Class information for:
Level 1: NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
18858 533 20.7 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
404 3       MATHEMATICS//ORTHOGONAL POLYNOMIALS//MATHEMATICS, APPLIED 29787
1193 2             ORTHOGONAL POLYNOMIALS//JOURNAL OF APPROXIMATION THEORY//JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 9261
18858 1                   NIKISHIN SYSTEMS//MEROMORPHIC APPROXIMATION//HERMITE PADE APPROXIMANTS 533

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 NIKISHIN SYSTEMS authKW 1052671 4% 88% 21
2 MEROMORPHIC APPROXIMATION authKW 645447 2% 87% 13
3 HERMITE PADE APPROXIMANTS authKW 520783 4% 45% 20
4 SPURIOUS POLES authKW 350890 1% 88% 7
5 BAKER GAMMEL WILLS CONJECTURE authKW 343731 1% 100% 6
6 FROISSART DOUBLETS authKW 311901 1% 78% 7
7 NON HERMITIAN ORTHOGONALITY authKW 280709 1% 70% 7
8 MULTIPLE ORTHOGONAL POLYNOMIALS authKW 279447 4% 26% 19
9 CONVERGENCE IN CAPACITY authKW 233922 1% 58% 7
10 CUBIC HERMITE PADE APPROXIMATION authKW 229154 1% 100% 4

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 13434 68% 0% 362
2 Mathematics, Applied 4128 35% 0% 188
3 Physics, Mathematical 182 6% 0% 31
4 Automation & Control Systems 21 2% 0% 9
5 Mathematics, Interdisciplinary Applications 15 2% 0% 9
6 Engineering, General 12 2% 0% 9
7 Literary Reviews 5 0% 0% 1
8 Mechanics 4 2% 0% 11
9 Multidisciplinary Sciences 2 1% 0% 3
10 Computer Science, Theory & Methods 0 1% 0% 5

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 PROJECT ICS 229150 1% 67% 6
2 TEAM ICS 171865 1% 100% 3
3 MATH P PAINLEVE 85930 1% 50% 3
4 FB MATH 2 76383 0% 67% 2
5 ANGEW MATH FUNKTIONALANAL NUMER MATH ABT 57288 0% 100% 1
6 EQUIP MATH PL 57288 0% 100% 1
7 FRE 2222ANO 57288 0% 100% 1
8 GRP T11 57288 0% 100% 1
9 MATH PL ANO 57288 0% 100% 1
10 PL MATH COMPIEGNE 57288 0% 100% 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 CONSTRUCTIVE APPROXIMATION 101586 8% 4% 42
2 JOURNAL OF APPROXIMATION THEORY 94410 14% 2% 75
3 SBORNIK MATHEMATICS 71701 8% 3% 44
4 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 13008 9% 0% 48
5 INVERSE PROBLEMS 11309 5% 1% 26
6 RUSSIAN ACADEMY OF SCIENCES SBORNIK MATHEMATICS 10049 1% 3% 6
7 RUSSIAN MATHEMATICAL SURVEYS 8393 4% 1% 19
8 MATHEMATICAL NOTES 4573 4% 0% 20
9 PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS 4427 2% 1% 9
10 ELECTRONIC TRANSACTIONS ON NUMERICAL ANALYSIS 3619 1% 1% 6

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 NIKISHIN SYSTEMS 1052671 4% 88% 21 Search NIKISHIN+SYSTEMS Search NIKISHIN+SYSTEMS
2 MEROMORPHIC APPROXIMATION 645447 2% 87% 13 Search MEROMORPHIC+APPROXIMATION Search MEROMORPHIC+APPROXIMATION
3 HERMITE PADE APPROXIMANTS 520783 4% 45% 20 Search HERMITE+PADE+APPROXIMANTS Search HERMITE+PADE+APPROXIMANTS
4 SPURIOUS POLES 350890 1% 88% 7 Search SPURIOUS+POLES Search SPURIOUS+POLES
5 BAKER GAMMEL WILLS CONJECTURE 343731 1% 100% 6 Search BAKER+GAMMEL+WILLS+CONJECTURE Search BAKER+GAMMEL+WILLS+CONJECTURE
6 FROISSART DOUBLETS 311901 1% 78% 7 Search FROISSART+DOUBLETS Search FROISSART+DOUBLETS
7 NON HERMITIAN ORTHOGONALITY 280709 1% 70% 7 Search NON+HERMITIAN+ORTHOGONALITY Search NON+HERMITIAN+ORTHOGONALITY
8 MULTIPLE ORTHOGONAL POLYNOMIALS 279447 4% 26% 19 Search MULTIPLE+ORTHOGONAL+POLYNOMIALS Search MULTIPLE+ORTHOGONAL+POLYNOMIALS
9 CONVERGENCE IN CAPACITY 233922 1% 58% 7 Search CONVERGENCE+IN+CAPACITY Search CONVERGENCE+IN+CAPACITY
10 CUBIC HERMITE PADE APPROXIMATION 229154 1% 100% 4 Search CUBIC+HERMITE+PADE+APPROXIMATION Search CUBIC+HERMITE+PADE+APPROXIMATION

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 APTEKAREV, AI , BUSLAEV, VI , MARTINEZ-FINKELSHTEIN, A , SUETIN, SP , (2011) PADE APPROXIMANTS, CONTINUED FRACTIONS, AND ORTHOGONAL POLYNOMIALS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 6. P. 1049 -1131 47 64% 13
2 SUETIN, SP , (2015) DISTRIBUTION OF THE ZEROS OF PADE POLYNOMIALS AND ANALYTIC CONTINUATION.RUSSIAN MATHEMATICAL SURVEYS. VOL. 70. ISSUE 5. P. 901 -951 36 62% 4
3 KOVACHEVA, RK , SUETIN, SP , (2014) DISTRIBUTION OF ZEROS OF THE HERMITE-PAD, POLYNOMIALS FOR A SYSTEM OF THREE FUNCTIONS, AND THE NUTTALL CONDENSER.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 284. ISSUE 1. P. 168-191 24 100% 1
4 BARATCHART, L , YATTSELEV, ML , (2013) PADE APPROXIMANTS TO CERTAIN ELLIPTIC-TYPE FUNCTIONS.JOURNAL D ANALYSE MATHEMATIQUE. VOL. 121. ISSUE . P. 31-86 22 92% 0
5 RAKHMANOV, EA , (2016) THE GONCHAR-STAHL RHO(2)-THEOREM AND ASSOCIATED DIRECTIONS IN THE THEORY OF RATIONAL APPROXIMATIONS OF ANALYTIC FUNCTIONS.SBORNIK MATHEMATICS. VOL. 207. ISSUE 9. P. 1236 -1266 20 83% 0
6 RAKHMANOV, EA , SUETIN, SP , (2013) THE DISTRIBUTION OF THE ZEROS OF THE HERMITE-PADE POLYNOMIALS FOR A PAIR OF FUNCTIONS FORMING A NIKISHIN SYSTEM.SBORNIK MATHEMATICS. VOL. 204. ISSUE 9. P. 1347 -1390 21 81% 7
7 IKONOMOV, NR , KOVACHEVA, RK , SUETIN, SP , (2015) NUTTALL'S INTEGRAL EQUATION AND BERNSHTEIN'S ASYMPTOTIC FORMULA FOR A COMPLEX WEIGHT.IZVESTIYA MATHEMATICS. VOL. 79. ISSUE 6. P. 1215 -1234 15 100% 0
8 BUSLAEV, VI , SUETIN, SP , (2016) ON THE EXISTENCE OF COMPACTA OF MINIMAL CAPACITY IN THE THEORY OF RATIONAL APPROXIMATION OF MULTI-VALUED ANALYTIC FUNCTIONS.JOURNAL OF APPROXIMATION THEORY. VOL. 206. ISSUE . P. 48 -67 12 86% 5
9 GONCHAR, AA , RAKHMANOV, EA , SUETIN, SP , (2011) PADE-CHEBYSHEV APPROXIMANTS OF MULTIVALUED ANALYTIC FUNCTIONS, VARIATION OF EQUILIBRIUM ENERGY, AND THE S-PROPERTY OF STATIONARY COMPACT SETS.RUSSIAN MATHEMATICAL SURVEYS. VOL. 66. ISSUE 6. P. 1015 -1048 21 70% 3
10 BUSLAEV, VI , SUETIN, SP , (2015) ON EQUILIBRIUM PROBLEMS RELATED TO THE DISTRIBUTION OF ZEROS OF THE HERMITE-PAD, POLYNOMIALS.PROCEEDINGS OF THE STEKLOV INSTITUTE OF MATHEMATICS. VOL. 290. ISSUE 1. P. 256 -263 12 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 23180 BIEBERBACH POLYNOMIALS//QUASICONFORMAL CURVE//BERGMAN ORTHOGONAL POLYNOMIALS
2 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
3 16438 ORTHOGONAL RATIONAL FUNCTIONS//SZEGO POLYNOMIALS//ORTHOGONAL LAURENT POLYNOMIALS
4 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
5 13310 DATA COMPLETION//CAUCHY PROBLEM//ROBIN INVERSE PROBLEM
6 15853 CONVERGENCE ACCELERATION//MULTIVARIATE PADE APPROXIMANTS//SEQUENCE TRANSFORMATIONS
7 3500 RANDOM MATRICES//RANDOM MATRICES-THEORY AND APPLICATIONS//LIMITING SPECTRAL DISTRIBUTION
8 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM
9 36324 NATURAL SPECTRUM//F M RIESZ THEOREM//SPECTRUM OF MEASURE
10 26206 OPTIMAL RECOVERY//UNIFORMLY DISTRIBUTED GRIDS//THEORET MATH SCI COMPUTAT

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