Class information for:
Level 1: MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS

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
12356 1                   MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS 943

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MULTIPLE ORTHOGONAL POLYNOMIALS authKW 1825178 7% 85% 64
2 NIKISHIN SYSTEMS authKW 736638 2% 96% 23
3 HERMITE PADE APPROXIMANTS authKW 454058 3% 54% 25
4 D ORTHOGONAL POLYNOMIALS authKW 450290 2% 84% 16
5 HERMITE PADE APPROXIMATION authKW 409382 2% 58% 21
6 RIEMANN HILBERT PROBLEMS authKW 363903 3% 33% 33
7 NON HERMITIAN ORTHOGONALITY authKW 303820 1% 91% 10
8 STRONG ASYMPTOTICS authKW 242593 1% 52% 14
9 RIEMANN HILBERT APPROACH authKW 225583 1% 75% 9
10 MEROMORPHIC APPROXIMATION authKW 222796 1% 67% 10

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 19975 63% 0% 590
2 Mathematics, Applied 6424 33% 0% 313
3 Physics, Mathematical 2770 16% 0% 147
4 Statistics & Probability 29 2% 0% 18
5 Physics, Multidisciplinary 18 4% 0% 36
6 Physics, Fluids & Plasmas 1 1% 0% 8
7 Mechanics 1 1% 0% 14
8 Physics, Particles & Fields 1 1% 0% 12
9 Automation & Control Systems -0 0% 0% 3
10 Multidisciplinary Sciences -1 0% 0% 1

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH P PAINLEVE 139250 1% 83% 5
2 PROJECT ICS 133677 1% 67% 6
3 FRANCOCHINOIS ENERGIE NUCL 100255 1% 50% 6
4 FB MATH 2 44559 0% 67% 2
5 RECH MATH 44433 4% 4% 35
6 UFR MATH M3 38189 0% 29% 4
7 CONSTRUCT MATH 35643 0% 27% 4
8 MV KELDYSH PL MATH 35498 3% 4% 28
9 AE ESCARIZ UNITY MATEMAT LICACOES 33420 0% 100% 1
10 CONTRUCT MATH 33420 0% 100% 1

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF APPROXIMATION THEORY 137228 13% 3% 119
2 CONSTRUCTIVE APPROXIMATION 113832 6% 6% 59
3 SBORNIK MATHEMATICS 52385 5% 3% 50
4 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 21023 9% 1% 81
5 RANDOM MATRICES-THEORY AND APPLICATIONS 19790 1% 7% 8
6 ANALYSIS AND APPLICATIONS 11370 1% 3% 11
7 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 7975 1% 3% 7
8 INTERNATIONAL MATHEMATICS RESEARCH NOTICES 6647 3% 1% 25
9 RUSSIAN MATHEMATICAL SURVEYS 5911 2% 1% 21
10 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 5035 1% 1% 13

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 MULTIPLE ORTHOGONAL POLYNOMIALS 1825178 7% 85% 64 Search MULTIPLE+ORTHOGONAL+POLYNOMIALS Search MULTIPLE+ORTHOGONAL+POLYNOMIALS
2 NIKISHIN SYSTEMS 736638 2% 96% 23 Search NIKISHIN+SYSTEMS Search NIKISHIN+SYSTEMS
3 HERMITE PADE APPROXIMANTS 454058 3% 54% 25 Search HERMITE+PADE+APPROXIMANTS Search HERMITE+PADE+APPROXIMANTS
4 D ORTHOGONAL POLYNOMIALS 450290 2% 84% 16 Search D+ORTHOGONAL+POLYNOMIALS Search D+ORTHOGONAL+POLYNOMIALS
5 HERMITE PADE APPROXIMATION 409382 2% 58% 21 Search HERMITE+PADE+APPROXIMATION Search HERMITE+PADE+APPROXIMATION
6 RIEMANN HILBERT PROBLEMS 363903 3% 33% 33 Search RIEMANN+HILBERT+PROBLEMS Search RIEMANN+HILBERT+PROBLEMS
7 NON HERMITIAN ORTHOGONALITY 303820 1% 91% 10 Search NON+HERMITIAN+ORTHOGONALITY Search NON+HERMITIAN+ORTHOGONALITY
8 STRONG ASYMPTOTICS 242593 1% 52% 14 Search STRONG+ASYMPTOTICS Search STRONG+ASYMPTOTICS
9 RIEMANN HILBERT APPROACH 225583 1% 75% 9 Search RIEMANN+HILBERT+APPROACH Search RIEMANN+HILBERT+APPROACH
10 MEROMORPHIC APPROXIMATION 222796 1% 67% 10 Search MEROMORPHIC+APPROXIMATION Search MEROMORPHIC+APPROXIMATION

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 8946 LAST PASSAGE PERCOLATION//AIRY PROCESS//TRACY WIDOM DISTRIBUTION
2 14720 JACOBI MATRICES//ABSOLUTELY CONTINUOUS SPECTRUM//UNIVERSALITY LIMITS
3 14049 HERMITE FEJER INTERPOLATION//FREUD WEIGHTS//ERDOS WEIGHTS
4 9204 SOBOLEV ORTHOGONAL POLYNOMIALS//ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
5 6272 RANDOM MATRICES//LIMITING SPECTRAL DISTRIBUTION//STIELTJES TRANSFORM
6 23682 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//FABER OPERATOR
7 20472 TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES
8 11804 DISPERSIVE SHOCK WAVES//WHITHAM EQUATIONS//RIEMANN HILBERT PROBLEM
9 6639 PAINLEVE EQUATIONS//GMPIB//DISCRETE PAINLEVE EQUATIONS
10 12024 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS

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