Class information for:
Level 1: SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
21228 428 16.4 33%


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
21228 1                   SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS 428

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 SYMBOLIC SUMMATION authKW 1155759 4% 90% 18
2 SYMBOL COMPUTAT address 500331 7% 22% 32
3 BOROS MOLL POLYNOMIALS authKW 499404 2% 100% 7
4 HYPERGEOMETRIC TERM authKW 428060 1% 100% 6
5 UNIVERSAL DENOMINATOR authKW 356717 1% 100% 5
6 DIFFERENCE FIELDS authKW 291313 2% 58% 7
7 ZEILBERGERS ALGORITHM authKW 264222 2% 37% 10
8 OMEGA OPERATOR authKW 198172 1% 56% 5
9 JOURNAL OF SYMBOLIC COMPUTATION journal 173337 17% 3% 74
10 HOLONOMIC FUNCTIONS authKW 162139 1% 45% 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, Applied 7166 51% 0% 219
2 Mathematics 4287 43% 0% 186
3 Computer Science, Theory & Methods 3065 24% 0% 101
4 Computer Science, Software Engineering 785 10% 0% 44
5 Statistics & Probability 64 4% 0% 15
6 Computer Science, Interdisciplinary Applications 21 3% 0% 11
7 Logic 3 0% 0% 1
8 Mathematics, Interdisciplinary Applications 2 1% 0% 4
9 Physics, Mathematical 1 1% 0% 5
10 Computer Science, Hardware & Architecture 0 0% 0% 2

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 SYMBOL COMPUTAT 500331 7% 22% 32
2 COMBINATOR 72384 6% 4% 27
3 CNRSUMR 9936 71343 0% 100% 1
4 COMTINATOR 71343 0% 100% 1
5 EDPANO 71343 0% 100% 1
6 EQUIPE SPECFUN 71343 0% 100% 1
7 INFORMAT IGM 71343 0% 100% 1
8 INRIALIPU LYON 71343 0% 100% 1
9 JONN KNOPFMACHER PLICABLE ANAL NR THEORY 71343 0% 100% 1
10 LTSA 71343 0% 100% 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 JOURNAL OF SYMBOLIC COMPUTATION 173337 17% 3% 74
2 PROGRAMMING AND COMPUTER SOFTWARE 131937 9% 5% 39
3 ADVANCES IN APPLIED MATHEMATICS 24020 5% 2% 22
4 ELECTRONIC JOURNAL OF COMBINATORICS 12614 5% 1% 21
5 APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING 11734 2% 2% 10
6 RAMANUJAN JOURNAL 11680 3% 1% 13
7 ANNALS OF COMBINATORICS 7986 2% 2% 7
8 DISCRETE MATHEMATICS 5459 7% 0% 30
9 MAPLETECH 4833 0% 3% 2
10 JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS 2913 2% 1% 8

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 SYMBOLIC SUMMATION 1155759 4% 90% 18 Search SYMBOLIC+SUMMATION Search SYMBOLIC+SUMMATION
2 BOROS MOLL POLYNOMIALS 499404 2% 100% 7 Search BOROS+MOLL+POLYNOMIALS Search BOROS+MOLL+POLYNOMIALS
3 HYPERGEOMETRIC TERM 428060 1% 100% 6 Search HYPERGEOMETRIC+TERM Search HYPERGEOMETRIC+TERM
4 UNIVERSAL DENOMINATOR 356717 1% 100% 5 Search UNIVERSAL+DENOMINATOR Search UNIVERSAL+DENOMINATOR
5 DIFFERENCE FIELDS 291313 2% 58% 7 Search DIFFERENCE+FIELDS Search DIFFERENCE+FIELDS
6 ZEILBERGERS ALGORITHM 264222 2% 37% 10 Search ZEILBERGERS+ALGORITHM Search ZEILBERGERS+ALGORITHM
7 OMEGA OPERATOR 198172 1% 56% 5 Search OMEGA+OPERATOR Search OMEGA+OPERATOR
8 HOLONOMIC FUNCTIONS 162139 1% 45% 5 Search HOLONOMIC+FUNCTIONS Search HOLONOMIC+FUNCTIONS
9 Q HYPERGEOMETRIC IDENTITIES 160521 1% 75% 3 Search Q+HYPERGEOMETRIC+IDENTITIES Search Q+HYPERGEOMETRIC+IDENTITIES
10 WZ METHOD 151072 1% 35% 6 Search WZ+METHOD Search WZ+METHOD

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 SCHNEIDER, C , (2017) SUMMATION THEORY II: CHARACTERIZATIONS OF R PI SIGMA*-EXTENSIONS AND ALGORITHMIC ASPECTS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 80. ISSUE . P. 616 -664 27 73% 0
2 SCHNEIDER, C , (2016) A DIFFERENCE RING THEORY FOR SYMBOLIC SUMMATION.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 72. ISSUE . P. 82 -127 22 79% 2
3 XIA, EXW , (2015) THE CONCAVITY AND CONVEXITY OF THE BOROS-MOLL SEQUENCES.ELECTRONIC JOURNAL OF COMBINATORICS. VOL. 22. ISSUE 1. P. - 15 100% 0
4 HOU, QH , WANG, RH , (2015) AN ALGORITHM FOR DECIDING THE SUMMABILITY OF BIVARIATE RATIONAL FUNCTIONS.ADVANCES IN APPLIED MATHEMATICS. VOL. 64. ISSUE . P. 31 -49 15 94% 1
5 CHEN, SS , CHYZAK, F , FENG, RY , FU, GF , LI, ZM , (2015) ON THE EXISTENCE OF TELESCOPERS FOR MIXED HYPERGEOMETRIC TERMS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 68. ISSUE . P. 1 -26 17 81% 2
6 BOSTAN, A , LAIREZ, P , SALVY, B , (2017) MULTIPLE BINOMIAL SUMS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 80. ISSUE . P. 351 -386 16 80% 0
7 CHEN, WYC , XIA, EXW , (2013) 2-LOG-CONCAVITY OF THE BOROS-MOLL POLYNOMIALS.PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY. VOL. 56. ISSUE 3. P. 701-722 15 88% 1
8 SCHNEIDER, C , (2010) PARAMETERIZED TELESCOPING PROVES ALGEBRAIC INDEPENDENCE OF SUMS.ANNALS OF COMBINATORICS. VOL. 14. ISSUE 4. P. 533-552 14 93% 12
9 ABRAMOV, SA , KHMELNOV, DE , (2013) LINEAR DIFFERENTIAL AND DIFFERENCE SYSTEMS: EG(DELTA)- AND EG(SIGMA)- ELIMINATIONS.PROGRAMMING AND COMPUTER SOFTWARE. VOL. 39. ISSUE 2. P. 91-109 13 93% 3
10 SCHNEIDER, C , (2010) STRUCTURAL THEOREMS FOR SYMBOLIC SUMMATION.APPLICABLE ALGEBRA IN ENGINEERING COMMUNICATION AND COMPUTING. VOL. 21. ISSUE 1. P. 1 -32 18 69% 9

Classes with closest relation at Level 1


Rank Class id link
1 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
2 14579 SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS
3 4331 RIORDAN ARRAYS//PATTERN AVOIDANCE//MAJOR INDEX
4 9297 BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES
5 32867 INTEGRATION IN FINITE TERMS//THEORY OF EQUATIONS//ANTIDERIVATIVE EXTENSIONS
6 17494 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
7 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
8 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
9 25558 WITT BURNSIDE RING//NECKLACE RING//CYCLOTOMIC IDENTITY
10 37240 VALUATION FILTRATION//COMPLETION OF FILTERED MODULE//FILTERED AND GRADED REDUCTORS

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