Class information for:
Level 1: RIEMANN ZETA AND RELATED FUNCTIONS//BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS//KOSHLIAKOV

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
2166 2             GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//JOURNAL OF MATHEMATICAL INEQUALITIES 5291
33469 1                   RIEMANN ZETA AND RELATED FUNCTIONS//BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS//KOSHLIAKOV 138

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 RIEMANN ZETA AND RELATED FUNCTIONS authKW 685152 2% 100% 3
2 BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS authKW 456768 1% 100% 2
3 KOSHLIAKOV authKW 456768 1% 100% 2
4 WEBER SCHAFHEITLIN INTEGRAL AND ITS GENERALIZATIONS authKW 456768 1% 100% 2
5 SCHLOMILCH SERIES authKW 411089 2% 60% 3
6 POISSONS FORMULA authKW 304511 1% 67% 2
7 RIEMANN XI FUNCTION authKW 285473 4% 25% 5
8 BLOCH LAW authKW 256928 2% 38% 3
9 65B10 authKW 228384 1% 100% 1
10 ASYMPTOTIC FORMULAS OF RAMANUJAN authKW 228384 1% 100% 1

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 1062 38% 0% 53
2 Mathematics, Applied 707 29% 0% 40
3 Physics, Condensed Matter 113 17% 0% 23
4 Physics, Mathematical 61 7% 0% 9
5 Statistics & Probability 34 4% 0% 6
6 Physics, Multidisciplinary 26 8% 0% 11
7 Materials Science, Multidisciplinary 18 12% 0% 16
8 Education & Educational Research 14 3% 0% 4
9 Psychology, Mathematical 12 1% 0% 1
10 Engineering, Ocean 9 1% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 DIDADACT ANDRE REVUZ 228384 1% 100% 1
2 PRIOR COMP ASSISTED MATH ITS PLIC 228384 1% 100% 1
3 BIMRC 76127 1% 33% 1
4 ELECT COMPONENTS MAT 76127 1% 33% 1
5 NIPNE 76127 1% 33% 1
6 REG SUPER MAT 57095 1% 25% 1
7 DIDACT ANDRE REVUZ 38062 1% 17% 1
8 SIMIAN STOILOW MATH 25374 1% 11% 1
9 UNIT SALERNO 13432 1% 6% 1
10 EXPT CONSTRUCT MATH 13236 1% 3% 2

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 14356 7% 1% 9
2 RAMANUJAN JOURNAL 7665 4% 1% 6
3 EDUCATIONAL STUDIES IN MATHEMATICS 7115 3% 1% 4
4 AMERICAN MATHEMATICAL MONTHLY 5268 6% 0% 8
5 ROMANIAN REPORTS IN PHYSICS 3260 3% 0% 4
6 STATISTICAL PAPERS 1920 2% 0% 3
7 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 1769 7% 0% 9
8 JOURNAL OF THE AUSTRALIAN MATHEMATICAL SOCIETY SERIES B-APPLIED MATHEMATICS 1474 1% 0% 2
9 INTERNATIONAL JOURNAL OF NANOTECHNOLOGY 977 1% 0% 2
10 IMA JOURNAL OF MANAGEMENT MATHEMATICS 919 1% 0% 1

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 RIEMANN ZETA AND RELATED FUNCTIONS 685152 2% 100% 3 Search RIEMANN+ZETA+AND+RELATED+FUNCTIONS Search RIEMANN+ZETA+AND+RELATED+FUNCTIONS
2 BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS 456768 1% 100% 2 Search BESSEL+AND+GENERALIZED+HYPERGEOMETRIC+FUNCTIONS Search BESSEL+AND+GENERALIZED+HYPERGEOMETRIC+FUNCTIONS
3 KOSHLIAKOV 456768 1% 100% 2 Search KOSHLIAKOV Search KOSHLIAKOV
4 WEBER SCHAFHEITLIN INTEGRAL AND ITS GENERALIZATIONS 456768 1% 100% 2 Search WEBER+SCHAFHEITLIN+INTEGRAL+AND+ITS+GENERALIZATIONS Search WEBER+SCHAFHEITLIN+INTEGRAL+AND+ITS+GENERALIZATIONS
5 SCHLOMILCH SERIES 411089 2% 60% 3 Search SCHLOMILCH+SERIES Search SCHLOMILCH+SERIES
6 POISSONS FORMULA 304511 1% 67% 2 Search POISSONS+FORMULA Search POISSONS+FORMULA
7 RIEMANN XI FUNCTION 285473 4% 25% 5 Search RIEMANN+XI+FUNCTION Search RIEMANN+XI+FUNCTION
8 BLOCH LAW 256928 2% 38% 3 Search BLOCH+LAW Search BLOCH+LAW
9 65B10 228384 1% 100% 1 Search 65B10 Search 65B10
10 ASYMPTOTIC FORMULAS OF RAMANUJAN 228384 1% 100% 1 Search ASYMPTOTIC+FORMULAS+OF+RAMANUJAN Search ASYMPTOTIC+FORMULAS+OF+RAMANUJAN

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 37821 INFINITE U HUBBARD MODEL//ORTHOFERMIONS//RIGGED STRING CONFIGURATIONS
2 23681 SHANK TRANSFORMATION//SERIES ACCELERATION//LATTICE SUMS
3 20472 TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES
4 29273 BERKELEYS ONTOLOGY//GAUSSIAN FLUCTUATION APPROXIMATION//GRP FIS SLIDO
5 4714 COMPLEX MAGNETIC SUSCEPTIBILITY//SUPERSPIN GLASS//COMPLEX SUSCEPTIBILITY
6 36647 TRIAL HAMILTONIAN//SELF CONSISTENT EINSTEIN MODEL//VARIATIONAL PRINCIPLE METHOD
7 36829 EXACT SLOPES//ABSOLUTE DISTANCES//ARCH ENCEPHALON
8 29605 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
9 14492 GENERALIZED LEIBNIZ RULE//KAMPE DE FERIET FUNCTION//DIFFERINTEGRAL EQUATIONS
10 16876 APPROXIMATING HAMILTONIAN METHOD//GENERALIZED BOSE EINSTEIN CONDENSATION//BOGOLIUBOV WEAKLY IMPERFECT GAS

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