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

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
2311 4496 15.2 30%


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
5622 1                   ANALYTIC FUNCTIONS//STARLIKE FUNCTIONS//DIFFERENTIAL SUBORDINATION 1596
16741 1                   SCHWARZIAN DERIVATIVE//CHEBOTAREV//LOGARITHMIC COEFFICIENTS 638
17327 1                   HARMONIC MAPPINGS//BLOCH CONSTANT//UNIVALENT HARMONIC MAPPINGS 605
17783 1                   TEICHMULLER SPACE//ASYMPTOTIC TEICHMULLER SPACE//HAMILTON SEQUENCE 583
18918 1                   NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION 530
23198 1                   BIHOLOMORPHIC MAPPING//STARLIKE MAPPING//LOEWNER CHAIN 355
29291 1                   CONDENSER CAPACITY//CIRCULAR SYMMETRIZATION//LOGARITHMIC CAPACITY 189

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 UNIVALENT FUNCTIONS authKW 1899030 7% 87% 323
2 ANALYTIC FUNCTIONS authKW 1760644 11% 54% 481
3 STARLIKE FUNCTIONS authKW 1701830 6% 92% 271
4 DIFFERENTIAL SUBORDINATION authKW 1085395 4% 83% 193
5 UNIVALENT authKW 800666 3% 89% 133
6 SUBORDINATION authKW 765359 5% 50% 224
7 STARLIKE authKW 760685 3% 98% 114
8 HADAMARD PRODUCT OR CONVOLUTION authKW 672253 2% 99% 100
9 CLOSE TO CONVEX FUNCTIONS authKW 530858 2% 95% 82
10 MULTIVALENT FUNCTIONS authKW 482165 2% 99% 72

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 147872 77% 1% 3477
2 Mathematics, Applied 52433 43% 0% 1931
3 Computer Science, Interdisciplinary Applications 47 2% 0% 70
4 Computer Science, Software Engineering 43 1% 0% 55
5 Statistics & Probability 42 1% 0% 59
6 Multidisciplinary Sciences 24 1% 0% 30
7 Computer Science, Theory & Methods 15 1% 0% 55
8 Physics, Mathematical 8 1% 0% 50
9 Mathematics, Interdisciplinary Applications 3 1% 0% 31
10 Engineering, General 1 1% 0% 30

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 SETS 133023 1% 85% 23
2 CHENNAI 111949 1% 45% 37
3 CHUOU WARD 83171 0% 88% 14
4 MGR KNOWLEDGE CITY 78479 0% 68% 17
5 CHEBOTAREV 69834 0% 86% 12
6 MATH 64934 45% 1% 2015
7 AVIAT SPACE SCI 27159 0% 100% 4
8 ANAL ALGEBRA 26717 0% 25% 16
9 SOC ELECT TRANSACT SECUR 25586 0% 54% 7
10 ANAL DIFFERENTIAL EQUAT 20369 0% 100% 3

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 133140 3% 13% 146
2 JOURNAL D ANALYSE MATHEMATIQUE 78959 3% 10% 117
3 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 72422 2% 11% 96
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 27022 3% 3% 115
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 25365 6% 1% 282
6 COMPUTATIONAL METHODS AND FUNCTION THEORY 24426 0% 30% 12
7 FILOMAT 23536 1% 5% 66
8 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 21509 1% 5% 63
9 COMPLEX ANALYSIS AND OPERATOR THEORY 21432 1% 7% 44
10 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 17939 5% 1% 212

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 UNIVALENT FUNCTIONS 1899030 7% 87% 323 Search UNIVALENT+FUNCTIONS Search UNIVALENT+FUNCTIONS
2 ANALYTIC FUNCTIONS 1760644 11% 54% 481 Search ANALYTIC+FUNCTIONS Search ANALYTIC+FUNCTIONS
3 STARLIKE FUNCTIONS 1701830 6% 92% 271 Search STARLIKE+FUNCTIONS Search STARLIKE+FUNCTIONS
4 DIFFERENTIAL SUBORDINATION 1085395 4% 83% 193 Search DIFFERENTIAL+SUBORDINATION Search DIFFERENTIAL+SUBORDINATION
5 UNIVALENT 800666 3% 89% 133 Search UNIVALENT Search UNIVALENT
6 SUBORDINATION 765359 5% 50% 224 Search SUBORDINATION Search SUBORDINATION
7 STARLIKE 760685 3% 98% 114 Search STARLIKE Search STARLIKE
8 HADAMARD PRODUCT OR CONVOLUTION 672253 2% 99% 100 Search HADAMARD+PRODUCT+OR+CONVOLUTION Search HADAMARD+PRODUCT+OR+CONVOLUTION
9 CLOSE TO CONVEX FUNCTIONS 530858 2% 95% 82 Search CLOSE+TO+CONVEX+FUNCTIONS Search CLOSE+TO+CONVEX+FUNCTIONS
10 MULTIVALENT FUNCTIONS 482165 2% 99% 72 Search MULTIVALENT+FUNCTIONS Search MULTIVALENT+FUNCTIONS

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 , SRIVASTAVA, HM , YUAN, SM , (2014) SOME BASIC PROPERTIES OF CERTAIN SUBCLASSES OF MEROMORPHICALLY STARLIKE FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 31 100% 100
2 WANG, ZG , SUN, Y , ZHANG, ZH , (2009) CERTAIN CLASSES OF MEROMORPHIC MULTIVALENT FUNCTIONS.COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 58. ISSUE 7. P. 1408-1417 34 97% 7
3 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
4 SHAREEF, Z , HUSSAIN, S , DARUS, M , (2012) CONVOLUTION OPERATORS IN THE GEOMETRIC FUNCTION THEORY.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 28 100% 2
5 YUNUS, AAM , MURID, AHM , NASSER, MMS , (2014) NUMERICAL CONFORMAL MAPPING AND ITS INVERSE OF UNBOUNDED MULTIPLY CONNECTED REGIONS ONTO LOGARITHMIC SPIRAL SLIT REGIONS AND STRAIGHT SLIT REGIONS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 470. ISSUE 2162. P. - 26 96% 5
6 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
7 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 24 100% 7
8 CHO, NE , KWON, OS , ALI, RM , RAVICHANDRAN, V , (2011) SUBORDINATION AND SUPERORDINATION FOR MULTIVALENT FUNCTIONS ASSOCIATED WITH THE DZIOK-SRIVASTAVA OPERATOR.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 27 100% 4
9 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 21 100% 2
10 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

Classes with closest relation at Level 2


Rank Class id link
1 2042 SUB RIEMANNIAN GEOMETRY//CARNOT GROUPS//LIPSCHITZ DOMAINS
2 2047 NIELSEN NUMBER//MATHEMATICS//TEICHMULLER SPACE
3 2775 JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS
4 1108 COMPOSITION OPERATOR//TOEPLITZ OPERATOR//INTEGRAL EQUATIONS AND OPERATOR THEORY
5 2945 MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY
6 1570 PLURISUBHARMONIC FUNCTION//MATHEMATICS//CR MANIFOLD
7 2523 GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS
8 2653 BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS
9 3335 GEOMETRIC CONSTRAINT SOLVING//EUCLIDEAN DISTANCE MATRICES//INFINITESIMAL RIGIDITY
10 2288 MODULUS OF CONTINUITY//JOURNAL OF APPROXIMATION THEORY//MODULUS OF SMOOTHNESS

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