Class information for:
Level 1: LAGUERRE POLYA CLASS//SCHUR SZEGO COMPOSITION//MULTIPLIER SEQUENCES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
19460 504 15.8 28%


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
2945 2             MEROMORPHIC FUNCTION//NEVANLINNA THEORY//NORMAL FAMILY 2689
19460 1                   LAGUERRE POLYA CLASS//SCHUR SZEGO COMPOSITION//MULTIPLIER SEQUENCES 504

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 LAGUERRE POLYA CLASS authKW 1127805 4% 85% 22
2 SCHUR SZEGO COMPOSITION authKW 363510 1% 100% 6
3 MULTIPLIER SEQUENCES authKW 329848 1% 78% 7
4 HYPERBOLIC POLYNOMIAL authKW 311566 2% 43% 12
5 DE BRUIJN NEWMAN CONSTANT authKW 302925 1% 100% 5
6 SZEGO CURVE authKW 272629 1% 75% 6
7 SUFFRIDGE POLYNOMIALS authKW 242340 1% 100% 4
8 HALF PLANE PROPERTY authKW 242336 1% 67% 6
9 TURAN INEQUALITY authKW 242332 2% 50% 8
10 STABLE POLYNOMIALS authKW 229072 2% 34% 11

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 19879 85% 0% 426
2 Mathematics, Applied 5740 42% 0% 214
3 Statistics & Probability 42 3% 0% 14
4 Physics, Mathematical 39 3% 0% 16
5 Computer Science, Theory & Methods 19 2% 0% 12
6 Computer Science, Software Engineering 4 1% 0% 6
7 Automation & Control Systems 0 1% 0% 3
8 Multidisciplinary Sciences 0 0% 0% 2
9 Mathematics, Interdisciplinary Applications -1 0% 0% 1
10 Computer Science, Artificial Intelligence -2 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 CIENCIAS COMP ESTATISTICA 60585 0% 100% 1
2 EDIFICIO MATEMAT PLANTA 1 60585 0% 100% 1
3 GRP M9 60585 0% 100% 1
4 RATE PAYER ADVOCATES 60585 0% 100% 1
5 UMR 6621CNRS 60585 0% 100% 1
6 ZUKUNFTSKOLLEG HBEREICH MATH 60585 0% 100% 1
7 CIENCIAS COMPUTACAO ESTAT 26924 0% 22% 2
8 AMSS UTS JOINT 20194 0% 33% 1
9 MATH PHYS SCI GRP 20194 0% 33% 1
10 CIENCIAS COMPUTACAO ESTATISTICA 15145 0% 25% 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 AMERICAN MATHEMATICAL MONTHLY 11838 5% 1% 23
2 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 8373 11% 0% 54
3 CONSTRUCTIVE APPROXIMATION 7353 2% 1% 11
4 COMPUTATIONAL METHODS AND FUNCTION THEORY 6055 0% 5% 2
5 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 6044 8% 0% 41
6 COMBINATORICS PROBABILITY & COMPUTING 4245 2% 1% 8
7 JOURNAL D ANALYSE MATHEMATIQUE 3287 2% 1% 8
8 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 2518 1% 1% 6
9 TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY 2367 4% 0% 19
10 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 2004 2% 0% 10

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 LAGUERRE POLYA CLASS 1127805 4% 85% 22 Search LAGUERRE+POLYA+CLASS Search LAGUERRE+POLYA+CLASS
2 SCHUR SZEGO COMPOSITION 363510 1% 100% 6 Search SCHUR+SZEGO+COMPOSITION Search SCHUR+SZEGO+COMPOSITION
3 MULTIPLIER SEQUENCES 329848 1% 78% 7 Search MULTIPLIER+SEQUENCES Search MULTIPLIER+SEQUENCES
4 HYPERBOLIC POLYNOMIAL 311566 2% 43% 12 Search HYPERBOLIC+POLYNOMIAL Search HYPERBOLIC+POLYNOMIAL
5 DE BRUIJN NEWMAN CONSTANT 302925 1% 100% 5 Search DE+BRUIJN+NEWMAN+CONSTANT Search DE+BRUIJN+NEWMAN+CONSTANT
6 SZEGO CURVE 272629 1% 75% 6 Search SZEGO+CURVE Search SZEGO+CURVE
7 SUFFRIDGE POLYNOMIALS 242340 1% 100% 4 Search SUFFRIDGE+POLYNOMIALS Search SUFFRIDGE+POLYNOMIALS
8 HALF PLANE PROPERTY 242336 1% 67% 6 Search HALF+PLANE+PROPERTY Search HALF+PLANE+PROPERTY
9 TURAN INEQUALITY 242332 2% 50% 8 Search TURAN+INEQUALITY Search TURAN+INEQUALITY
10 STABLE POLYNOMIALS 229072 2% 34% 11 Search STABLE+POLYNOMIALS Search STABLE+POLYNOMIALS

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 CSORDAS, G , (2015) FOURIER TRANSFORMS OF POSITIVE DEFINITE KERNELS AND THE RIEMANN XI-FUNCTION.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 15. ISSUE 3. P. 373 -391 19 95% 0
2 LANGLEY, JK , (2013) THE RECIPROCAL OF A REAL ENTIRE FUNCTION AND NON-REAL ZEROS OF HIGHER DERIVATIVES.ANNALES ACADEMIAE SCIENTIARUM FENNICAE-MATHEMATICA. VOL. 38. ISSUE 2. P. 855-871 19 95% 0
3 LANGLEY, JK , (2013) SECOND ORDER LINEAR DIFFERENTIAL POLYNOMIALS AND REAL MEROMORPHIC FUNCTIONS.RESULTS IN MATHEMATICS. VOL. 63. ISSUE 1-2. P. 151-169 19 90% 0
4 LANGLEY, JK , (2011) NON-REAL ZEROS OF DERIVATIVES OF REAL MEROMORPHIC FUNCTIONS OF INFINITE ORDER.MATHEMATICAL PROCEEDINGS OF THE CAMBRIDGE PHILOSOPHICAL SOCIETY. VOL. 150. ISSUE . P. 343-351 16 84% 3
5 LANGLEY, J , (2012) ZEROS OF DERIVATIVES OF REAL MEROMORPHIC FUNCTIONS.COMPUTATIONAL METHODS AND FUNCTION THEORY. VOL. 12. ISSUE 1. P. 241-256 18 67% 1
6 KIM, MH , KIM, YO , (2016) ON THE POLYA-WIMAN PROPERTIES OF DIFFERENTIAL OPERATORS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 434. ISSUE 2. P. 1091 -1105 11 100% 0
7 LANGLEY, JK , (2011) NON-REAL ZEROS OF REAL DIFFERENTIAL POLYNOMIALS.PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS. VOL. 141. ISSUE . P. 631-639 15 79% 3
8 WAGNER, DG , (2011) MULTIVARIATE STABLE POLYNOMIALS: THEORY AND APPLICATIONS.BULLETIN OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 48. ISSUE 1. P. 53 -84 11 100% 22
9 KETCHESON, D , LOCZI, L , (2015) ON THE ABSOLUTE STABILITY REGIONS CORRESPONDING TO PARTIAL SUMS OF THE EXPONENTIAL FUNCTION.IMA JOURNAL OF NUMERICAL ANALYSIS. VOL. 35. ISSUE 3. P. 1426 -1455 13 81% 0
10 KAHN, J , NEIMAN, M , (2011) A STRONG LOG-CONCAVITY PROPERTY FOR MEASURES ON BOOLEAN ALGEBRAS.JOURNAL OF COMBINATORIAL THEORY SERIES A. VOL. 118. ISSUE 6. P. 1749 -1760 11 100% 1

Classes with closest relation at Level 1


Rank Class id link
1 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
2 35622 REPEAT SPACE THEORY RST//ASYMPTOTIC LINEARITY THEOREM ALT//ADDITIVITY PROBLEMS
3 25860 ESTERMANN ZETA FUNCTION//RIEMANN HYPOTHESIS//COTANGENT SUMS
4 18253 NEVILLE ELIMINATION//TOTALLY POSITIVE MATRICES//TOTALLY POSITIVE MATRIX
5 5126 MEROMORPHIC FUNCTION//NORMAL FAMILY//NEVANLINNA THEORY
6 13892 POSITIVE POLYNOMIALS//POSITIVSTELLENSATZ//SUM OF SQUARES
7 37021 SKEW CIRCULANT//HANKEL CIRCULANT//BACKWARD IDENTITY
8 36533 ARTIFICIAL COLOR//MARGIN SETTING//3 DIMENSIONAL NETWORKS
9 26498 PINSKERS INEQUALITY//COVARIANCE IDENTITY//CHERNOFF TYPE INEQUALITY
10 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS

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