Class information for:
Level 2: UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS

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
684 3       UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//MEROMORPHIC FUNCTION 8711
2258 2             UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS 4965
4350 1                   ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//UNIVALENT FUNCTIONS 1833
13845 1                   TEICHMULLER SPACE//STREBEL POINT//HAMILTON SEQUENCE 840
14313 1                   HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS 809
17207 1                   STARLIKE MAPPING//BIHOLOMORPHIC MAPPING//LOEWNER CHAIN 638
20493 1                   NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION 481
25131 1                   CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LINDELOF PRINCIPLE 313
38855 1                   SYMMETRY PROBLEMS//FOURIER TRANSFORMS OF CHARACTERISTIC SETS//OVER DETERMINED BOUNDARY VALUE PROBLEMS 51

Terms with highest relevance score


rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 UNIVALENT FUNCTIONS authKW 1932251 7% 87% 349
2 ANALYTIC FUNCTIONS authKW 1719097 10% 54% 502
3 STARLIKE FUNCTIONS authKW 1696265 6% 93% 286
4 DIFFERENTIAL SUBORDINATION authKW 1051413 4% 83% 199
5 UNIVALENT authKW 811014 3% 89% 143
6 SUBORDINATION authKW 788644 5% 51% 243
7 STARLIKE authKW 755363 2% 98% 121
8 HADAMARD PRODUCT OR CONVOLUTION authKW 640995 2% 99% 102
9 CLOSE TO CONVEX FUNCTIONS authKW 515150 2% 96% 85
10 HARMONIC MAPPINGS authKW 494976 2% 76% 103

Web of Science journal categories


chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 173840 80% 1% 3969
2 Mathematics, Applied 55422 42% 0% 2089
3 Multidisciplinary Sciences 47 1% 0% 40
4 Computer Science, Interdisciplinary Applications 41 1% 0% 73
5 Computer Science, Software Engineering 33 1% 0% 55
6 Statistics & Probability 32 1% 0% 59
7 Computer Science, Theory & Methods 13 1% 0% 58
8 Mechanics 10 2% 0% 81
9 Engineering, Marine 7 0% 0% 5
10 Mathematics, Interdisciplinary Applications 4 1% 0% 35

Address terms


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SETS 166772 1% 91% 29
2 CHENNAI 127493 1% 47% 43
3 CHUOU WARD 102800 0% 90% 18
4 MGR KNOWLEDGE CITY 90644 0% 71% 20
5 MATH 71173 45% 1% 2233
6 CHEBOTAREV 65269 0% 86% 12
7 UNIV ENGN TIN ANAM 28554 0% 75% 6
8 AVIAT SPACE SCI 25384 0% 100% 4
9 SOC ELECT TRANSACT SECUR 23913 0% 54% 7
10 ANAL ALGEBRA 23866 0% 24% 16

Journals


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 143482 3% 14% 159
2 JOURNAL D ANALYSE MATHEMATIQUE 92139 3% 11% 132
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 70582 2% 11% 102
4 COMPUTATIONAL METHODS AND FUNCTION THEORY 48356 1% 25% 30
5 FILOMAT 31347 2% 6% 89
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 26587 6% 1% 302
7 JOURNAL OF INEQUALITIES AND APPLICATIONS 24335 2% 3% 116
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 21356 5% 1% 241
9 COMPLEX ANALYSIS AND OPERATOR THEORY 20711 1% 7% 47
10 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 20075 1% 5% 64

Author Key Words


chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 UNIVALENT FUNCTIONS 1932251 7% 87% 349 Search UNIVALENT+FUNCTIONS Search UNIVALENT+FUNCTIONS
2 ANALYTIC FUNCTIONS 1719097 10% 54% 502 Search ANALYTIC+FUNCTIONS Search ANALYTIC+FUNCTIONS
3 STARLIKE FUNCTIONS 1696265 6% 93% 286 Search STARLIKE+FUNCTIONS Search STARLIKE+FUNCTIONS
4 DIFFERENTIAL SUBORDINATION 1051413 4% 83% 199 Search DIFFERENTIAL+SUBORDINATION Search DIFFERENTIAL+SUBORDINATION
5 UNIVALENT 811014 3% 89% 143 Search UNIVALENT Search UNIVALENT
6 SUBORDINATION 788644 5% 51% 243 Search SUBORDINATION Search SUBORDINATION
7 STARLIKE 755363 2% 98% 121 Search STARLIKE Search STARLIKE
8 HADAMARD PRODUCT OR CONVOLUTION 640995 2% 99% 102 Search HADAMARD+PRODUCT+OR+CONVOLUTION Search HADAMARD+PRODUCT+OR+CONVOLUTION
9 CLOSE TO CONVEX FUNCTIONS 515150 2% 96% 85 Search CLOSE+TO+CONVEX+FUNCTIONS Search CLOSE+TO+CONVEX+FUNCTIONS
10 HARMONIC MAPPINGS 494976 2% 76% 103 Search HARMONIC+MAPPINGS Search HARMONIC+MAPPINGS

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 2


rank cluster_id2 link
1 1123 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//BERGMAN SPACE
2 1525 MATHEMATICS//HOLOMORPHIC FOLIATION//PLURISUBHARMONIC FUNCTION
3 3155 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY
4 521 MATHEMATICS//BMO//COMMUTATOR
5 3703 FARTHEST POINT//CHEBYSHEV SET//GENERIC PROPERTY
6 3916 LAGUERRE POLYA CLASS//HYPERBOLIC POLYNOMIAL//HYPERBOLIC POLYNOMIALS
7 3618 BENFORDS LAW//GREATEST TYPE DIVISOR//GCD MATRIX
8 865 ERGODIC THEORY AND DYNAMICAL SYSTEMS//HAUSDORFF DIMENSION//JULIA SET
9 2166 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//JOURNAL OF MATHEMATICAL INEQUALITIES
10 1026 MATHEMATICS//3 MANIFOLD//ALGEBRAIC AND GEOMETRIC TOPOLOGY

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