Class information for:
Level 1: UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12595 894 16.3 33%


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
12595 1                   UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES 894

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 UNIFORM ASYMPTOTIC EXPANSION authKW 672554 4% 62% 32
2 ZEROS authKW 585017 10% 19% 88
3 TURAN TYPE INEQUALITIES authKW 561733 3% 66% 25
4 INTERLACING OF ZEROS authKW 378324 1% 92% 12
5 HADAMARD EXPANSIONS authKW 310493 1% 91% 10
6 NUMERICAL EVALUATION OF SPECIAL FUNCTIONS authKW 310493 1% 91% 10
7 MELLIN CONVOLUTION INTEGRALS authKW 239081 1% 100% 7
8 PARABOLIC CYLINDER FUNCTIONS authKW 213768 1% 48% 13
9 LAPLACE TYPE INTEGRALS authKW 204926 1% 100% 6
10 GLOBAL ASYMPTOTICS authKW 197601 1% 64% 9

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, Applied 23008 63% 0% 564
2 Mathematics 7952 41% 0% 367
3 Physics, Mathematical 1059 10% 0% 91
4 Computer Science, Interdisciplinary Applications 412 6% 0% 57
5 Computer Science, Software Engineering 58 2% 0% 21
6 Statistics & Probability 3 1% 0% 9
7 Multidisciplinary Sciences 1 0% 0% 4
8 Computer Science, Hardware & Architecture 1 0% 0% 4
9 Engineering, Petroleum 0 0% 0% 1
10 Mechanics -0 1% 0% 9

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 DPTO INGN MATEMAT INFORMAT 128729 1% 54% 7
2 MATEMAT LICADA CC COMPUTAC 102463 0% 100% 3
3 MATEMAT ESTADIST COMPUTAC 94192 3% 11% 26
4 INGN MATEMAT INFORMAT 73162 2% 14% 15
5 CHENNAI SOC ELECT TRANSACT SECUR 68309 0% 100% 2
6 O MATEMAT ESTADIST COMPUT 68309 0% 100% 2
7 O MATEMAT LICADA CIENCIAS COMPUT 68309 0% 100% 2
8 EDIFICIO LA GALIA 45538 0% 67% 2
9 BUSINESS INFORMAT MATH MODELS ECON 34154 0% 100% 1
10 DPT INGN MATEMAT INFORMAT 34154 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 ANALYSIS AND APPLICATIONS 60488 3% 7% 24
2 JOURNAL OF APPROXIMATION THEORY 37172 7% 2% 61
3 JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS 35768 12% 1% 103
4 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 21436 3% 2% 28
5 SIAM JOURNAL ON MATHEMATICAL ANALYSIS 20437 5% 1% 47
6 CONSTRUCTIVE APPROXIMATION 9897 2% 2% 17
7 ACM TRANSACTIONS ON MATHEMATICAL SOFTWARE 7519 2% 1% 16
8 COMPUTER PHYSICS COMMUNICATIONS 7321 4% 1% 40
9 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 5213 6% 0% 57
10 MATHEMATICS OF COMPUTATION 4920 3% 1% 24

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 UNIFORM ASYMPTOTIC EXPANSION 672554 4% 62% 32 Search UNIFORM+ASYMPTOTIC+EXPANSION Search UNIFORM+ASYMPTOTIC+EXPANSION
2 ZEROS 585017 10% 19% 88 Search ZEROS Search ZEROS
3 TURAN TYPE INEQUALITIES 561733 3% 66% 25 Search TURAN+TYPE+INEQUALITIES Search TURAN+TYPE+INEQUALITIES
4 INTERLACING OF ZEROS 378324 1% 92% 12 Search INTERLACING+OF+ZEROS Search INTERLACING+OF+ZEROS
5 HADAMARD EXPANSIONS 310493 1% 91% 10 Search HADAMARD+EXPANSIONS Search HADAMARD+EXPANSIONS
6 NUMERICAL EVALUATION OF SPECIAL FUNCTIONS 310493 1% 91% 10 Search NUMERICAL+EVALUATION+OF+SPECIAL+FUNCTIONS Search NUMERICAL+EVALUATION+OF+SPECIAL+FUNCTIONS
7 MELLIN CONVOLUTION INTEGRALS 239081 1% 100% 7 Search MELLIN+CONVOLUTION+INTEGRALS Search MELLIN+CONVOLUTION+INTEGRALS
8 PARABOLIC CYLINDER FUNCTIONS 213768 1% 48% 13 Search PARABOLIC+CYLINDER+FUNCTIONS Search PARABOLIC+CYLINDER+FUNCTIONS
9 LAPLACE TYPE INTEGRALS 204926 1% 100% 6 Search LAPLACE+TYPE+INTEGRALS Search LAPLACE+TYPE+INTEGRALS
10 GLOBAL ASYMPTOTICS 197601 1% 64% 9 Search GLOBAL+ASYMPTOTICS Search GLOBAL+ASYMPTOTICS

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 GIL, A , SEGURA, J , TEMME, NM , (2014) RECENT SOFTWARE DEVELOPMENTS FOR SPECIAL FUNCTIONS IN THE SANTANDER-AMSTERDAM PROJECT.SCIENCE OF COMPUTER PROGRAMMING. VOL. 90. ISSUE . P. 42 -54 31 79% 0
2 DRIVER, K , JORDAAN, K , (2013) INEQUALITIES FOR EXTREME ZEROS OF SOME CLASSICAL ORTHOGONAL AND Q-ORTHOGONAL POLYNOMIALS.MATHEMATICAL MODELLING OF NATURAL PHENOMENA. VOL. 8. ISSUE 1. P. 48 -59 26 90% 1
3 ELBERT, A , (2001) SOME RECENT RESULTS ON THE ZEROS OF BESSEL FUNCTIONS AND ORTHOGONAL POLYNOMIALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 133. ISSUE 1-2. P. 65-83 32 89% 36
4 KERIMOV, MK , (2016) STUDIES ON THE ZEROS OF BESSEL FUNCTIONS AND METHODS FOR THEIR COMPUTATION: 3. SOME NEW WORKS ON MONOTONICITY, CONVEXITY, AND OTHER PROPERTIES.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 12. P. 1949 -1991 21 95% 0
5 KERIMOV, MK , (2016) STUDIES ON THE ZEROS OF BESSEL FUNCTIONS AND METHODS FOR THEIR COMPUTATION: 2. MONOTONICITY, CONVEXITY, CONCAVITY, AND OTHER PROPERTIES.COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS. VOL. 56. ISSUE 7. P. 1175 -1208 18 100% 0
6 DRIVER, K , MULDOON, ME , (2014) ZEROS OF PSEUDO-ULTRASPHERICAL POLYNOMIALS.ANALYSIS AND APPLICATIONS. VOL. 12. ISSUE 5. P. 563 -581 16 100% 0
7 JORDAAN, K , WANG, H , ZHOU, J , (2014) MONOTONICITY OF ZEROS OF POLYNOMIALS ORTHOGONAL WITH RESPECT TO AN EVEN WEIGHT FUNCTION.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 25. ISSUE 9. P. 721 -729 17 81% 0
8 DOMINICI, D , JOHNSTON, SJ , JORDAAN, K , (2013) REAL ZEROS OF F-2(1) HYPERGEOMETRIC POLYNOMIALS.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 247. ISSUE . P. 152-161 15 94% 0
9 ZHOU, JR , SRIVASTAVA, HM , WANG, ZG , (2012) ASYMPTOTIC DISTRIBUTIONS OF THE ZEROS OF A FAMILY OF HYPERGEOMETRIC POLYNOMIALS.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. VOL. 140. ISSUE 7. P. 2333 -2346 16 89% 2
10 SHI, W , WONG, R , (2009) HYPERASYMPTOTIC EXPANSIONS OF THE MODIFIED BESSEL FUNCTION OF THE THIRD KIND OF PURELY IMAGINARY ORDER.ASYMPTOTIC ANALYSIS. VOL. 63. ISSUE 1-2. P. 101 -123 15 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
2 17494 BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY
3 29966 PEARCEY INTEGRAL//SPATIAL DIVISION TRANSMISSION//TWO RAY GROUND REFLECTION
4 13296 FREUD WEIGHTS//HERMITE FEJER INTERPOLATION//ERDOS WEIGHTS
5 27990 DOUBLY NONCENTRAL//GEOMETRIC REPRESENTATION FORMULAE//NONCENTRAL BETA DISTRIBUTION
6 19460 LAGUERRE POLYA CLASS//SCHUR SZEGO COMPOSITION//MULTIPLIER SEQUENCES
7 29485 MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE
8 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
9 15602 REMAINDER TERM FOR ANALYTIC FUNCTIONS//THE METHOD OF UNDETERMINED COEFFICIENT//OSCILLATORY INTEGRALS
10 32293 AUTOCONVOLUTION EQUATIONS//OSTROVSKY EQUATION//OSTROVSKY HUNTER EQUATION

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