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

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
1285 2             JOURNAL OF APPROXIMATION THEORY//ORTHOGONAL POLYNOMIALS//MODULUS OF CONTINUITY 9020
12024 1                   ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS 965

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ORTHOGONAL RATIONAL FUNCTIONS authKW 1473686 6% 79% 57
2 SZEGO POLYNOMIALS authKW 1264522 5% 88% 44
3 ORTHOGONAL LAURENT POLYNOMIALS authKW 687244 2% 96% 22
4 PARA ORTHOGONAL POLYNOMIALS authKW 567967 2% 87% 20
5 REMAINDER TERM FOR ANALYTIC FUNCTIONS authKW 522534 2% 100% 16
6 THE METHOD OF UNDETERMINED COEFFICIENT authKW 522534 2% 100% 16
7 CONTOUR INTEGRAL REPRESENTATION authKW 449435 2% 81% 17
8 THE METHOD OF SOLVING NONLINEAR SYSTEMS authKW 424559 1% 100% 13
9 STIELTJES POLYNOMIALS authKW 400062 1% 88% 14
10 SZEGO QUADRATURE FORMULAS authKW 359242 1% 100% 11

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 37579 77% 0% 746
2 Mathematics 4791 31% 0% 301
3 Computer Science, Software Engineering 288 4% 0% 43
4 Physics, Mathematical 16 2% 0% 18
5 Mechanics 1 2% 0% 15
6 Computer Science, Theory & Methods 1 1% 0% 10
7 Social Sciences, Mathematical Methods -0 0% 0% 1
8 Engineering, General -0 0% 0% 4
9 Computer Science, Interdisciplinary Applications -0 1% 0% 5
10 Mathematics, Interdisciplinary Applications -1 0% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SANJESH ORG 326584 1% 100% 10
2 MATH ANAL 67314 6% 3% 59
3 SIGNAL THEORY SECT 58783 0% 60% 3
4 CIENCIAS COMPUTACAO ESTATIST 55171 1% 24% 7
5 NTH MATH SCI 43543 0% 67% 2
6 COMP SC 41986 0% 43% 3
7 IBILCE 35115 3% 4% 27
8 ANO EDP 32658 0% 100% 1
9 DOCCE 32658 0% 100% 1
10 EDIFICIO J L VIVES 32658 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 128345 21% 2% 202
2 MATHEMATICS OF COMPUTATION 42893 8% 2% 73
3 NUMERISCHE MATHEMATIK 32507 6% 2% 55
4 NUMERICAL ALGORITHMS 26416 4% 2% 39
5 JOURNAL OF APPROXIMATION THEORY 25546 5% 2% 52
6 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 16584 2% 3% 17
7 BIT NUMERICAL MATHEMATICS 10404 2% 1% 22
8 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 6169 2% 1% 24
9 APPLIED NUMERICAL MATHEMATICS 6140 2% 1% 24
10 CONSTRUCTIVE APPROXIMATION 5380 1% 1% 13

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 ORTHOGONAL RATIONAL FUNCTIONS 1473686 6% 79% 57 Search ORTHOGONAL+RATIONAL+FUNCTIONS Search ORTHOGONAL+RATIONAL+FUNCTIONS
2 SZEGO POLYNOMIALS 1264522 5% 88% 44 Search SZEGO+POLYNOMIALS Search SZEGO+POLYNOMIALS
3 ORTHOGONAL LAURENT POLYNOMIALS 687244 2% 96% 22 Search ORTHOGONAL+LAURENT+POLYNOMIALS Search ORTHOGONAL+LAURENT+POLYNOMIALS
4 PARA ORTHOGONAL POLYNOMIALS 567967 2% 87% 20 Search PARA+ORTHOGONAL+POLYNOMIALS Search PARA+ORTHOGONAL+POLYNOMIALS
5 REMAINDER TERM FOR ANALYTIC FUNCTIONS 522534 2% 100% 16 Search REMAINDER+TERM+FOR+ANALYTIC+FUNCTIONS Search REMAINDER+TERM+FOR+ANALYTIC+FUNCTIONS
6 THE METHOD OF UNDETERMINED COEFFICIENT 522534 2% 100% 16 Search THE+METHOD+OF+UNDETERMINED+COEFFICIENT Search THE+METHOD+OF+UNDETERMINED+COEFFICIENT
7 CONTOUR INTEGRAL REPRESENTATION 449435 2% 81% 17 Search CONTOUR+INTEGRAL+REPRESENTATION Search CONTOUR+INTEGRAL+REPRESENTATION
8 THE METHOD OF SOLVING NONLINEAR SYSTEMS 424559 1% 100% 13 Search THE+METHOD+OF+SOLVING+NONLINEAR+SYSTEMS Search THE+METHOD+OF+SOLVING+NONLINEAR+SYSTEMS
9 STIELTJES POLYNOMIALS 400062 1% 88% 14 Search STIELTJES+POLYNOMIALS Search STIELTJES+POLYNOMIALS
10 SZEGO QUADRATURE FORMULAS 359242 1% 100% 11 Search SZEGO+QUADRATURE+FORMULAS Search SZEGO+QUADRATURE+FORMULAS

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 14720 JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS
2 9204 SOBOLEV ORTHOGONAL POLYNOMIALS//ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
3 14049 HERMITE FEJER INTERPOLATION//FREUD WEIGHTS//ERDOS WEIGHTS
4 24801 CONTINUED FRACTIONS//Q CONTINUED FRACTION//BAUER MUIR TRANSFORMATION
5 19310 TRIDIAGONAL MATRICES//JORDANS FORM//ANTI TRIDIAGONAL MATRICES
6 27289 IMMITTANCE ALGORITHMS//ROUTH TEST//SCHUR COHN TEST
7 20943 OSCILLATORY INTEGRALS//PL MATH SOFTWARE//FILON TYPE METHOD
8 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
9 35518 FERMI DIRAC INTEGRAL//GENERALIZED FERMI DIRAC INTEGRAL//SOMMERFELD EXPANSION
10 14551 CAUCHY PRINCIPAL VALUE INTEGRALS//FINITE PART INTEGRAL//CAUCHY SINGULAR INTEGRAL EQUATION

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