Class information for:
Level 1: TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES

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
20472 1                   TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES 482

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 TURAN TYPE INEQUALITIES authKW 1679691 7% 76% 34
2 INTERLACING OF ZEROS authKW 789307 3% 93% 13
3 MATHIEU SERIES authKW 724280 2% 92% 12
4 ZEROS authKW 577095 13% 14% 64
5 BESSEL FUNCTION OF THE FIRST KIND authKW 348723 2% 67% 8
6 KAPTEYN SERIES authKW 348723 2% 67% 8
7 ALTERNATING MATHIEU SERIES authKW 326933 1% 100% 5
8 GENERALIZED MATHIEU SERIES authKW 326933 1% 100% 5
9 DIRICHLET ETA FUNCTION authKW 261546 1% 100% 4
10 ZEROS OF HYPERGEOMETRIC POLYNOMIALS authKW 261546 1% 100% 4

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics, Applied 12384 63% 0% 304
2 Mathematics 7822 55% 0% 265
3 Physics, Mathematical 151 6% 0% 27
4 Computer Science, Interdisciplinary Applications 9 2% 0% 9
5 Statistics & Probability 6 1% 0% 7
6 Mathematics, Interdisciplinary Applications 3 1% 0% 5
7 Physics, Multidisciplinary 1 2% 0% 12
8 Education, Scientific Disciplines 1 0% 0% 2
9 Computer Science, Software Engineering 0 1% 0% 3
10 Engineering, General 0 1% 0% 3

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MARITIME STUDIES 223949 8% 9% 40
2 CHENNAI SOC ELECT TRANSACT SECUR 130773 0% 100% 2
3 SOC ELECT TRANSACT SECUR 80470 1% 31% 4
4 ALKALMAZOTT MATEMAT INTEZET 65387 0% 100% 1
5 BUSINESS INFORMAT MATH MODELS ECON 65387 0% 100% 1
6 FRE 2222UFR MATH PURE PL 65387 0% 100% 1
7 INVEST COMPLEX SYST 65387 0% 100% 1
8 LEHR 4 65387 0% 100% 1
9 MATEMAT ESTATISTICA COMPUTACAO CIENT 65387 0% 100% 1
10 MATEMATICA LICADA 2 65387 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 JOURNAL OF APPROXIMATION THEORY 36680 9% 1% 44
2 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 29217 5% 2% 24
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 14459 10% 0% 48
4 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 6215 4% 1% 19
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5857 9% 0% 44
6 NUMERICAL ALGORITHMS 3467 2% 1% 10
7 ANALYSIS AND APPLICATIONS 2939 1% 1% 4
8 MATHEMATICAL INEQUALITIES & APPLICATIONS 2886 2% 1% 8
9 COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS 2721 2% 0% 9
10 CONSTRUCTIVE APPROXIMATION 2294 1% 1% 6

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 TURAN TYPE INEQUALITIES 1679691 7% 76% 34 Search TURAN+TYPE+INEQUALITIES Search TURAN+TYPE+INEQUALITIES
2 INTERLACING OF ZEROS 789307 3% 93% 13 Search INTERLACING+OF+ZEROS Search INTERLACING+OF+ZEROS
3 MATHIEU SERIES 724280 2% 92% 12 Search MATHIEU+SERIES Search MATHIEU+SERIES
4 ZEROS 577095 13% 14% 64 Search ZEROS Search ZEROS
5 BESSEL FUNCTION OF THE FIRST KIND 348723 2% 67% 8 Search BESSEL+FUNCTION+OF+THE+FIRST+KIND Search BESSEL+FUNCTION+OF+THE+FIRST+KIND
6 KAPTEYN SERIES 348723 2% 67% 8 Search KAPTEYN+SERIES Search KAPTEYN+SERIES
7 ALTERNATING MATHIEU SERIES 326933 1% 100% 5 Search ALTERNATING+MATHIEU+SERIES Search ALTERNATING+MATHIEU+SERIES
8 GENERALIZED MATHIEU SERIES 326933 1% 100% 5 Search GENERALIZED+MATHIEU+SERIES Search GENERALIZED+MATHIEU+SERIES
9 DIRICHLET ETA FUNCTION 261546 1% 100% 4 Search DIRICHLET+ETA+FUNCTION Search DIRICHLET+ETA+FUNCTION
10 ZEROS OF HYPERGEOMETRIC POLYNOMIALS 261546 1% 100% 4 Search ZEROS+OF+HYPERGEOMETRIC+POLYNOMIALS Search ZEROS+OF+HYPERGEOMETRIC+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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 24443 HADAMARD EXPANSIONS//NUMERICAL EVALUATION OF SPECIAL FUNCTIONS//LAPLACE TYPE INTEGRALS
2 9204 SOBOLEV ORTHOGONAL POLYNOMIALS//ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
3 11953 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
4 12356 MULTIPLE ORTHOGONAL POLYNOMIALS//NIKISHIN SYSTEMS//HERMITE PADE APPROXIMANTS
5 33469 RIEMANN ZETA AND RELATED FUNCTIONS//BESSEL AND GENERALIZED HYPERGEOMETRIC FUNCTIONS//KOSHLIAKOV
6 18656 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
7 33483 INTERSECTION PERCENTAGE FUNCTION//DISINTEGRATION OF LEBESGUE MEASURE//GEOMETRIC MEASURE REPRESENTATION
8 11677 LOGARITHMIC MEAN//POWER MEAN//SEIFFERT MEAN
9 12024 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
10 20943 OSCILLATORY INTEGRALS//PL MATH SOFTWARE//FILON TYPE METHOD

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