Class information for:
Level 2: BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2653 3465 18.2 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
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
20173 1                   OFF OUTER SPACE AFFAIRS//H FUNCTION//GENERALIZED WRIGHT FUNCTION 473
20219 1                   MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION 471
23214 1                   LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS 354
23811 1                   OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS 334
29075 1                   WIGNER N J SYMBOLS//GENERAL RECOUPLING COEFFICIENT//YUTSIS GRAPH 193
29485 1                   MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE 185
31022 1                   MACRO SCALE QUANTUM EFFECTS//CURL FREE VECTOR POTENTIAL//LADDER THEORY 159
33250 1                   ELLIPTIC TYPE INTEGRALS//RECTANGULAR SOURCE//RADIATION FIELD INTEGRALS 127

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 356808 2% 51% 80
2 OPERATIONAL METHODS authKW 176612 1% 95% 21
3 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS journal 176248 5% 13% 158
4 KAMPE DE FERIET FUNCTION authKW 172072 1% 78% 25
5 MONOMIALITY PRINCIPLE authKW 157931 1% 81% 22
6 MATRIX ORTHOGONAL POLYNOMIALS authKW 155413 1% 84% 21
7 GENERATING RELATIONS authKW 153223 1% 87% 20
8 ABELS LEMMA ON SUMMATION BY PARTS authKW 135931 1% 86% 18
9 MATRIX VALUED ORTHOGONAL POLYNOMIALS authKW 129750 1% 82% 18
10 Q SERIES authKW 125637 2% 26% 55

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 45645 50% 0% 1718
2 Mathematics, Applied 36451 41% 0% 1416
3 Physics, Mathematical 6846 13% 0% 448
4 Statistics & Probability 453 3% 0% 115
5 Physics, Multidisciplinary 323 6% 0% 214
6 Computer Science, Interdisciplinary Applications 133 2% 0% 81
7 Nuclear Science & Technology 123 3% 0% 88
8 Physics, Particles & Fields 83 3% 0% 90
9 Multidisciplinary Sciences 72 1% 0% 36
10 Mathematics, Interdisciplinary Applications 54 1% 0% 48

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 OFF OUTER SPACE AFFAIRS 123759 1% 59% 24
2 GRP FIS TEOR MATEMAT PLICATA 79296 0% 100% 9
3 UNITA TECN SCI TECNOL FIS AVANZATE 77556 1% 46% 19
4 RIC FRASCATI 54820 1% 14% 45
5 CIEM FAMAF 50102 0% 36% 16
6 FIS PLICATA 45188 1% 19% 27
7 OUTER SPACE OFF 35243 0% 100% 4
8 COMBINATORIAL MATH 31341 0% 32% 11
9 INVEST MATEMAT LICADA 30830 0% 50% 7
10 DIPARTIMENTO INNOVAZ 29625 1% 16% 21

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 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 176248 5% 13% 158
2 RAMANUJAN JOURNAL 33833 2% 6% 63
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 17199 6% 1% 204
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 16753 2% 2% 84
5 INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS 13222 2% 2% 67
6 CONSTRUCTIVE APPROXIMATION 10181 1% 3% 34
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9804 3% 1% 107
8 APPLIED MATHEMATICS AND COMPUTATION 9250 4% 1% 137
9 JOURNAL OF MATHEMATICAL PHYSICS 6403 3% 1% 109
10 ADVANCES IN APPLIED MATHEMATICS 5840 1% 2% 31

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 356808 2% 51% 80 Search BASIC+HYPERGEOMETRIC+SERIES Search BASIC+HYPERGEOMETRIC+SERIES
2 OPERATIONAL METHODS 176612 1% 95% 21 Search OPERATIONAL+METHODS Search OPERATIONAL+METHODS
3 KAMPE DE FERIET FUNCTION 172072 1% 78% 25 Search KAMPE+DE+FERIET+FUNCTION Search KAMPE+DE+FERIET+FUNCTION
4 MONOMIALITY PRINCIPLE 157931 1% 81% 22 Search MONOMIALITY+PRINCIPLE Search MONOMIALITY+PRINCIPLE
5 MATRIX ORTHOGONAL POLYNOMIALS 155413 1% 84% 21 Search MATRIX+ORTHOGONAL+POLYNOMIALS Search MATRIX+ORTHOGONAL+POLYNOMIALS
6 GENERATING RELATIONS 153223 1% 87% 20 Search GENERATING+RELATIONS Search GENERATING+RELATIONS
7 ABELS LEMMA ON SUMMATION BY PARTS 135931 1% 86% 18 Search ABELS+LEMMA+ON+SUMMATION+BY+PARTS Search ABELS+LEMMA+ON+SUMMATION+BY+PARTS
8 MATRIX VALUED ORTHOGONAL POLYNOMIALS 129750 1% 82% 18 Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS Search MATRIX+VALUED+ORTHOGONAL+POLYNOMIALS
9 Q SERIES 125637 2% 26% 55 Search Q+SERIES Search Q+SERIES
10 Q BESSEL FUNCTIONS 118707 0% 84% 16 Search Q+BESSEL+FUNCTIONS Search Q+BESSEL+FUNCTIONS

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 ZHUKOVSKY, KV , (2017) OPERATIONAL SOLUTION FOR SOME TYPES OF SECOND ORDER DIFFERENTIAL EQUATIONS AND FOR RELEVANT PHYSICAL PROBLEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 446. ISSUE 1. P. 628 -647 20 95% 1
3 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
4 PACHARONI, I , ZURRIAN, I , (2016) MATRIX GEGENBAUER POLYNOMIALS: THE FUNDAMENTAL CASES.CONSTRUCTIVE APPROXIMATION. VOL. 43. ISSUE 2. P. 253 -271 20 100% 1
5 MURLEY, J , SAAD, N , (2011) CALCULATION OF GENERALIZED HUBBELL RECTANGULAR SOURCE INTEGRAL.APPLIED RADIATION AND ISOTOPES. VOL. 69. ISSUE 1. P. 90-93 24 100% 2
6 TIMUS, DM , SRIVASTAVA, HM , SCARLAT, FF , (2005) PLANE RECTANGULAR TRITIUM TARGET RESPONSE TO EXCITATION BY UNIFORM DISTRIBUTED NORMAL ACCELERATED DEUTERON BEAM.APPLIED RADIATION AND ISOTOPES. VOL. 63. ISSUE 5-6. P. 823-839 31 89% 6
7 YAKHLEF, HO , MARCELLAN, F , (2016) RELATIVE ASYMPTOTICS OF MATRIX ORTHOGONAL POLYNOMIALS FOR UVAROV PERTURBATIONS: THE DEGENERATE CASE.MEDITERRANEAN JOURNAL OF MATHEMATICS. VOL. 13. ISSUE 5. P. 3135 -3153 21 95% 0
8 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
9 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
10 DURAN, AJ , GRUNBAUM, FA , (2005) A SURVEY ON ORTHOGONAL MATRIX POLYNOMIALS SATISFYING SECOND ORDER DIFFERENTIAL EQUATIONS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 178. ISSUE 1-2. P. 169-190 25 100% 18

Classes with closest relation at Level 2


Rank Class id link
1 1244 FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS
2 1193 ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS
3 1909 MODULAR FORMS//RAMANUJAN JOURNAL//THETA FUNCTIONS
4 1097 PHYSICS, MATHEMATICAL//JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL//BETHE ANSATZ
5 2388 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//RANDOM MATRIX
6 3975 LAPLACE TRANSFORM INVERSION//FRACTIONAL MOMENTS//MOMENT PROBLEM
7 1797 MATHEMATICS//DUNKL TRANSFORM//DUNKL OPERATORS
8 935 FRACTIONAL DIFFERENTIAL EQUATIONS//FRACTIONAL CALCULUS//FRACTIONAL DERIVATIVE
9 3334 NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS
10 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS

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