Search ORTHOGONAL+LAURENT+POLYNOMIALS
4 PARA ORTHOGONAL POLYNOMIALS 520453 2% 70% 16 Search PARA+ORTHOGONAL+POLYNOMIALS Search PARA+ORTHOGONAL+POLYNOMIALS
5 SZEGO QUADRATURE FORMULAS 514364 2% 100% 11 Search SZEGO+QUADRATURE+FORMULAS Search SZEGO+QUADRATURE+FORMULAS
6 STRONG DISTRIBUTION 327323 1% 100% 7 Search STRONG+DISTRIBUTION Search STRONG+DISTRIBUTION
7 CHAIN SEQUENCES 246098 2% 53% 10 Search CHAIN+SEQUENCES Search CHAIN+SEQUENCES
8 QUADRATURE FORMULAS 207879 3% 26% 17 Search QUADRATURE+FORMULAS Search QUADRATURE+FORMULAS
9 BERNSTEIN MEASURES 187041 1% 100% 4 Search BERNSTEIN+MEASURES Search BERNSTEIN+MEASURES
10 RESTRAINED SEQUENCES 187041 1% 100% 4 Search RESTRAINED+SEQUENCES Search RESTRAINED+SEQUENCES

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 JONES, WB , NJASTAD, O , (1999) ORTHOGONAL LAURENT POLYNOMIALS AND STRONG MOMENT THEORY: A SURVEY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 105. ISSUE 1-2. P. 51 -91 36 92% 30
2 BULTHEEL, A , CANTERO, MJ , CRUZ-BARROSO, R , (2015) MATRIX METHODS FOR QUADRATURE FORMULAS ON THE UNIT CIRCLE. A SURVEY.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 284. ISSUE . P. 78 -100 22 71% 0
3 BONAN-HAMADA, C , JONES, WB , NJASTAD, O , (2016) SURVEY ARTICLE: CONTINUED FRACTIONS ASSOCIATED WITH WIENER-LEVINSON FILTERS, FREQUENCY ANALYSIS, MOMENT THEORY AND POLYNOMIALS ORTHOGONAL ON THE UNIT CIRCLE.ROCKY MOUNTAIN JOURNAL OF MATHEMATICS. VOL. 46. ISSUE 1. P. 1 -49 20 74% 0
4 FRITZSCHE, B , KIRSTEIN, B , LASAROW, A , (2012) PARA-ORTHOGONAL RATIONAL MATRIX-VALUED FUNCTIONS ON THE UNIT CIRCLE.OPERATORS AND MATRICES. VOL. 6. ISSUE 4. P. 631-679 24 67% 1
5 DECKERS, K , BULTHEEL, A , VAN DEUN, J , (2011) A GENERALIZED EIGENVALUE PROBLEM FOR QUASI-ORTHOGONAL RATIONAL FUNCTIONS.NUMERISCHE MATHEMATIK. VOL. 117. ISSUE 3. P. 463 -506 22 73% 4
6 JONES, WB , THRON, WJ , (1988) CONTINUED FRACTIONS IN NUMERICAL-ANALYSIS.APPLIED NUMERICAL MATHEMATICS. VOL. 4. ISSUE 2-4. P. 143-230 35 90% 5
7 DIAZ-MENDOZA, C , GONZALEZ-VERA, P , JIMENEZ-PAIZ, M , (2005) STRONG STIELTJES DISTRIBUTIONS AND ORTHOGONAL LAURENT POLYNOMIALS WITH APPLICATIONS TO QUADRATURES AND PADE APPROXIMATION.MATHEMATICS OF COMPUTATION. VOL. 74. ISSUE 252. P. 1843 -1870 16 100% 11
8 DECKERS, K , CANTERO, MJ , MORAL, L , VELAZQUEZ, L , (2011) AN EXTENSION OF THE ASSOCIATED RATIONAL FUNCTIONS ON THE UNIT CIRCLE.JOURNAL OF APPROXIMATION THEORY. VOL. 163. ISSUE 4. P. 524 -546 17 74% 0
9 DIAZ-MENDOZA, C , GONZALEZ-VERA, P , PAIZ, MJ , ORIVE, R , (2009) ON CERTAIN SYMMETRIC STRONG DISTRIBUTIONS, TWO-POINT PADE APPROXIMATION AND RELATED QUADRATURES.APPLIED NUMERICAL MATHEMATICS. VOL. 59. ISSUE 8. P. 2002-2014 14 93% 1
10 CRAVIOTTO, C , JONES, WB , THRON, WJ , (1993) A SURVEY OF TRUNCATION ERROR ANALYSIS FOR PADE AND CONTINUED-FRACTION APPROXIMANTS.ACTA APPLICANDAE MATHEMATICAE. VOL. 33. ISSUE 2-3. P. 211-272 22 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 24535 SEMISEPARABLE MATRICES//QUASISEPARABLE MATRICES//QR ITERATION
2 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
3 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
4 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
5 26482 IMMITTANCE ALGORITHMS//CRITICAL STABILITY CONSTRAINTS//DISCRETE TIME SYSTEM STABILITY
6 15853 CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS
7 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
8 4794 RANDOM SCHRODINGER OPERATORS//INTEGRATED DENSITY OF STATES//ABSOLUTELY CONTINUOUS SPECTRUM
9 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
10 28552 WEEKS METHOD//SLOWLY CONVERGENT SERIES//LAPLACE TRANSFORM INVERSION

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