Class information for:
Level 1: BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
17494 596 18.2 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
549 3       MATHEMATICS//STURM LIOUVILLE OPERATOR//ANNALES HENRI POINCARE 18286
2891 2             BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 2822
17494 1                   BOREL SUMMABILITY//STOKES PHENOMENON//MULTISUMMABILITY 596

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 BOREL SUMMABILITY authKW 889232 5% 64% 27
2 STOKES PHENOMENON authKW 641329 4% 48% 26
3 MULTISUMMABILITY authKW 640403 3% 83% 15
4 BOREL LAPLACE TRANSFORM authKW 377255 2% 82% 9
5 STOKES MULTIPLIER authKW 364648 2% 65% 11
6 GEVREY ESTIMATES authKW 364319 1% 89% 8
7 HYPERASYMPTOTICS authKW 332999 2% 50% 13
8 GEVREY ORDER authKW 307396 1% 100% 6
9 FORMAL SOLUTION authKW 279033 3% 34% 16
10 RESURGENT FUNCTIONS authKW 278930 1% 78% 7

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 14360 66% 0% 396
2 Mathematics, Applied 4884 36% 0% 216
3 Physics, Mathematical 463 8% 0% 50
4 Physics, Multidisciplinary 109 8% 0% 47
5 Automation & Control Systems 97 3% 0% 18
6 Multidisciplinary Sciences 7 1% 0% 5
7 Computer Science, Software Engineering -0 1% 0% 3
8 Education, Scientific Disciplines -0 0% 0% 1
9 Computer Science, Interdisciplinary Applications -0 1% 0% 3
10 Statistics & Probability -1 0% 0% 2

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 UMR 8524 AGAT 102465 0% 100% 2
2 ALGEBRA ANAL MATEMAT GEOMETRIA TOPOL 98518 1% 38% 5
3 ANAL MATEMAT DIDACT MATEMAT 76846 1% 50% 3
4 ABT MATH V 51233 0% 100% 1
5 ALGEBRA ANALISIS MATEMAT GEOMETRIA TOPOL 51233 0% 100% 1
6 ANAL MAT DIDACT MATEMAT 51233 0% 100% 1
7 ANAL MATEMATIMUVA 51233 0% 100% 1
8 DPT MATEMAT LICADA FUNDAMENTAL 51233 0% 100% 1
9 DPTO ANAL MATEMAT DIDACT MATEMAT 51233 0% 100% 1
10 EDIFICIO ENERGIA 51233 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 JOURNAL OF DYNAMICAL AND CONTROL SYSTEMS 38749 3% 4% 18
2 FUNKCIALAJ EKVACIOJ-SERIO INTERNACIA 38447 2% 5% 14
3 PUBLICATIONS OF THE RESEARCH INSTITUTE FOR MATHEMATICAL SCIENCES 34358 5% 2% 29
4 ANNALES DE L INSTITUT FOURIER 22659 5% 1% 31
5 JOURNAL OF THE MATHEMATICAL SOCIETY OF JAPAN 11731 3% 1% 20
6 ASYMPTOTIC ANALYSIS 11074 3% 1% 16
7 JOURNAL OF DIFFERENTIAL EQUATIONS 7252 5% 0% 32
8 ANALYSIS AND APPLICATIONS 5663 1% 2% 6
9 PROCEEDINGS OF THE JAPAN ACADEMY SERIES A-MATHEMATICAL SCIENCES 5094 3% 1% 15
10 PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 4554 3% 0% 19

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 BOREL SUMMABILITY 889232 5% 64% 27 Search BOREL+SUMMABILITY Search BOREL+SUMMABILITY
2 STOKES PHENOMENON 641329 4% 48% 26 Search STOKES+PHENOMENON Search STOKES+PHENOMENON
3 MULTISUMMABILITY 640403 3% 83% 15 Search MULTISUMMABILITY Search MULTISUMMABILITY
4 BOREL LAPLACE TRANSFORM 377255 2% 82% 9 Search BOREL+LAPLACE+TRANSFORM Search BOREL+LAPLACE+TRANSFORM
5 STOKES MULTIPLIER 364648 2% 65% 11 Search STOKES+MULTIPLIER Search STOKES+MULTIPLIER
6 GEVREY ESTIMATES 364319 1% 89% 8 Search GEVREY+ESTIMATES Search GEVREY+ESTIMATES
7 HYPERASYMPTOTICS 332999 2% 50% 13 Search HYPERASYMPTOTICS Search HYPERASYMPTOTICS
8 GEVREY ORDER 307396 1% 100% 6 Search GEVREY+ORDER Search GEVREY+ORDER
9 FORMAL SOLUTION 279033 3% 34% 16 Search FORMAL+SOLUTION Search FORMAL+SOLUTION
10 RESURGENT FUNCTIONS 278930 1% 78% 7 Search RESURGENT+FUNCTIONS Search RESURGENT+FUNCTIONS

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 LASTRA, A , MALEK, S , SANZ, J , (2015) SUMMABILITY IN GENERAL CARLEMAN ULTRAHOLOMORPHIC CLASSES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 430. ISSUE 2. P. 1175 -1206 23 85% 0
2 JIMENEZ-GARRIDO, J , SANZ, J , (2016) STRONGLY REGULAR SEQUENCES AND PROXIMATE ORDERS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 438. ISSUE 2. P. 920 -945 23 82% 0
3 MICHALIK, S , PODHAJECKA, B , (2016) THE STOKES PHENOMENON FOR CERTAIN PARTIAL DIFFERENTIAL EQUATIONS WITH MEROMORPHIC INITIAL DATA.ASYMPTOTIC ANALYSIS. VOL. 99. ISSUE 3-4. P. 163 -182 18 100% 0
4 RAMIS, JP , SAULOY, J , ZHANG, CG , (2013) LOCAL ANALYTIC CLASSIFICATION OF Q-DIFFERENCE EQUATIONS.ASTERISQUE. VOL. . ISSUE 355. P. 1-+ 18 95% 1
5 DREYFUS, T , (2015) BUILDING MEROMORPHIC SOLUTIONS OF Q-DIFFERENCE EQUATIONS USING A BOREL-LAPLACE SUMMATION.INTERNATIONAL MATHEMATICS RESEARCH NOTICES. VOL. . ISSUE 15. P. 6562 -6587 17 85% 1
6 TAHARA, H , YAMAZAWA, H , (2013) MULTISUMMABILITY OF FORMAL SOLUTIONS TO THE CAUCHY PROBLEM FOR SOME LINEAR PARTIAL DIFFERENTIAL EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 255. ISSUE 10. P. 3592-3637 17 85% 7
7 HOWLS, CJ , OLDE DAALHUIS, AB , (2012) EXPONENTIALLY ACCURATE SOLUTION TRACKING FOR NONLINEAR ODES, THE HIGHER ORDER STOKES PHENOMENON AND DOUBLE TRANSSERIES RESUMMATION.NONLINEARITY. VOL. 25. ISSUE 6. P. 1559 -1584 17 89% 1
8 LASTRA, A , MALEK, S , (2015) ON PARAMETRIC MULTILEVEL Q-GEVREY ASYMPTOTICS FOR SOME LINEAR Q-DIFFERENCE-DIFFERENTIAL EQUATIONS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 14 100% 0
9 OLDE DAALHUIS, AB , (2009) HYPERASYMPTOTICS AND HYPERTERMINANTS: EXCEPTIONAL CASES.JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS. VOL. 233. ISSUE 2. P. 555 -563 15 100% 1
10 DREYFUS, T , (2015) Q-DEFORMATION OF MEROMORPHIC SOLUTIONS OF LINEAR DIFFERENTIAL EQUATIONS.JOURNAL OF DIFFERENTIAL EQUATIONS. VOL. 259. ISSUE 11. P. 5734 -5768 13 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 14226 P EVOLUTION EQUATIONS//JOURNAL OF MATHEMATICS OF KYOTO UNIVERSITY//GEVREY WELL POSEDNESS
2 29966 PEARCEY INTEGRAL//SPATIAL DIVISION TRANSMISSION//TWO RAY GROUND REFLECTION
3 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
4 21228 SYMBOLIC SUMMATION//SYMBOL COMPUTAT//BOROS MOLL POLYNOMIALS
5 9284 PAINLEVE EQUATIONS//ISOMONODROMIC DEFORMATIONS//PAINLEVE HIERARCHY
6 16933 CANARDS//MIXED MODE OSCILLATIONS//SLOW FAST SYSTEM
7 16080 DIFFERENTIAL GALOIS THEORY//NON INTEGRABILITY//DIFFERENTIAL GALOIS GROUP
8 35952 STANDARD NORMAL//ACCURACY OF APPROXIMATIONS//ALTERNATIVE TO RAO BLACKWELLIZATION
9 13158 D MODULES//HYPERGEOMETRIC SYSTEMS//D MODULE
10 13318 STAT MECH MATH PHYS//STAT MECH MATH PHYS THEORET CHEM//ANNALES DE L INSTITUT HENRI POINCARE-PHYSIQUE THEORIQUE

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