Class information for:
Level 2: FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
1244 8992 16.1 36%


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
4331 1                   RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX 1803
9879 1                   GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS 1112
11002 1                   BINARY SEARCH TREE//CONTRACTION METHOD//RANDOM TREES 1016
12370 1                   MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS 911
14579 1                   SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS 762
14631 1                   FIBONACCI QUARTERLY//FIBONACCI NUMBERS//LUCAS NUMBERS 759
16742 1                   STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION 638
21141 1                   RANDOM MAPPINGS//ADDITIVE ARITHMETIC SEMIGROUP//CYCLE WEIGHTS 431
21228 1                   SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS 428
21874 1                   ENUMERATING FUNCTION//LAGRANGIAN INVERSION//ROOTED MAP 402
23174 1                   PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX 356
25558 1                   WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY 278
35505 1                   STATISTICAL INTERDEPENDENCY//EVENT ASSOCIATION//ASYMPTOTIC OPTIMAL CLASSIFICATION 96

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 FIBONACCI QUARTERLY journal 1002621 6% 51% 581
2 MULTIPLE ZETA VALUES authKW 353359 1% 88% 119
3 BERNOULLI NUMBERS authKW 331796 2% 57% 173
4 BERNOULLI POLYNOMIALS authKW 290009 2% 54% 158
5 STIRLING NUMBERS authKW 260870 2% 57% 135
6 EULER POLYNOMIALS authKW 239339 1% 77% 92
7 GENERATING FUNCTION authKW 232932 3% 23% 303
8 MATHEMATICS WoSSC 218110 67% 1% 5994
9 GEN EDUC MATH address 193529 1% 63% 90
10 HURWITZ ZETA FUNCTION authKW 192251 1% 56% 101

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 218110 67% 1% 5994
2 Mathematics, Applied 70571 35% 1% 3192
3 Computer Science, Theory & Methods 6642 8% 0% 726
4 Statistics & Probability 6213 7% 0% 619
5 Computer Science, Software Engineering 2391 4% 0% 381
6 Physics, Mathematical 386 3% 0% 229
7 Computer Science, Information Systems 236 2% 0% 176
8 Logic 119 0% 0% 27
9 Mathematics, Interdisciplinary Applications 20 1% 0% 75
10 Computer Science, Hardware & Architecture 7 0% 0% 42

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 GEN EDUC MATH 193529 1% 63% 90
2 COMBINATOR 84658 1% 19% 134
3 JOHN KNOPFMACHER PLICABLE ANAL NUMBER THE 79992 1% 47% 50
4 MATH 79099 35% 1% 3171
5 LPMC TJKLC 57952 1% 21% 80
6 DISKRETE MATH GEOMETRIE 43018 1% 27% 47
7 HANRIMWON 40727 0% 100% 12
8 SYMBOL COMPUTAT 37135 0% 27% 40
9 ALGORITHMS PROJECT 30393 0% 41% 22
10 CHONGQING HIGHER EDUC MEGA 26061 0% 59% 13

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 1002621 6% 51% 581
2 ELECTRONIC JOURNAL OF COMBINATORICS 153545 4% 14% 336
3 ADVANCES IN APPLIED MATHEMATICS 133571 3% 17% 238
4 JOURNAL OF COMBINATORIAL THEORY SERIES A 104286 4% 10% 318
5 DISCRETE MATHEMATICS 99066 7% 5% 586
6 EUROPEAN JOURNAL OF COMBINATORICS 67649 3% 8% 248
7 JOURNAL OF NUMBER THEORY 62039 3% 6% 294
8 RAMANUJAN JOURNAL 54607 1% 13% 129
9 RANDOM STRUCTURES & ALGORITHMS 52628 2% 12% 135
10 JOURNAL OF COMPUTATIONAL ANALYSIS AND APPLICATIONS 49055 2% 10% 147

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 MULTIPLE ZETA VALUES 353359 1% 88% 119 Search MULTIPLE+ZETA+VALUES Search MULTIPLE+ZETA+VALUES
2 BERNOULLI NUMBERS 331796 2% 57% 173 Search BERNOULLI+NUMBERS Search BERNOULLI+NUMBERS
3 BERNOULLI POLYNOMIALS 290009 2% 54% 158 Search BERNOULLI+POLYNOMIALS Search BERNOULLI+POLYNOMIALS
4 STIRLING NUMBERS 260870 2% 57% 135 Search STIRLING+NUMBERS Search STIRLING+NUMBERS
5 EULER POLYNOMIALS 239339 1% 77% 92 Search EULER+POLYNOMIALS Search EULER+POLYNOMIALS
6 GENERATING FUNCTION 232932 3% 23% 303 Search GENERATING+FUNCTION Search GENERATING+FUNCTION
7 HURWITZ ZETA FUNCTION 192251 1% 56% 101 Search HURWITZ+ZETA+FUNCTION Search HURWITZ+ZETA+FUNCTION
8 UMBRAL CALCULUS 190345 1% 77% 73 Search UMBRAL+CALCULUS Search UMBRAL+CALCULUS
9 HARMONIC NUMBERS 175550 1% 71% 73 Search HARMONIC+NUMBERS Search HARMONIC+NUMBERS
10 EULER NUMBERS 162883 1% 80% 60 Search EULER+NUMBERS Search EULER+NUMBERS

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. - 133 85% 5
2 SRIVASTAVA, HM , (2011) SOME GENERALIZATIONS AND BASIC (OR Q-) EXTENSIONS OF THE BERNOULLI, EULER AND GENOCCHI POLYNOMIALS.APPLIED MATHEMATICS & INFORMATION SCIENCES. VOL. 5. ISSUE 3. P. 390 -444 48 94% 61
3 HE, Y , (2016) A NEW FORMULA OF PRODUCTS OF THE APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE 4. P. 1307 -1318 42 98% 0
4 PARK, G , HWANG, HK , NICODEME, P , SZPANKOWSKI, W , (2009) PROFILES OF TRIES.SIAM JOURNAL ON COMPUTING. VOL. 38. ISSUE 5. P. 1821-1880 50 94% 8
5 PARK, G , HWANG, HK , NICODEME, P , SZPANKOWSKI, W , (2008) PROFILES OF TRIES.SIAM JOURNAL ON COMPUTING. VOL. 38. ISSUE 5. P. 1821 -1880 48 94% 8
6 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 57 75% 6
7 WANG, WP , JIA, CZ , (2014) HARMONIC NUMBER IDENTITIES VIA THE NEWTON-ANDREWS METHOD.RAMANUJAN JOURNAL. VOL. 35. ISSUE 2. P. 263 -285 36 100% 8
8 DERE, R , SIMSEK, Y , SRIVASTAVA, HM , (2013) A UNIFIED PRESENTATION OF THREE FAMILIES OF GENERALIZED APOSTOL TYPE POLYNOMIALS BASED UPON THE THEORY OF THE UMBRAL CALCULUS AND THE UMBRAL ALGEBRA.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 10. P. 3245-3263 39 89% 11
9 HE, Y , ARACI, S , SRIVASTAVA, HM , ACIKGOZ, M , (2015) SOME NEW IDENTITIES FOR THE APOSTOL-BERNOULLI POLYNOMIALS AND THE APOSTOL-GENOCCHI POLYNOMIALS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 262. ISSUE . P. 31 -41 33 97% 2
10 HWANG, HK , FUCHS, M , ZACHAROVAS, V , (2010) ASYMPTOTIC VARIANCE OF RANDOM SYMMETRIC DIGITAL SEARCH TREES.DISCRETE MATHEMATICS AND THEORETICAL COMPUTER SCIENCE. VOL. 12. ISSUE 2. P. 103 -165 38 95% 2

Classes with closest relation at Level 2


Rank Class id link
1 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
2 3266 MAHLER MEASURE//KAC RICE FORMULA//RANDOM ALGEBRAIC POLYNOMIALS
3 3504 DE BRUIJN SEQUENCE//GRAY CODE//UNIVERSAL CYCLES
4 2388 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX
5 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS
6 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
7 2651 STEINS METHOD//ZERO INFLATION//POISSON APPROXIMATION
8 1441 GRAPH DRAWING//DISCRETE & COMPUTATIONAL GEOMETRY//CROSSING NUMBER
9 3958 COMPUTER APPLICATIONS IN THE BIOSCIENCES//ADAPTIVE WEIGHTED LEAST SQUARES//AMBIGRAM
10 1206 ACTA ARITHMETICA//JOURNAL OF NUMBER THEORY//MATHEMATICS

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