Class information for:
Level 3: MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
404 29787 18.5 38%


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
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
2388 2             RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX 4248
2523 2             GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS 3821
2653 2             BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3465

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 MATHEMATICS WoSSC 457154 53% 3% 15900
2 ORTHOGONAL POLYNOMIALS authKW 428791 3% 52% 815
3 MATHEMATICS, APPLIED WoSSC 342317 43% 3% 12703
4 FIBONACCI QUARTERLY journal 338292 2% 54% 615
5 GAMMA FUNCTION authKW 259243 1% 69% 368
6 JOURNAL OF APPROXIMATION THEORY journal 232771 3% 26% 883
7 MATH address 212990 32% 2% 9509
8 RANDOM MATRICES authKW 194610 1% 51% 374
9 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS journal 181698 5% 13% 1346
10 BERNOULLI NUMBERS authKW 163182 1% 72% 221

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 457154 53% 3% 15900
2 Mathematics, Applied 342317 43% 3% 12703
3 Physics, Mathematical 19320 8% 1% 2302
4 Statistics & Probability 14987 6% 1% 1775
5 Computer Science, Theory & Methods 3737 4% 1% 1119
6 Computer Science, Software Engineering 2160 2% 0% 733
7 Computer Science, Interdisciplinary Applications 437 2% 0% 510
8 Mathematics, Interdisciplinary Applications 220 1% 0% 330
9 Physics, Multidisciplinary 127 3% 0% 846
10 Physics, Particles & Fields 113 2% 0% 493

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 MATH 212990 32% 2% 9509
2 GEN EDUC MATH 59601 0% 64% 91
3 GEOMATH GRP 37395 0% 76% 48
4 COMBINATOR 37147 1% 23% 162
5 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 31308 0% 54% 57
6 TEXT TECHNOL 30787 1% 11% 276
7 MATH STAT 26980 5% 2% 1407
8 LPMC TJKLC 23521 0% 25% 93
9 MATH INEQUAL THEORY 21822 0% 89% 24
10 CONSTRUCT PROXIMAT 19182 0% 57% 33

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 FIBONACCI QUARTERLY 338292 2% 54% 615
2 JOURNAL OF APPROXIMATION THEORY 232771 3% 26% 883
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 181698 5% 13% 1346
4 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 155530 1% 35% 436
5 MATHEMATICAL INEQUALITIES & APPLICATIONS 106341 1% 27% 383
6 JOURNAL OF MATHEMATICAL INEQUALITIES 99495 1% 42% 232
7 CONSTRUCTIVE APPROXIMATION 92838 1% 30% 301
8 JOURNAL OF INEQUALITIES AND APPLICATIONS 79566 2% 15% 509
9 ADVANCES IN APPLIED MATHEMATICS 79503 1% 23% 335
10 ELECTRONIC JOURNAL OF COMBINATORICS 76450 1% 17% 433

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 POLYNOMIALS 428791 3% 52% 815 Search ORTHOGONAL+POLYNOMIALS Search ORTHOGONAL+POLYNOMIALS
2 GAMMA FUNCTION 259243 1% 69% 368 Search GAMMA+FUNCTION Search GAMMA+FUNCTION
3 RANDOM MATRICES 194610 1% 51% 374 Search RANDOM+MATRICES Search RANDOM+MATRICES
4 BERNOULLI NUMBERS 163182 1% 72% 221 Search BERNOULLI+NUMBERS Search BERNOULLI+NUMBERS
5 GENERATING FUNCTION 155981 2% 34% 452 Search GENERATING+FUNCTION Search GENERATING+FUNCTION
6 BERNOULLI POLYNOMIALS 141436 1% 69% 201 Search BERNOULLI+POLYNOMIALS Search BERNOULLI+POLYNOMIALS
7 HERMITE HADAMARD INEQUALITY 132572 0% 88% 148 Search HERMITE+HADAMARD+INEQUALITY Search HERMITE+HADAMARD+INEQUALITY
8 MULTIPLE ZETA VALUES 108304 0% 88% 120 Search MULTIPLE+ZETA+VALUES Search MULTIPLE+ZETA+VALUES
9 STIRLING NUMBERS 100949 1% 65% 153 Search STIRLING+NUMBERS Search STIRLING+NUMBERS
10 PSI FUNCTION 94202 0% 87% 106 Search PSI+FUNCTION Search PSI+FUNCTION

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 PAUL, D , AUE, A , (2014) RANDOM MATRIX THEORY IN STATISTICS: A REVIEW.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 150. ISSUE . P. 1 -29 143 72% 7
2 NOTARIS, SE , (2016) GAUSS-KRONROD QUADRATURE FORMULAE - A SURVEY OF FIFTY YEARS OF RESEARCH.ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS. VOL. 45. ISSUE . P. 371 -404 100 93% 1
3 DI BUCCHIANICO, A , LOEB, D , (2000) A SELECTED SURVEY OF UMBRAL CALCULUS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. . ISSUE . P. - 142 91% 5
4 BEHREND, RE , (2013) MULTIPLY-REFINED ENUMERATION OF ALTERNATING SIGN MATRICES.ADVANCES IN MATHEMATICS. VOL. 245. ISSUE . P. 439 -499 82 96% 4
5 BRAUCHART, JS , GRABNER, PJ , (2015) DISTRIBUTING MANY POINTS ON SPHERES: MINIMAL ENERGY AND DESIGNS.JOURNAL OF COMPLEXITY. VOL. 31. ISSUE 3. P. 293 -326 92 75% 2
6 AKEMANN, G , IPSEN, JR , (2015) RECENT EXACT AND ASYMPTOTIC RESULTS FOR PRODUCTS OF INDEPENDENT RANDOM MATRICES.ACTA PHYSICA POLONICA B. VOL. 46. ISSUE 9. P. 1747 -1784 63 95% 11
7 QI, F , (2010) BOUNDS FOR THE RATIO OF TWO GAMMA FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 66 94% 23
8 WETTIG, T , VERBAARSCHOT, JJM , (2000) RANDOM MATRIX THEORY AND CHIRAL SYMMETRY IN QCD.ANNUAL REVIEW OF NUCLEAR AND PARTICLE SCIENCE. VOL. 50. ISSUE . P. 343 -410 127 54% 177
9 HUMPHREYS, K , (2010) A HISTORY AND A SURVEY OF LATTICE PATH ENUMERATION.JOURNAL OF STATISTICAL PLANNING AND INFERENCE. VOL. 140. ISSUE 8. P. 2237 -2254 68 89% 6
10 AKEMAN, G , (2007) MATRIX MODELS AND QCD WITH CHEMICAL POTENTIAL.INTERNATIONAL JOURNAL OF MODERN PHYSICS A. VOL. 22. ISSUE 6. P. 1077-1122 75 82% 37

Classes with closest relation at Level 3


Rank Class id link
1 485 LINEAR ALGEBRA AND ITS APPLICATIONS//BENFORDS LAW//MATHEMATICS, APPLIED
2 609 FIXED POINT//HYERS ULAM STABILITY//PITMAN RESEARCH NOTES IN MATHEMATICS SERIES
3 377 TOPOLOGY OPTIMIZATION//STRUCTURAL AND MULTIDISCIPLINARY OPTIMIZATION//LATTICE RULES
4 205 MATHEMATICS//JOURNAL OF NUMBER THEORY//ACTA ARITHMETICA
5 234 JOURNAL OF ALGEBRA//MATHEMATICS//COMMUNICATIONS IN ALGEBRA
6 549 MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE
7 568 COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN
8 664 MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS
9 516 PT SYMMETRY//PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL
10 383 STATISTICS & PROBABILITY//ANNALS OF PROBABILITY//STOCHASTIC PROCESSES AND THEIR APPLICATIONS

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