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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17327 605 14.7 34%


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
664 3       MEROMORPHIC FUNCTION//UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS 10322
2311 2             UNIVALENT FUNCTIONS//ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS 4496
17327 1                   HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS 605

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 HARMONIC MAPPINGS authKW 2277417 13% 59% 76
2 BLOCH CONSTANT authKW 917641 3% 91% 20
3 UNIVALENT HARMONIC MAPPINGS authKW 767678 3% 89% 17
4 PLANAR HARMONIC MAPPINGS authKW 508908 2% 92% 11
5 HARMONIC QUASICONFORMAL MAPPINGS authKW 454234 1% 100% 9
6 CONVEX IN ONE DIRECTION authKW 408809 1% 90% 9
7 HARMONIC UNIVALENT MAPPINGS authKW 403764 1% 100% 8
8 P HARMONIC MAPPING authKW 358899 1% 89% 8
9 CHENNAI address 350219 4% 29% 24
10 SETS address 315894 2% 48% 13

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 27073 90% 0% 544
2 Mathematics, Applied 5627 39% 0% 233
3 Multidisciplinary Sciences 17 1% 0% 7
4 Logic 2 0% 0% 1
5 Computer Science, Theory & Methods 1 1% 0% 6
6 Physics, Mathematical 0 1% 0% 5
7 Statistics & Probability -0 0% 0% 3
8 Physics, Particles & Fields -1 1% 0% 4
9 Computer Science, Software Engineering -1 0% 0% 1
10 Astronomy & Astrophysics -3 1% 0% 4

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 CHENNAI 350219 4% 29% 24
2 SETS 315894 2% 48% 13
3 MGR KNOWLEDGE CITY 244265 2% 44% 11
4 SOC ELECT TRANSACT SECUR 62112 1% 31% 4
5 CHENNAI SETS SOC ELECT TRANSACT SECUR 50470 0% 100% 1
6 FEN ED FAK MATEMAT 50470 0% 100% 1
7 INDIAN STAT ISI 50470 0% 100% 1
8 LG KOMPLEXITAT ALGORITHMEN 50470 0% 100% 1
9 MATH COMPUTATIONAL SCI 50470 0% 100% 1
10 SOC ELECT TRANSACT SECURITY 50470 0% 100% 1

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 ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA 44642 5% 3% 31
2 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 36545 4% 3% 25
3 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 31255 4% 3% 23
4 JOURNAL D ANALYSE MATHEMATIQUE 17157 3% 2% 20
5 BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY 11485 2% 2% 13
6 COMPLEX ANALYSIS AND OPERATOR THEORY 9973 2% 2% 11
7 FILOMAT 9055 2% 1% 15
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5957 8% 0% 50
9 COMPUTATIONAL METHODS AND FUNCTION THEORY 5043 0% 5% 2
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 5022 7% 0% 41

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 HARMONIC MAPPINGS 2277417 13% 59% 76 Search HARMONIC+MAPPINGS Search HARMONIC+MAPPINGS
2 BLOCH CONSTANT 917641 3% 91% 20 Search BLOCH+CONSTANT Search BLOCH+CONSTANT
3 UNIVALENT HARMONIC MAPPINGS 767678 3% 89% 17 Search UNIVALENT+HARMONIC+MAPPINGS Search UNIVALENT+HARMONIC+MAPPINGS
4 PLANAR HARMONIC MAPPINGS 508908 2% 92% 11 Search PLANAR+HARMONIC+MAPPINGS Search PLANAR+HARMONIC+MAPPINGS
5 HARMONIC QUASICONFORMAL MAPPINGS 454234 1% 100% 9 Search HARMONIC+QUASICONFORMAL+MAPPINGS Search HARMONIC+QUASICONFORMAL+MAPPINGS
6 CONVEX IN ONE DIRECTION 408809 1% 90% 9 Search CONVEX+IN+ONE+DIRECTION Search CONVEX+IN+ONE+DIRECTION
7 HARMONIC UNIVALENT MAPPINGS 403764 1% 100% 8 Search HARMONIC+UNIVALENT+MAPPINGS Search HARMONIC+UNIVALENT+MAPPINGS
8 P HARMONIC MAPPING 358899 1% 89% 8 Search P+HARMONIC+MAPPING Search P+HARMONIC+MAPPING
9 BLOCH MAPPING 302823 1% 100% 6 Search BLOCH+MAPPING Search BLOCH+MAPPING
10 POLYHARMONIC MAPPING 302823 1% 100% 6 Search POLYHARMONIC+MAPPING Search POLYHARMONIC+MAPPING

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 WANG, ZG , LIU, ZH , LI, YC , (2013) ON THE LINEAR COMBINATIONS OF HARMONIC UNIVALENT MAPPINGS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 400. ISSUE 2. P. 452 -459 29 97% 3
2 WANG, ZG , LIU, ZH , LI, YC , (2016) ON CONVOLUTIONS OF HARMONIC UNIVALENT MAPPINGS CONVEX IN THE DIRECTION OF THE REAL AXIS.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. VOL. 6. ISSUE 1. P. 145 -155 18 86% 2
3 KALAJ, D , (2011) INVERTIBLE HARMONIC MAPPINGS BEYOND THE KNESER THEOREM AND QUASICONFORMAL HARMONIC MAPPINGS.STUDIA MATHEMATICA. VOL. 207. ISSUE 2. P. 117-136 21 91% 4
4 CHEN, XD , QIAN, T , (2015) ESTIMATION OF HYPERBOLICALLY PARTIAL DERIVATIVES OF RHO-HARMONIC QUASICONFORMAL MAPPINGS AND ITS APPLICATIONS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 60. ISSUE 6. P. 875 -892 18 95% 1
5 KALAJ, D , (2011) HARMONIC MAPPINGS AND DISTANCE FUNCTION.ANNALI DELLA SCUOLA NORMALE SUPERIORE DI PISA-CLASSE DI SCIENZE. VOL. 10. ISSUE 3. P. 669 -681 19 100% 0
6 ZHU, JF , (2016) COEFFICIENTS ESTIMATE FOR HARMONIC V-BLOCH MAPPINGS AND HARMONIC K-QUASICONFORMAL MAPPINGS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE 1. P. 349 -358 16 100% 0
7 KALAJ, D , (2015) ON QUASI-CONFORMAL HARMONIC MAPS BETWEEN SURFACES.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 2. P. 355 -380 18 90% 0
8 KALAJ, D , (2013) ON QUASI-CONFORMAL SELF-MAPPINGS OF THE UNIT DISC AND ELLIPTIC PDES IN THE PLANE.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 143. ISSUE 4. P. 831 -849 20 83% 0
9 ZHU, JF , KALAJ, D , (2017) QUASICONFORMAL HARMONIC MAPPINGS AND THE CURVATURE OF THE BOUNDARY.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 446. ISSUE 2. P. 1154 -1166 16 94% 0
10 LIU, MS , LIU, ZX , (2014) LANDAU-TYPE THEOREMS FOR P-HARMONIC MAPPINGS OR LOG-P-HARMONIC MAPPINGS.APPLICABLE ANALYSIS. VOL. 93. ISSUE 11. P. 2462 -2477 16 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23198 BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN
2 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION
3 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
4 5622 ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//DIFFERENTIAL SUBORDINATION
5 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE
6 21095 NPC SPACE//CARTAN HADAMARD MANIFOLD//ADMISSIBLE CONVERGENCE
7 10255 MAPPINGS OF FINITE DISTORTION//GRAND LEBESGUE SPACES//MAPPING OF FINITE DISTORTION
8 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
9 1527 COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE
10 26795 KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS

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