Class information for:
Level 1: STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16742 638 16.5 28%


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
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
16742 1                   STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION 638

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 STIRLING NUMBERS authKW 465193 8% 20% 48
2 R STIRLING NUMBERS authKW 430738 1% 100% 9
3 EULER DISTRIBUTION authKW 387663 1% 90% 9
4 LEGENDRE STIRLING NUMBERS authKW 387663 1% 90% 9
5 Q BINOMIAL DISTRIBUTION authKW 382878 1% 100% 8
6 UMBRAL CALCULUS authKW 340522 4% 27% 26
7 HEINE DISTRIBUTION authKW 340335 1% 89% 8
8 JACOBI STIRLING NUMBERS authKW 323049 1% 75% 9
9 R WHITNEY NUMBERS authKW 293140 1% 88% 7
10 LEFT DEFINITE SELF ADJOINT OPERATOR authKW 239299 1% 100% 5

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 10981 56% 0% 360
2 Mathematics, Applied 4668 34% 0% 219
3 Statistics & Probability 2962 17% 0% 108
4 Physics, Mathematical 143 5% 0% 31
5 Physics, Multidisciplinary 25 5% 0% 30
6 Computer Science, Software Engineering 10 1% 0% 9
7 Computer Science, Cybernetics 4 0% 0% 2
8 Computer Science, Theory & Methods 1 1% 0% 7
9 Operations Research & Management Science 1 1% 0% 5
10 Computer Science, Interdisciplinary Applications 1 1% 0% 6

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 ICT 143579 0% 100% 3
2 TUTT SCI 95720 0% 100% 2
3 ROME BRANCH 69609 1% 36% 4
4 ANAL MAT MATEMAT 47860 0% 100% 1
5 CIENCIAS FISL 47860 0% 100% 1
6 E CARTAN LORIA 47860 0% 100% 1
7 PD53 47860 0% 100% 1
8 RECITSS 47860 0% 100% 1
9 UNITA TECN SCI TECNOL FIS AVANZATE ENEA 47860 0% 100% 1
10 DG RSDT 15952 0% 33% 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 FIBONACCI QUARTERLY 108907 8% 4% 51
2 STUDIES IN APPLIED MATHEMATICS 15584 3% 2% 19
3 DISCRETE MATHEMATICS 8994 7% 0% 47
4 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 7501 2% 1% 14
5 ADVANCES IN APPLIED MATHEMATICS 7474 2% 1% 15
6 EUROPEAN JOURNAL OF COMBINATORICS 6206 3% 1% 20
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5198 8% 0% 48
8 ARS COMBINATORIA 4167 3% 0% 18
9 JOURNAL OF STATISTICAL PLANNING AND INFERENCE 4118 4% 0% 23
10 JOURNAL OF COMBINATORIAL THEORY SERIES A 3712 3% 0% 16

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 STIRLING NUMBERS 465193 8% 20% 48 Search STIRLING+NUMBERS Search STIRLING+NUMBERS
2 R STIRLING NUMBERS 430738 1% 100% 9 Search R+STIRLING+NUMBERS Search R+STIRLING+NUMBERS
3 EULER DISTRIBUTION 387663 1% 90% 9 Search EULER+DISTRIBUTION Search EULER+DISTRIBUTION
4 LEGENDRE STIRLING NUMBERS 387663 1% 90% 9 Search LEGENDRE+STIRLING+NUMBERS Search LEGENDRE+STIRLING+NUMBERS
5 Q BINOMIAL DISTRIBUTION 382878 1% 100% 8 Search Q+BINOMIAL+DISTRIBUTION Search Q+BINOMIAL+DISTRIBUTION
6 UMBRAL CALCULUS 340522 4% 27% 26 Search UMBRAL+CALCULUS Search UMBRAL+CALCULUS
7 HEINE DISTRIBUTION 340335 1% 89% 8 Search HEINE+DISTRIBUTION Search HEINE+DISTRIBUTION
8 JACOBI STIRLING NUMBERS 323049 1% 75% 9 Search JACOBI+STIRLING+NUMBERS Search JACOBI+STIRLING+NUMBERS
9 R WHITNEY NUMBERS 293140 1% 88% 7 Search R+WHITNEY+NUMBERS Search R+WHITNEY+NUMBERS
10 LEFT DEFINITE SELF ADJOINT OPERATOR 239299 1% 100% 5 Search LEFT+DEFINITE+SELF+ADJOINT+OPERATOR Search LEFT+DEFINITE+SELF+ADJOINT+OPERATOR

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 DI BUCCHIANICO, A , LOEB, D , (2000) A SELECTED SURVEY OF UMBRAL CALCULUS.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. . ISSUE . P. - 105 67% 5
2 MERCA, M , (2016) NEW CONVOLUTIONS FOR COMPLETE AND ELEMENTARY SYMMETRIC FUNCTIONS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 12. P. 965 -973 23 92% 0
3 MERCA, M , (2016) ASYMPTOTICS OF THE CHEBYSHEV-STIRLING NUMBERS OF THE FIRST KIND.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 4. P. 259 -267 16 89% 0
4 CORCINO, CB , CORCINO, RB , GASPARIN, RJ , (2015) EQUIVALENT ASYMPTOTIC FORMULAS OF SECOND KIND R-WHITNEY NUMBERS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 26. ISSUE 3. P. 192 -202 14 93% 2
5 XU, AM , ZHOU, TH , (2016) SOME IDENTITIES RELATED TO THE R-WHITNEY NUMBERS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 11. P. 920 -929 13 100% 0
6 GAWRONSKI, W , LITTLEJOHN, LL , NEUSCHEL, T , (2015) ON THE ASYMPTOTIC NORMALITY OF THE LEGENDRE-STIRLING NUMBERS OF THE SECOND KIND.EUROPEAN JOURNAL OF COMBINATORICS. VOL. 49. ISSUE . P. 218 -231 13 93% 3
7 GAWRONSKI, W , LITTLEJOHN, LL , NEUSCHEL, T , (2014) ASYMPTOTICS OF STIRLING AND CHEBYSHEV-STIRLING NUMBERS OF THE SECOND KIND.STUDIES IN APPLIED MATHEMATICS. VOL. 133. ISSUE 1. P. 1 -17 13 93% 4
8 KARGIN, L , CORCINO, RB , (2016) GENERALIZATION OF MELLIN DERIVATIVE AND ITS APPLICATIONS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 27. ISSUE 8. P. 620 -631 11 100% 0
9 CORCINO, RB , CORCINO, CB , (2011) ON THE MAXIMUM OF GENERALIZED STIRLING NUMBERS.UTILITAS MATHEMATICA. VOL. 86. ISSUE . P. 241-256 12 100% 3
10 MERCA, M , (2013) A NOTE ON THE R-WHITNEY NUMBERS OF DOWLING LATTICES.COMPTES RENDUS MATHEMATIQUE. VOL. 351. ISSUE 17-18. P. 649-655 12 92% 6

Classes with closest relation at Level 1


Rank Class id link
1 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
2 9879 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
3 23174 PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX
4 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
5 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
6 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
7 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
8 31022 MACRO SCALE QUANTUM EFFECTS//CURL FREE VECTOR POTENTIAL//LADDER THEORY
9 21141 RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS
10 13917 FREE PROBABILITY//FREE CONVOLUTION//FREE ENTROPY

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