Class information for:
Level 1: BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN

Basic class information

Class id #P Avg. number of
references
Database coverage
of references
23198 355 19.3 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
23198 1                   BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN 355

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 BIHOLOMORPHIC MAPPING authKW 2569933 10% 85% 35
2 STARLIKE MAPPING authKW 2380498 9% 86% 32
3 LOEWNER CHAIN authKW 1955072 8% 78% 29
4 ROPER SUFFRIDGE EXTENSION OPERATOR authKW 1376231 5% 100% 16
5 QUASI CONVEX MAPPING authKW 1204202 4% 100% 14
6 PARAMETRIC REPRESENTATION authKW 1097098 7% 51% 25
7 BIHOLOMORPHIC CONVEX MAPPING authKW 1032173 3% 100% 12
8 BIHOLOMORPHIC STARLIKE MAPPING authKW 946159 3% 100% 11
9 LOCALLY BIHOLOMORPHIC MAPPING authKW 800592 3% 85% 11
10 CONVEX MAPPING authKW 692201 4% 62% 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 18175 96% 0% 341
2 Mathematics, Applied 4693 46% 0% 162
3 Multidisciplinary Sciences 9 1% 0% 4
4 Statistics & Probability 0 1% 0% 3
5 Mathematics, Interdisciplinary Applications -0 0% 0% 1
6 Computer Science, Theory & Methods -1 0% 0% 1
7 Physics, Mathematical -1 0% 0% 1
8 Mechanics -2 0% 0% 1
9 Materials Science, Multidisciplinary -13 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 GEN STUDY PROGRAM 258043 1% 100% 3
2 ANAL DIFFERENTIAL EQUAT 114685 1% 67% 2
3 DIPARTIMENTO MATEMAT LICADA 2 86014 0% 100% 1
4 ECON BUSINESS ADMINISRAT 86014 0% 100% 1
5 MATEMAT LICATA 2 86014 0% 100% 1
6 SRC GAIA 86014 0% 100% 1
7 VOLZHSKII HUMANITIES 86014 0% 100% 1
8 MATEMAT LICADA 2 53536 6% 3% 22
9 STATE ADV TECHNOL MAT COMPOUND PROC 43006 0% 50% 1
10 VOLZHSKY HUMANITIES 43006 0% 50% 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 COMPLEX ANALYSIS AND OPERATOR THEORY 45577 5% 3% 18
2 JOURNAL D ANALYSE MATHEMATIQUE 16455 4% 1% 15
3 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 13301 16% 0% 57
4 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 12052 3% 1% 11
5 ACTA MATHEMATICA SCIENTIA 11015 5% 1% 18
6 COMPUTATIONAL METHODS AND FUNCTION THEORY 8598 1% 5% 2
7 JOURNAL OF NONLINEAR AND CONVEX ANALYSIS 6706 2% 1% 8
8 CHINESE ANNALS OF MATHEMATICS SERIES B 6195 3% 1% 11
9 TRENDS IN MATHEMATICS 5776 2% 1% 7
10 TAIWANESE JOURNAL OF MATHEMATICS 4059 3% 1% 9

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 BIHOLOMORPHIC MAPPING 2569933 10% 85% 35 Search BIHOLOMORPHIC+MAPPING Search BIHOLOMORPHIC+MAPPING
2 STARLIKE MAPPING 2380498 9% 86% 32 Search STARLIKE+MAPPING Search STARLIKE+MAPPING
3 LOEWNER CHAIN 1955072 8% 78% 29 Search LOEWNER+CHAIN Search LOEWNER+CHAIN
4 ROPER SUFFRIDGE EXTENSION OPERATOR 1376231 5% 100% 16 Search ROPER+SUFFRIDGE+EXTENSION+OPERATOR Search ROPER+SUFFRIDGE+EXTENSION+OPERATOR
5 QUASI CONVEX MAPPING 1204202 4% 100% 14 Search QUASI+CONVEX+MAPPING Search QUASI+CONVEX+MAPPING
6 PARAMETRIC REPRESENTATION 1097098 7% 51% 25 Search PARAMETRIC+REPRESENTATION Search PARAMETRIC+REPRESENTATION
7 BIHOLOMORPHIC CONVEX MAPPING 1032173 3% 100% 12 Search BIHOLOMORPHIC+CONVEX+MAPPING Search BIHOLOMORPHIC+CONVEX+MAPPING
8 BIHOLOMORPHIC STARLIKE MAPPING 946159 3% 100% 11 Search BIHOLOMORPHIC+STARLIKE+MAPPING Search BIHOLOMORPHIC+STARLIKE+MAPPING
9 LOCALLY BIHOLOMORPHIC MAPPING 800592 3% 85% 11 Search LOCALLY+BIHOLOMORPHIC+MAPPING Search LOCALLY+BIHOLOMORPHIC+MAPPING
10 CONVEX MAPPING 692201 4% 62% 13 Search CONVEX+MAPPING Search CONVEX+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 HAMADA, H , IANCU, M , KOHR, G , (2016) EXTREMAL PROBLEMS FOR MAPPINGS WITH GENERALIZED PARAMETRIC REPRESENTATION IN C-N.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 10. ISSUE 5. P. 1045 -1080 25 100% 0
2 HAMADA, H , IANCU, M , KOHR, G , (2016) CONVERGENCE RESULTS FOR FAMILIES OF UNIVALENT MAPPINGS ON THE UNIT BALL IN C-N.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 2. P. 601 -616 24 100% 0
3 GRAHAM, I , HAMADA, H , KOHR, G , KOHR, M , (2014) EXTREMAL PROPERTIES ASSOCIATED WITH UNIVALENT SUBORDINATION CHAINS IN C-N.MATHEMATISCHE ANNALEN. VOL. 359. ISSUE 1-2. P. 61 -99 23 96% 7
4 CHIRILA, T , (2013) AN EXTENSION OPERATOR ASSOCIATED WITH CERTAIN G-LOEWNER CHAINS.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 17. ISSUE 5. P. 1819-1837 24 96% 0
5 CHIRILA, T , (2014) ANALYTIC AND GEOMETRIC PROPERTIES ASSOCIATED WITH SOME EXTENSION OPERATORS.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 59. ISSUE 3. P. 427 -442 21 100% 1
6 GRAHAM, I , HAMADA, H , KOHR, G , KOHR, M , (2016) SUPPORT POINTS AND EXTREME POINTS FOR MAPPINGS WITH A-PARAMETRIC REPRESENTATION IN C-N.JOURNAL OF GEOMETRIC ANALYSIS. VOL. 26. ISSUE 2. P. 1560 -1595 19 100% 0
7 HAMADA, H , KOHR, G , MUIR, JR , (2013) EXTENSIONS OF L (D) -LOEWNER CHAINS TO HIGHER DIMENSIONS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 120. ISSUE . P. 357-392 22 88% 1
8 BRACCI, F , GRAHAM, I , HAMADA, H , KOHR, G , (2016) VARIATION OF LOEWNER CHAINS, EXTREME AND SUPPORT POINTS IN THE CLASS IN HIGHER DIMENSIONS.CONSTRUCTIVE APPROXIMATION. VOL. 43. ISSUE 2. P. 231 -251 17 100% 0
9 CHIRILA, T , (2014) SUBCLASSES OF BIHOLOMORPHIC MAPPINGS ASSOCIATED WITH G-LOEWNER CHAINS ON THE UNIT BALL IN C-N.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 59. ISSUE 10. P. 1456-1474 17 100% 0
10 GRAHAM, I , HAMADA, H , KOHR, G , KOHR, M , (2013) ASYMPTOTICALLY SPIRALLIKE MAPPINGS IN REFLEXIVE COMPLEX BANACH SPACES.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 7. ISSUE 6. P. 1909-1927 17 100% 2

Classes with closest relation at Level 1



Rank Class id link
1 20129 ALMOST COMPLEX MANIFOLDS//ITERATES OF HOLOMORPHIC MAPPINGS//THE DENJOY WOLFF THEOREM
2 17327 HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS
3 16741 SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS
4 29291 CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY
5 5622 ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//DIFFERENTIAL SUBORDINATION
6 1527 COMPOSITION OPERATOR//WEIGHTED COMPOSITION OPERATOR//BLOCH SPACE
7 15350 SCHRAMM LOEWNER EVOLUTION//STOCHASTIC LOEWNER EVOLUTION//LOOP ERASED RANDOM WALK
8 15307 JB TRIPLE//JBW TRIPLE//JB ALGEBRA
9 15889 GENERALIZED SCHUR FUNCTIONS//INTEGRAL EQUATIONS AND OPERATOR THEORY//WEYL MATRIX BALLS
10 7020 CR MANIFOLD//CR MAPPINGS//CR FUNCTIONS

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