Class information for:
Level 1: STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS

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
1756 2             STIRLING NUMBERS//BERNOULLI POLYNOMIALS//GENERATING FUNCTION 6787
20679 1                   STIRLING NUMBERS//R STIRLING NUMBERS//BELL NUMBERS 474

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 STIRLING NUMBERS authKW 779497 12% 21% 55
2 R STIRLING NUMBERS authKW 664901 2% 100% 10
3 BELL NUMBERS authKW 619844 4% 55% 17
4 LEGENDRE STIRLING NUMBERS authKW 604454 2% 91% 10
5 JACOBI STIRLING NUMBERS authKW 511458 2% 77% 10
6 R WHITNEY NUMBERS authKW 472817 2% 89% 8
7 GENERALIZED STIRLING NUMBERS authKW 391110 2% 59% 10
8 LEFT DEFINITE SELF ADJOINT OPERATOR authKW 332451 1% 100% 5
9 LEFT DEFINITE THEORY authKW 277041 1% 83% 5
10 LEFT DEFINITE HILBERT SPACE authKW 265961 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 10565 64% 0% 304
2 Mathematics, Applied 2841 31% 0% 148
3 Statistics & Probability 481 8% 0% 39
4 Physics, Mathematical 106 5% 0% 23
5 Physics, Multidisciplinary 32 5% 0% 26
6 Computer Science, Software Engineering 8 1% 0% 7
7 Logic 3 0% 0% 1
8 Social Sciences, Mathematical Methods 2 0% 0% 2
9 Computer Science, Cybernetics 1 0% 0% 1
10 Computer Science, Hardware & Architecture 0 0% 0% 2

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH ICT 265961 1% 100% 4
2 TUTT SCI 132980 0% 100% 2
3 ANAL MAT MATEMAT 66490 0% 100% 1
4 CIENCIAS FISL 66490 0% 100% 1
5 CNRSUMR 9936 66490 0% 100% 1
6 PD53 66490 0% 100% 1
7 RECITSS 66490 0% 100% 1
8 STAATLICHE STUDIENAKAD LEIPZIG 66490 0% 100% 1
9 UNITA TECN SCI TECNOL FIS AVANZATE ENEA 66490 0% 100% 1
10 DG RSDT 53190 0% 40% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 FIBONACCI QUARTERLY 226306 15% 5% 69
2 ADVANCES IN APPLIED MATHEMATICS 10099 3% 1% 15
3 DISCRETE MATHEMATICS 8038 8% 0% 38
4 ARS COMBINATORIA 5663 4% 0% 18
5 ELECTRONIC JOURNAL OF COMBINATORICS 5000 3% 1% 14
6 JOURNAL OF NUMBER THEORY 4414 4% 0% 18
7 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 4167 2% 1% 9
8 JOURNAL OF COMBINATORIAL THEORY SERIES A 3881 3% 0% 14
9 ANALYSIS MATHEMATICA 3577 1% 2% 3
10 EUROPEAN JOURNAL OF COMBINATORICS 3028 3% 0% 12

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 STIRLING NUMBERS 779497 12% 21% 55 Search STIRLING+NUMBERS Search STIRLING+NUMBERS
2 R STIRLING NUMBERS 664901 2% 100% 10 Search R+STIRLING+NUMBERS Search R+STIRLING+NUMBERS
3 BELL NUMBERS 619844 4% 55% 17 Search BELL+NUMBERS Search BELL+NUMBERS
4 LEGENDRE STIRLING NUMBERS 604454 2% 91% 10 Search LEGENDRE+STIRLING+NUMBERS Search LEGENDRE+STIRLING+NUMBERS
5 JACOBI STIRLING NUMBERS 511458 2% 77% 10 Search JACOBI+STIRLING+NUMBERS Search JACOBI+STIRLING+NUMBERS
6 R WHITNEY NUMBERS 472817 2% 89% 8 Search R+WHITNEY+NUMBERS Search R+WHITNEY+NUMBERS
7 GENERALIZED STIRLING NUMBERS 391110 2% 59% 10 Search GENERALIZED+STIRLING+NUMBERS Search GENERALIZED+STIRLING+NUMBERS
8 LEFT DEFINITE SELF ADJOINT OPERATOR 332451 1% 100% 5 Search LEFT+DEFINITE+SELF+ADJOINT+OPERATOR Search LEFT+DEFINITE+SELF+ADJOINT+OPERATOR
9 LEFT DEFINITE THEORY 277041 1% 83% 5 Search LEFT+DEFINITE+THEORY Search LEFT+DEFINITE+THEORY
10 LEFT DEFINITE HILBERT SPACE 265961 1% 100% 4 Search LEFT+DEFINITE+HILBERT+SPACE Search LEFT+DEFINITE+HILBERT+SPACE

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 37905 Q BINOMIAL DISTRIBUTION//EULER DISTRIBUTION//HEINE DISTRIBUTION
2 7868 PATTERN AVOIDANCE//MAJOR INDEX//RESTRICTED PERMUTATION
3 12655 RIORDAN ARRAYS//RIORDAN GROUP//PASCAL MATRIX
4 9138 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
5 30651 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
6 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
7 22844 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
8 14734 SUPERCONGRUENCES//FERMAT QUOTIENTS//CENTRAL BINOMIAL COEFFICIENTS
9 34539 LADDER THEORY//SCHRODINGER HARMONIC OSCILLATOR//81S05
10 27603 MATRIX PENCIL THEORY//MATRIX DIFFERENCE EQUATIONS//FIBONACCI QUARTERLY

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