Class information for:
Level 1: HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS

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
14313 1                   HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS 809

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 HARMONIC MAPPINGS authKW 2695091 12% 71% 97
2 BLOCH CONSTANT authKW 746941 3% 91% 21
3 UNIVALENT HARMONIC MAPPINGS authKW 742023 2% 95% 20
4 SCHWARZ PICK LEMMA authKW 435222 2% 62% 18
5 CONVEX IN ONE DIRECTION authKW 431514 1% 92% 12
6 PLANAR HARMONIC MAPPINGS authKW 392808 1% 92% 11
7 HARMONIC QUASICONFORMAL MAPPINGS authKW 389563 1% 100% 10
8 SCHWARZIAN DERIVATIVE authKW 369319 4% 30% 32
9 SETS address 351808 2% 53% 17
10 HARMONIC UNIVALENT MAPPINGS authKW 350607 1% 100% 9

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 37091 91% 0% 738
2 Mathematics, Applied 7141 38% 0% 304
3 Logic 1 0% 0% 1
4 Computer Science, Theory & Methods 1 1% 0% 8
5 Statistics & Probability 0 1% 0% 5
6 Physics, Mathematical -0 1% 0% 6
7 Multidisciplinary Sciences -0 0% 0% 2
8 Physics, Fluids & Plasmas -2 0% 0% 2
9 Mechanics -2 1% 0% 5
10 Physics, Particles & Fields -2 0% 0% 4

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 SETS 351808 2% 53% 17
2 CHENNAI 243865 3% 26% 24
3 MGR KNOWLEDGE CITY 235115 2% 46% 13
4 CHEBOTAREV 136340 1% 50% 7
5 GEN STUDY PROGRAM 116869 0% 100% 3
6 CHENNAI SETS SOC ELECT TRANSACT SECUR 77913 0% 100% 2
7 FEN ED FAK MATEMAT 38956 0% 100% 1
8 INDIAN STAT ISI 38956 0% 100% 1
9 LG KOMPLEXITAT ALGORITHMEN 38956 0% 100% 1
10 MATH COMPUTATIONAL SCI 38956 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 90696 6% 5% 51
2 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 45406 4% 4% 33
3 COMPUTATIONAL METHODS AND FUNCTION THEORY 21114 1% 7% 8
4 JOURNAL D ANALYSE MATHEMATIQUE 20292 3% 2% 25
5 COMPLEX ANALYSIS AND OPERATOR THEORY 14765 2% 2% 16
6 FILOMAT 10730 3% 1% 21
7 BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 9589 2% 2% 14
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 6686 8% 0% 61
9 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5442 6% 0% 49
10 PACIFIC JOURNAL OF MATHEMATICS 3666 3% 0% 21

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 HARMONIC MAPPINGS 2695091 12% 71% 97 Search HARMONIC+MAPPINGS Search HARMONIC+MAPPINGS
2 BLOCH CONSTANT 746941 3% 91% 21 Search BLOCH+CONSTANT Search BLOCH+CONSTANT
3 UNIVALENT HARMONIC MAPPINGS 742023 2% 95% 20 Search UNIVALENT+HARMONIC+MAPPINGS Search UNIVALENT+HARMONIC+MAPPINGS
4 SCHWARZ PICK LEMMA 435222 2% 62% 18 Search SCHWARZ+PICK+LEMMA Search SCHWARZ+PICK+LEMMA
5 CONVEX IN ONE DIRECTION 431514 1% 92% 12 Search CONVEX+IN+ONE+DIRECTION Search CONVEX+IN+ONE+DIRECTION
6 PLANAR HARMONIC MAPPINGS 392808 1% 92% 11 Search PLANAR+HARMONIC+MAPPINGS Search PLANAR+HARMONIC+MAPPINGS
7 HARMONIC QUASICONFORMAL MAPPINGS 389563 1% 100% 10 Search HARMONIC+QUASICONFORMAL+MAPPINGS Search HARMONIC+QUASICONFORMAL+MAPPINGS
8 SCHWARZIAN DERIVATIVE 369319 4% 30% 32 Search SCHWARZIAN+DERIVATIVE Search SCHWARZIAN+DERIVATIVE
9 HARMONIC UNIVALENT MAPPINGS 350607 1% 100% 9 Search HARMONIC+UNIVALENT+MAPPINGS Search HARMONIC+UNIVALENT+MAPPINGS
10 SCHWARZ PICK ESTIMATE 350607 1% 100% 9 Search SCHWARZ+PICK+ESTIMATE Search SCHWARZ+PICK+ESTIMATE

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 4350 ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//UNIVALENT FUNCTIONS
2 38855 SYMMETRY PROBLEMS//FOURIER TRANSFORMS OF CHARACTERISTIC SETS//OVER DETERMINED BOUNDARY VALUE PROBLEMS
3 17207 STARLIKE MAPPING//BIHOLOMORPHIC MAPPING//LOEWNER CHAIN
4 13845 TEICHMULLER SPACE//STREBEL POINT//HAMILTON SEQUENCE
5 13368 GRAND LEBESGUE SPACES//MAPPINGS OF FINITE DISTORTION//MAPPING OF FINITE DISTORTION
6 6766 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
7 25131 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LINDELOF PRINCIPLE
8 37375 SWISS CHEESES//LIPSCHITZ ALGEBRAS//RECTIFIABLY CONNECTED
9 7709 P HARMONIC MAPS//HARMONIC MAPS//ENERGY IDENTITY
10 24877 COMPLEX SYMMETRIC OPERATOR//TRUNCATED TOEPLITZ OPERATOR//MODEL SPACE

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