Class information for:
Level 1: BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23180 355 14.9 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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
23180 1                   BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS 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 BIEBERBACH POLYNOMIALS authKW 952773 3% 92% 12
2 QUASICONFORMAL CURVE authKW 614383 3% 71% 10
3 BERGMAN ORTHOGONAL POLYNOMIALS authKW 516086 2% 100% 6
4 FABER POLYNOMIALS authKW 407486 5% 28% 17
5 BERGMAN POLYNOMIALS authKW 344058 1% 100% 4
6 BERNSTEIN CONSTANT authKW 344058 1% 100% 4
7 MULTIPOLE SERIES EXPANSION authKW 344058 1% 100% 4
8 FABER OPERATOR authKW 275245 1% 80% 4
9 LEHRSTUHL MATH ANGEW MATH address 258043 1% 100% 3
10 M1 MAXIMAL CONVERGENCE authKW 258043 1% 100% 3

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 9877 71% 0% 253
2 Mathematics, Applied 2096 31% 0% 110
3 Physics, Mathematical 88 5% 0% 18
4 Computer Science, Interdisciplinary Applications 53 4% 0% 14
5 Telecommunications 18 3% 0% 9
6 Computer Science, Theory & Methods 7 2% 0% 7
7 Computer Science, Software Engineering 3 1% 0% 4
8 Remote Sensing 0 0% 0% 1
9 Mathematics, Interdisciplinary Applications 0 1% 0% 2
10 Multidisciplinary Sciences 0 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 LEHRSTUHL MATH ANGEW MATH 258043 1% 100% 3
2 MATH GEOG FAK 175116 4% 16% 13
3 ELECT EM THEORY LICAT 86014 0% 100% 1
4 HBERIECH 4 86014 0% 100% 1
5 INAT BIOMATH BIOMETRIE 86014 0% 100% 1
6 PL MATH COMPUTAT GRP 86014 0% 100% 1
7 CONSTRUCT MATH 51604 1% 20% 3
8 NEW HORIZON ENGN 43006 0% 50% 1
9 CONSTRUCT PROXIMAT 37066 1% 9% 5
10 ABT DYNAM SYST PROXIMAT THEORIE 28668 1% 17% 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 CONSTRUCTIVE APPROXIMATION 118393 10% 4% 37
2 JOURNAL OF APPROXIMATION THEORY 116572 19% 2% 68
3 LECTURE NOTES IN MATHEMATICS 3456 5% 0% 17
4 MATHEMATICS OF THE USSR-SBORNIK 1967 1% 1% 4
5 COMPUTER PHYSICS COMMUNICATIONS 1943 4% 0% 13
6 IZVESTIYA AKADEMII NAUK AZERBAIDZHANSKOI SSR SERIYA FIZIKO-TEKHNICHESKIKH I MATEMATICHESKIKH NAUK 1909 0% 2% 1
7 MATHEMATICS OF COMPUTATION 1741 3% 0% 9
8 MATHEMATICS OF THE USSR-IZVESTIYA 1571 1% 1% 3
9 UKRAINIAN MATHEMATICAL JOURNAL 1404 1% 0% 4
10 BULLETIN OF THE AUSTRALIAN MATHEMATICAL SOCIETY 1258 2% 0% 7

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 BIEBERBACH POLYNOMIALS 952773 3% 92% 12 Search BIEBERBACH+POLYNOMIALS Search BIEBERBACH+POLYNOMIALS
2 QUASICONFORMAL CURVE 614383 3% 71% 10 Search QUASICONFORMAL+CURVE Search QUASICONFORMAL+CURVE
3 BERGMAN ORTHOGONAL POLYNOMIALS 516086 2% 100% 6 Search BERGMAN+ORTHOGONAL+POLYNOMIALS Search BERGMAN+ORTHOGONAL+POLYNOMIALS
4 FABER POLYNOMIALS 407486 5% 28% 17 Search FABER+POLYNOMIALS Search FABER+POLYNOMIALS
5 BERGMAN POLYNOMIALS 344058 1% 100% 4 Search BERGMAN+POLYNOMIALS Search BERGMAN+POLYNOMIALS
6 BERNSTEIN CONSTANT 344058 1% 100% 4 Search BERNSTEIN+CONSTANT Search BERNSTEIN+CONSTANT
7 MULTIPOLE SERIES EXPANSION 344058 1% 100% 4 Search MULTIPOLE+SERIES+EXPANSION Search MULTIPOLE+SERIES+EXPANSION
8 FABER OPERATOR 275245 1% 80% 4 Search FABER+OPERATOR Search FABER+OPERATOR
9 M1 MAXIMAL CONVERGENCE 258043 1% 100% 3 Search M1+MAXIMAL+CONVERGENCE Search M1+MAXIMAL+CONVERGENCE
10 ALTERNATING SET 238924 1% 56% 5 Search ALTERNATING+SET Search ALTERNATING+SET

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 DRAGNEV, P , MINA-DIAZ, E , NORTHINGTON, M , (2013) ASYMPTOTICS OF CARLEMAN POLYNOMIALS FOR LEVEL CURVES OF THE INVERSE OF A SHIFTED ZHUKOVSKY TRANSFORMATION.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 13. ISSUE 1. P. 75-89 11 85% 0
2 ANDRIEVSKII, VV , BLATT, HP , KOVACHEVA, RK , (2012) ON THE DISTRIBUTION OF ZEROS AND POLES OF RATIONAL APPROXIMANTS ON INTERVALS.ABSTRACT AND APPLIED ANALYSIS. VOL. . ISSUE . P. - 9 100% 0
3 LUBINSKY, DS , (2007) ON THE BERNSTEIN CONSTANTS OF POLYNOMIAL APPROXIMATION.CONSTRUCTIVE APPROXIMATION. VOL. 25. ISSUE 3. P. 303 -366 8 100% 5
4 GANZBURG, MI , (2003) STRONG ASYMPTOTICS IN LAGRANGE INTERPOLATION WITH EQUIDISTANT NODES.JOURNAL OF APPROXIMATION THEORY. VOL. 122. ISSUE 2. P. 224-240 9 100% 3
5 MINA-DIAZ, E , (2009) ON THE ASYMPTOTIC BEHAVIOR OF FABER POLYNOMIALS FOR DOMAINS WITH PIECEWISE ANALYTIC BOUNDARY.CONSTRUCTIVE APPROXIMATION. VOL. 29. ISSUE 3. P. 421 -448 9 82% 2
6 ZHANG, J , (1996) SYMBOLIC COMPUTATION ON COMPLEX POLYNOMIAL SOLUTION OF DIFFERENTIAL EQUATIONS.JOURNAL OF SYMBOLIC COMPUTATION. VOL. 22. ISSUE 3. P. 345-354 11 100% 3
7 ZHANG, J , (1996) A NOTE ON THE TAN-METHOD APPROXIMATIONS FOR THE BESSEL FUNCTIONS Y-0(Z) AND Y-1(Z).COMPUTERS & MATHEMATICS WITH APPLICATIONS. VOL. 31. ISSUE 9. P. 63-70 14 78% 1
8 DRAGNEV, P , MINA-DIAZ, E , (2010) ASYMPTOTIC BEHAVIOR AND ZERO DISTRIBUTION OF CARLEMAN ORTHOGONAL POLYNOMIALS.JOURNAL OF APPROXIMATION THEORY. VOL. 162. ISSUE 11. P. 1982-2003 7 100% 1
9 MINA-DIAZ, E , (2015) ON THE LEADING COEFFICIENT OF POLYNOMIALS ORTHOGONAL OVER DOMAINS WITH CORNERS.NUMERICAL ALGORITHMS. VOL. 70. ISSUE 1. P. 1 -8 6 100% 1
10 GANZBURG, MI , (2008) POLYNOMIAL INTERPOLATION, AN L-FUNCTION, AND POINTWISE APPROXIMATION OF CONTINUOUS FUNCTIONS.JOURNAL OF APPROXIMATION THEORY. VOL. 153. ISSUE 1. P. 1 -18 8 89% 2

Classes with closest relation at Level 1


Rank Class id link
1 18858 NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS
2 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
3 23990 MINIMAL PROJECTION//PROJECTION CONSTANTS//COMONOTONE APPROXIMATION
4 18918 NUMERICAL CONFORMAL MAPPING//GENERALIZED NEUMANN KERNEL//SCHWARZ CHRISTOFFEL TRANSFORMATION
5 24647 MODULI OF SMOOTHNESS//K FUNCTIONAL//MODULUS OF SMOOTHNESS
6 37400 BEURLING GENERALIZED PRIMES//BEURLING GENERALIZED NUMBERS//CHEBYSHEV PRIME BOUNDS
7 32718 LINEAR POLARIZATION CONSTANTS//POLARIZATION CONSTANT//PRODUCT OF LINEAR FUNCTIONALS
8 36573 HAMILTONIAN SYSTEM OF ORDINARY DIFFERENTIAL EQUATIONS//NONLINEAR SELF ADJOINT EIGENVALUE PROBLEM//REDUNDANT CONDITIONS
9 17152 INEQUALITIES IN THE COMPLEX DOMAIN//MARKOV TYPE INEQUALITY//POLAR DERIVATIVE
10 36431 FM SIGNAL PROCESSING//ANTICOLLISION PROCESSES//ART FRE CNRS

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