Class information for: |
Basic class information |
Class id | #P | Avg. number of references |
Database coverage of references |
---|---|---|---|
664 | 10322 | 17.3 | 35% |
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 |
2775 | 2 | JULIA SET//MANDELBROT SET//FRACTAL INTERPOLATION FUNCTIONS | 3137 |
2945 | 2 | MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY | 2689 |
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 | MEROMORPHIC FUNCTION | authKW | 892735 | 3% | 85% | 357 |
2 | UNIVALENT FUNCTIONS | authKW | 837079 | 3% | 87% | 325 |
3 | ANALYTIC FUNCTIONS | authKW | 824816 | 5% | 56% | 499 |
4 | STARLIKE FUNCTIONS | authKW | 746448 | 3% | 93% | 272 |
5 | MEROMORPHIC FUNCTIONS | authKW | 624020 | 2% | 85% | 247 |
6 | NEVANLINNA THEORY | authKW | 529396 | 2% | 93% | 193 |
7 | JULIA SET | authKW | 483377 | 2% | 67% | 244 |
8 | NORMAL FAMILY | authKW | 475439 | 2% | 90% | 178 |
9 | DIFFERENTIAL SUBORDINATION | authKW | 472552 | 2% | 83% | 193 |
10 | UNIVALENT | authKW | 348599 | 1% | 89% | 133 |
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 | 274809 | 70% | 1% | 7200 |
2 | Mathematics, Applied | 80634 | 35% | 1% | 3656 |
3 | Mathematics, Interdisciplinary Applications | 2087 | 4% | 0% | 380 |
4 | Computer Science, Software Engineering | 1283 | 3% | 0% | 316 |
5 | Physics, Mathematical | 910 | 3% | 0% | 343 |
6 | Computer Science, Theory & Methods | 126 | 2% | 0% | 173 |
7 | Computer Science, Artificial Intelligence | 106 | 1% | 0% | 153 |
8 | Multidisciplinary Sciences | 99 | 1% | 0% | 82 |
9 | Microscopy | 44 | 0% | 0% | 35 |
10 | Engineering, Electrical & Electronic | 27 | 4% | 0% | 404 |
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 | MATH | 110008 | 39% | 1% | 3993 |
2 | SETS | 57915 | 0% | 85% | 23 |
3 | CHENNAI | 48721 | 0% | 45% | 37 |
4 | CHUOU WARD | 36211 | 0% | 88% | 14 |
5 | MGR KNOWLEDGE CITY | 34164 | 0% | 68% | 17 |
6 | CHEBOTAREV | 30404 | 0% | 86% | 12 |
7 | BEIJING INFORMAT SERV ENGN | 20322 | 0% | 40% | 17 |
8 | MATH SCI | 18833 | 7% | 1% | 744 |
9 | MATH SEMINAR | 16988 | 1% | 10% | 59 |
10 | AVIAT SPACE SCI | 11825 | 0% | 100% | 4 |
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 | 176785 | 2% | 24% | 255 |
2 | COMPLEX VARIABLES AND ELLIPTIC EQUATIONS | 80032 | 1% | 18% | 153 |
3 | JOURNAL D ANALYSE MATHEMATIQUE | 65808 | 2% | 14% | 162 |
4 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 48092 | 6% | 3% | 589 |
5 | FRACTALS-COMPLEX GEOMETRY PATTERNS AND SCALING IN NATURE AND SOCIETY | 43291 | 1% | 11% | 130 |
6 | ANNALES POLONICI MATHEMATICI | 31091 | 1% | 14% | 78 |
7 | KODAI MATHEMATICAL JOURNAL | 26319 | 1% | 16% | 56 |
8 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 26154 | 4% | 2% | 389 |
9 | ERGODIC THEORY AND DYNAMICAL SYSTEMS | 21884 | 1% | 6% | 134 |
10 | JOURNAL OF INEQUALITIES AND APPLICATIONS | 19896 | 1% | 5% | 150 |
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 | MEROMORPHIC FUNCTION | 892735 | 3% | 85% | 357 | Search MEROMORPHIC+FUNCTION | Search MEROMORPHIC+FUNCTION |
2 | UNIVALENT FUNCTIONS | 837079 | 3% | 87% | 325 | Search UNIVALENT+FUNCTIONS | Search UNIVALENT+FUNCTIONS |
3 | ANALYTIC FUNCTIONS | 824816 | 5% | 56% | 499 | Search ANALYTIC+FUNCTIONS | Search ANALYTIC+FUNCTIONS |
4 | STARLIKE FUNCTIONS | 746448 | 3% | 93% | 272 | Search STARLIKE+FUNCTIONS | Search STARLIKE+FUNCTIONS |
5 | MEROMORPHIC FUNCTIONS | 624020 | 2% | 85% | 247 | Search MEROMORPHIC+FUNCTIONS | Search MEROMORPHIC+FUNCTIONS |
6 | NEVANLINNA THEORY | 529396 | 2% | 93% | 193 | Search NEVANLINNA+THEORY | Search NEVANLINNA+THEORY |
7 | JULIA SET | 483377 | 2% | 67% | 244 | Search JULIA+SET | Search JULIA+SET |
8 | NORMAL FAMILY | 475439 | 2% | 90% | 178 | Search NORMAL+FAMILY | Search NORMAL+FAMILY |
9 | DIFFERENTIAL SUBORDINATION | 472552 | 2% | 83% | 193 | Search DIFFERENTIAL+SUBORDINATION | Search DIFFERENTIAL+SUBORDINATION |
10 | UNIVALENT | 348599 | 1% | 89% | 133 | Search UNIVALENT | Search UNIVALENT |
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 | SCHLEICHER, D , (2010) DYNAMICS OF ENTIRE FUNCTIONS.HOLOMORPHIC DYNAMICAL SYSTEMS. VOL. 1998. ISSUE . P. 295 -339 | 65 | 97% | 6 |
2 | 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 |
3 | VITULANO, D , (2005) FRACTAL ENCODING.ADVANCES IN IMAGING AND ELECTRON PHYSICS, VOL 134. VOL. 134. ISSUE . P. 113 -179 | 59 | 86% | 0 |
4 | OSBORNE, JW , SIXSMITH, DJ , (2016) ON THE SET WHERE THE ITERATES OF AN ENTIRE FUNCTION ARE NEITHER ESCAPING NOR BOUNDED.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 41. ISSUE 2. P. 561 -578 | 30 | 100% | 1 |
5 | ASHISH , RANI, M , CHUGH, R , (2014) JULIA SETS AND MANDELBROT SETS IN NOOR ORBIT.APPLIED MATHEMATICS AND COMPUTATION. VOL. 228. ISSUE . P. 615 -631 | 34 | 97% | 2 |
6 | REES, M , (2016) ONE HUNDRED YEARS OF COMPLEX DYNAMICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 472. ISSUE 2185. P. - | 51 | 61% | 0 |
7 | 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 |
8 | BERGWEILER, W , (2010) ITERATION OF QUASIREGULAR MAPPINGS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 10. ISSUE 2. P. 455-481 | 35 | 90% | 9 |
9 | RIPPON, PJ , STALLARD, GM , (2012) FAST ESCAPING POINTS OF ENTIRE FUNCTIONS.PROCEEDINGS OF THE LONDON MATHEMATICAL SOCIETY. VOL. 105. ISSUE . P. 787-820 | 29 | 94% | 21 |
10 | 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 |
Classes with closest relation at Level 3 |