Class information for:
Level 1: BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9297 1169 20.0 35%


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
2653 2             BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3465
9297 1                   BASIC HYPERGEOMETRIC SERIES//ABELS LEMMA ON SUMMATION BY PARTS//Q SERIES 1169

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 BASIC HYPERGEOMETRIC SERIES authKW 905171 6% 47% 74
2 ABELS LEMMA ON SUMMATION BY PARTS authKW 402979 2% 86% 18
3 Q SERIES authKW 372612 5% 26% 55
4 Q BESSEL FUNCTIONS authKW 351918 1% 84% 16
5 ELLIPTIC HYPERGEOMETRIC SERIES authKW 293835 1% 75% 15
6 Q BETA INTEGRALS authKW 263368 1% 92% 11
7 ANDREWS ASKEY INTEGRAL authKW 261193 1% 100% 10
8 ASKEY WILSON INTEGRAL authKW 237447 1% 91% 10
9 Q EXPONENTIAL OPERATOR authKW 235074 1% 100% 9
10 STIELTJES WIGERT POLYNOMIALS authKW 235068 1% 75% 12

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 29774 68% 0% 798
2 Mathematics, Applied 11576 40% 0% 464
3 Physics, Mathematical 1385 10% 0% 119
4 Statistics & Probability 26 2% 0% 20
5 Physics, Multidisciplinary 11 3% 0% 38
6 Physics, Nuclear 0 1% 0% 11
7 Physics, Particles & Fields -0 1% 0% 12
8 Computer Science, Theory & Methods -0 1% 0% 7
9 Multidisciplinary Sciences -0 0% 0% 2
10 Operations Research & Management Science -4 0% 0% 1

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 AFD TOEGEPASTE WISKUNDIGE ANAL 78358 0% 100% 3
2 SCI TECHNOL FUTURE LIFE 78346 1% 33% 9
3 TWA 52239 0% 100% 2
4 COMBINATORIAL MATH 49154 1% 24% 8
5 ELEKTROTECH WISKUNDE INFORMAT 34824 0% 67% 2
6 KDV WISKUNDE 34824 0% 67% 2
7 AFDELING TOEGEPATE WISKUNGIGE ANAL 26119 0% 100% 1
8 ELE OTECH WISKUNDE INFORMAT 26119 0% 100% 1
9 EWI TWA 26119 0% 100% 1
10 INFORMATIETECHNOL SYST 26119 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 RAMANUJAN JOURNAL 68471 4% 5% 52
2 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 36703 6% 2% 72
3 CONSTRUCTIVE APPROXIMATION 15089 2% 2% 24
4 ADVANCES IN APPLIED MATHEMATICS 14215 2% 2% 28
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 11364 8% 0% 96
6 ADVANCES IN MATHEMATICS 7597 3% 1% 37
7 JOURNAL OF COMBINATORIAL THEORY SERIES A 6201 2% 1% 28
8 CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES 5980 2% 1% 23
9 JOURNAL OF APPROXIMATION THEORY 5129 2% 1% 26
10 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 4619 2% 1% 23

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 BASIC HYPERGEOMETRIC SERIES 905171 6% 47% 74 Search BASIC+HYPERGEOMETRIC+SERIES Search BASIC+HYPERGEOMETRIC+SERIES
2 ABELS LEMMA ON SUMMATION BY PARTS 402979 2% 86% 18 Search ABELS+LEMMA+ON+SUMMATION+BY+PARTS Search ABELS+LEMMA+ON+SUMMATION+BY+PARTS
3 Q SERIES 372612 5% 26% 55 Search Q+SERIES Search Q+SERIES
4 Q BESSEL FUNCTIONS 351918 1% 84% 16 Search Q+BESSEL+FUNCTIONS Search Q+BESSEL+FUNCTIONS
5 ELLIPTIC HYPERGEOMETRIC SERIES 293835 1% 75% 15 Search ELLIPTIC+HYPERGEOMETRIC+SERIES Search ELLIPTIC+HYPERGEOMETRIC+SERIES
6 Q BETA INTEGRALS 263368 1% 92% 11 Search Q+BETA+INTEGRALS Search Q+BETA+INTEGRALS
7 ANDREWS ASKEY INTEGRAL 261193 1% 100% 10 Search ANDREWS+ASKEY+INTEGRAL Search ANDREWS+ASKEY+INTEGRAL
8 ASKEY WILSON INTEGRAL 237447 1% 91% 10 Search ASKEY+WILSON+INTEGRAL Search ASKEY+WILSON+INTEGRAL
9 Q EXPONENTIAL OPERATOR 235074 1% 100% 9 Search Q+EXPONENTIAL+OPERATOR Search Q+EXPONENTIAL+OPERATOR
10 STIELTJES WIGERT POLYNOMIALS 235068 1% 75% 12 Search STIELTJES+WIGERT+POLYNOMIALS Search STIELTJES+WIGERT+POLYNOMIALS

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 ITO, M , FORRESTER, PJ , (2015) THE Q-DIXON-ANDERSON INTEGRAL AND MULTI-DIMENSIONAL (1)PSI(1) SUMMATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 423. ISSUE 2. P. 1704 -1737 35 97% 0
2 ITO, M , FORRESTER, PJ , (2017) A BILATERAL EXTENSION OF THE Q-SELBERG INTEGRAL.TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 369. ISSUE 4. P. 2843 -2878 29 100% 0
3 CAO, J , NIU, DW , (2016) A NOTE ON Q-DIFFERENCE EQUATIONS FOR CIGLER'S POLYNOMIALS.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 22. ISSUE 12. P. 1880 -1892 21 95% 0
4 FORRESTER, PJ , WARNAAR, SO , (2008) THE IMPORTANCE OF THE SELBERG INTEGRAL.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 45. ISSUE 4. P. 489 -534 41 49% 73
5 FANG, JP , (2015) REMARKS ON A GENERALIZED Q-DIFFERENCE EQUATION.JOURNAL OF DIFFERENCE EQUATIONS AND APPLICATIONS. VOL. 21. ISSUE 10. P. 934 -953 20 95% 1
6 CAO, J , (2014) A NOTE ON MOMENT INTEGRALS AND SOME APPLICATIONS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 410. ISSUE 1. P. 348-360 20 95% 2
7 FORRESTER, PJ , ITO, M , (2014) RAMANUJAN'S 1 PSI 1 SUMMATION THEOREM-PERSPECTIVE, ANNOUNCEMENT OF BILATERAL Q-DIXON ANDERSONAND Q-SELBERG INTEGRAL EXTENSIONS, AND CONTEXT.PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES. VOL. 90. ISSUE 7. P. 92 -97 20 95% 0
8 SPIRIDONOV, VP , (2008) ESSAYS ON THE THEORY OF ELLIPTIC HYPERGEOMETRIC FUNCTIONS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 63. ISSUE 3. P. 405-472 37 54% 38
9 CAO, J , (2016) HOMOGENEOUS -DIFFERENCE EQUATIONS AND GENERATING FUNCTIONS FOR -HYPERGEOMETRIC POLYNOMIALS.RAMANUJAN JOURNAL. VOL. 40. ISSUE 1. P. 177 -192 20 91% 0
10 SPIRIDONOV, VP , WARNAAR, SO , (2011) NEW MULTIPLE (6)PSI(6) SUMMATION FORMULAS AND RELATED CONJECTURES.RAMANUJAN JOURNAL. VOL. 25. ISSUE 3. P. 319-342 20 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 29075 WIGNER N J SYMBOLS//GENERAL RECOUPLING COEFFICIENT//YUTSIS GRAPH
2 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
3 6714 OVERPARTITIONS//PARTITIONS//ROGERS RAMANUJAN IDENTITIES
4 16175 ALTERNATING SIGN MATRICES//PLANE PARTITIONS//AZTEC DIAMOND
5 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
6 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
7 7969 CALOGERO SUTHERLAND MODEL//CALOGERO MOSER SYSTEM//HALDANE SHASTRY SPIN CHAIN
8 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
9 30279 WHITTAKER FUNCTIONS//WHITTAKER MODELS//GENERALIZED WHITTAKER MODEL
10 10455 DISTANCE REGULAR GRAPH//LEONARD PAIR//TRIDIAGONAL PAIR

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