Class information for:
Level 1: SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
16741 638 12.9 25%


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
16741 1                   SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS 638

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 SCHWARZIAN DERIVATIVE authKW 422250 5% 29% 30
2 CHEBOTAREV address 341850 2% 71% 10
3 LOGARITHMIC COEFFICIENTS authKW 335019 1% 100% 7
4 UNIVALENCE CONDITION authKW 246134 1% 86% 6
5 FABER COEFFICIENTS authKW 239299 1% 100% 5
6 UNIVALENT FUNCTIONS authKW 205225 6% 11% 40
7 JACOBI ELLIPTIC SINE FUNCTION authKW 191439 1% 100% 4
8 TWO POINT DISTORTION authKW 170925 1% 71% 5
9 HYPERBOLIC METRIC authKW 163336 3% 21% 16
10 PRE SCHWARZIAN DERIVATIVE authKW 161203 1% 42% 8

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 32681 96% 0% 613
2 Mathematics, Applied 2252 24% 0% 155
3 Multidisciplinary Sciences 15 1% 0% 7
4 Statistics & Probability 0 1% 0% 4
5 Physics, Mathematical -0 1% 0% 4
6 Automation & Control Systems -1 0% 0% 1
7 Engineering, Electrical & Electronic -17 0% 0% 1

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 CHEBOTAREV 341850 2% 71% 10
2 HBEREICH MATH MA 8 2 47860 0% 100% 1
3 HBEREICH MATH MA8 2 47860 0% 100% 1
4 KG CHEBOTAREV MATH MECH 47860 0% 100% 1
5 SCI HUMANITIES VISUAL COMMUN 47860 0% 100% 1
6 ANAL ALGEBRA 36066 1% 11% 7
7 INTEGRATED STUDIES 28479 1% 12% 5
8 KALUGA 11963 0% 25% 1
9 MATH MA 8 1 9570 0% 20% 1
10 CHEBOTAREV MATH MECH 4158 0% 4% 2

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 70500 6% 4% 40
2 JOURNAL D ANALYSE MATHEMATIQUE 41683 5% 3% 32
3 MICHIGAN MATHEMATICAL JOURNAL 14535 3% 1% 21
4 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 11664 10% 0% 64
5 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 10970 2% 2% 14
6 BULLETIN OF THE LONDON MATHEMATICAL SOCIETY 6035 3% 1% 19
7 SIBERIAN MATHEMATICAL JOURNAL 5700 3% 1% 19
8 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 5532 2% 1% 10
9 ARKIV FOR MATEMATIK 5117 1% 1% 9
10 COMPUTATIONAL METHODS AND FUNCTION THEORY 4782 0% 5% 2

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 SCHWARZIAN DERIVATIVE 422250 5% 29% 30 Search SCHWARZIAN+DERIVATIVE Search SCHWARZIAN+DERIVATIVE
2 LOGARITHMIC COEFFICIENTS 335019 1% 100% 7 Search LOGARITHMIC+COEFFICIENTS Search LOGARITHMIC+COEFFICIENTS
3 UNIVALENCE CONDITION 246134 1% 86% 6 Search UNIVALENCE+CONDITION Search UNIVALENCE+CONDITION
4 FABER COEFFICIENTS 239299 1% 100% 5 Search FABER+COEFFICIENTS Search FABER+COEFFICIENTS
5 UNIVALENT FUNCTIONS 205225 6% 11% 40 Search UNIVALENT+FUNCTIONS Search UNIVALENT+FUNCTIONS
6 JACOBI ELLIPTIC SINE FUNCTION 191439 1% 100% 4 Search JACOBI+ELLIPTIC+SINE+FUNCTION Search JACOBI+ELLIPTIC+SINE+FUNCTION
7 TWO POINT DISTORTION 170925 1% 71% 5 Search TWO+POINT+DISTORTION Search TWO+POINT+DISTORTION
8 HYPERBOLIC METRIC 163336 3% 21% 16 Search HYPERBOLIC+METRIC Search HYPERBOLIC+METRIC
9 PRE SCHWARZIAN DERIVATIVE 161203 1% 42% 8 Search PRE+SCHWARZIAN+DERIVATIVE Search PRE+SCHWARZIAN+DERIVATIVE
10 QUASICONFORMAL EXTENSION 161203 1% 42% 8 Search QUASICONFORMAL+EXTENSION Search QUASICONFORMAL+EXTENSION

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 MA, W , MEJIA, D , MINDA, D , (2014) TWO-POINT DISTORTION FOR NEHARI FUNCTIONS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 8. ISSUE 1. P. 213 -225 10 100% 0
2 STOWE, D , (2015) AN AHLFORS DERIVATIVE FOR CONFORMAL IMMERSIONS.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 25. ISSUE 1. P. 592 -615 8 100% 0
3 ARBELAEZ, H , CHUAQUI, M , SIERRA, W , (2015) UNIFORM DOMAINS ON HOLOMORPHIC CURVES.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 60. ISSUE 7. P. 1015 -1031 8 100% 0
4 SIERRA, W , (2013) JOHN SURFACES ASSOCIATED WITH A CLASS OF HARMONIC MAPPINGS.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 38. ISSUE 2. P. 595 -616 8 100% 0
5 SCHIPPERS, E , (2003) CONFORMAL INVARIANTS AND HIGHER-ORDER SCHWARZ LEMMAS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 90. ISSUE . P. 217-241 10 100% 3
6 CAGLAR, M , ORHAN, H , (2017) UNIVALENCE CRITERIA AND QUASICONFORMAL EXTENSIONS.UKRAINIAN MATHEMATICAL JOURNAL. VOL. 68. ISSUE 8. P. 1314 -1321 7 100% 0
7 AHARONOV, D , BSHOUTY, D , (2016) A PROBLEM OF BOMBIERI ON UNIVALENT FUNCTIONS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 16. ISSUE 4. P. 677 -688 7 100% 0
8 CAGLAR, M , ORHAN, H , (2015) SUFFICIENT CONDITIONS FOR UNIVALENCE AND QUASICONFORMAL EXTENSIONS.INDIAN JOURNAL OF PURE & APPLIED MATHEMATICS. VOL. 46. ISSUE 1. P. 41 -50 7 100% 0
9 CHUAQUI, M , OSGOOD, B , (1998) GENERAL UNIVALENCE CRITERIA IN THE DISK: EXTENSIONS AND EXTREMAL FUNCTION.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 23. ISSUE 1. P. 101-132 11 100% 4
10 CHUAQUI, M , DUREN, R , OSGOOD, B , (2007) UNIVALENCE CRITERIA FOR LIFTS OF HARMONIC MAPPINGS TO MINIMAL SURFACES.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 17. ISSUE 1. P. 49-74 9 90% 10

Classes with closest relation at Level 1


Rank Class id link
1 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
2 23198 BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN
3 17783 TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE
4 17327 HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS
5 5622 ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//DIFFERENTIAL SUBORDINATION
6 36702 COMPLEX KLEINIAN GROUPS//PROJECTIVE COMPLEX PLANE//LIMIT SET
7 35452 PARTIAL AUTOCORRELATION FUNCTIONS//RIGID FUNCTIONS//BAXTERS CONDITION
8 6534 DOUBLING MEASURE//ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA//QUASIHYPERBOLIC METRIC
9 29725 RANDOM DIRICHLET SERIES//GENERALIZED TYPE//ORDER R
10 8657 JULIA SET//FATOU SET//HOLOMORPHIC DYNAMICS

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