Class information for:
Level 1: PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
28741 200 21.5 29%


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
16 4 ENGINEERING, CIVIL//CONSTRUCTION & BUILDING TECHNOLOGY//MECHANICS 627508
437 3       ENGINEERING ANALYSIS WITH BOUNDARY ELEMENTS//ELECTRICAL IMPEDANCE TOMOGRAPHY//INVERSE PROBLEMS 26987
1984 2             INVERSE PROBLEMS//INVERSE SCATTERING//TOPOLOGICAL DERIVATIVE 5575
28741 1                   PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS 200

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 PSEUDOANALYTIC FUNCTION authKW 1612647 7% 81% 13
2 SPECTRAL PARAMETER POWER SERIES authKW 1612647 7% 81% 13
3 GENERALIZED ANALYTIC FUNCTIONS authKW 1423330 9% 55% 17
4 VEKUA EQUATION authKW 1085702 4% 89% 8
5 ASYMMETRIC STOKES FLOW authKW 458031 2% 100% 3
6 MINIMAX FORMULATION authKW 407136 2% 67% 4
7 WEIGHTED GRADIENT METHOD authKW 348973 2% 57% 4
8 CONSTANT DRAG authKW 305354 1% 100% 2
9 GENERALIZED CAUCHYS INTEGRAL FORMULA authKW 305354 1% 100% 2
10 HILBERT FORMULA authKW 305354 1% 100% 2

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 2510 45% 0% 89
2 Mechanics 594 20% 0% 39
3 Mathematics, Interdisciplinary Applications 440 11% 0% 22
4 Mathematics 343 19% 0% 38
5 Engineering, General 197 8% 0% 16
6 Physics, Fluids & Plasmas 190 8% 0% 16
7 Physics, Mathematical 160 9% 0% 17
8 Operations Research & Management Science 64 5% 0% 9
9 Automation & Control Systems 45 4% 0% 7
10 Computer Science, Interdisciplinary Applications 41 5% 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 MATH DEP FCUL 305354 1% 100% 2
2 UNIDAD QUERETARO 178868 14% 4% 28
3 CNRS UMR 5251 351 152677 1% 100% 1
4 CNRSINRIA MATHUMR 7502 152677 1% 100% 1
5 ESCUELO SUPER FIS MATEMAT 152677 1% 100% 1
6 INRIA BORDEAUX SAD QUEST EQUIPE MC2 152677 1% 100% 1
7 INRIA LILLE NORD EUROPE EQUIPE SIMPAF 152677 1% 100% 1
8 MAESTRIA TECNOL AVANZADAS 152677 1% 100% 1
9 MATH CRIPTOG MECH FST 152677 1% 100% 1
10 MATH POST STUDIES 152677 1% 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 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 7157 7% 0% 13
2 INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS 6306 3% 1% 6
3 LECTURE NOTES IN CONTROL AND INFORMATION SCIENCES 2823 4% 0% 7
4 ROCKY MOUNTAIN JOURNAL OF MATHEMATICS 2486 4% 0% 7
5 SIAM JOURNAL ON APPLIED MATHEMATICS 2161 4% 0% 7
6 MATHEMATICAL ENGINEERING IN INDUSTRY 2089 1% 1% 1
7 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 1749 2% 0% 3
8 APPLICABLE ANALYSIS 1662 2% 0% 4
9 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 1588 2% 0% 3
10 PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES 1353 3% 0% 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 PSEUDOANALYTIC FUNCTION 1612647 7% 81% 13 Search PSEUDOANALYTIC+FUNCTION Search PSEUDOANALYTIC+FUNCTION
2 SPECTRAL PARAMETER POWER SERIES 1612647 7% 81% 13 Search SPECTRAL+PARAMETER+POWER+SERIES Search SPECTRAL+PARAMETER+POWER+SERIES
3 GENERALIZED ANALYTIC FUNCTIONS 1423330 9% 55% 17 Search GENERALIZED+ANALYTIC+FUNCTIONS Search GENERALIZED+ANALYTIC+FUNCTIONS
4 VEKUA EQUATION 1085702 4% 89% 8 Search VEKUA+EQUATION Search VEKUA+EQUATION
5 ASYMMETRIC STOKES FLOW 458031 2% 100% 3 Search ASYMMETRIC+STOKES+FLOW Search ASYMMETRIC+STOKES+FLOW
6 MINIMAX FORMULATION 407136 2% 67% 4 Search MINIMAX+FORMULATION Search MINIMAX+FORMULATION
7 WEIGHTED GRADIENT METHOD 348973 2% 57% 4 Search WEIGHTED+GRADIENT+METHOD Search WEIGHTED+GRADIENT+METHOD
8 CONSTANT DRAG 305354 1% 100% 2 Search CONSTANT+DRAG Search CONSTANT+DRAG
9 GENERALIZED CAUCHYS INTEGRAL FORMULA 305354 1% 100% 2 Search GENERALIZED+CAUCHYS+INTEGRAL+FORMULA Search GENERALIZED+CAUCHYS+INTEGRAL+FORMULA
10 HILBERT FORMULA 305354 1% 100% 2 Search HILBERT+FORMULA Search HILBERT+FORMULA

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 KRAVCHENKO, VV , TORBA, SM , (2015) CONSTRUCTION OF TRANSMUTATION OPERATORS AND HYPERBOLIC PSEUDOANALYTIC FUNCTIONS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 9. ISSUE 2. P. 379 -429 16 100% 0
2 ZABARANKIN, M , (2012) CAUCHY INTEGRAL FORMULA FOR GENERALIZED ANALYTIC FUNCTIONS IN HYDRODYNAMICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 468. ISSUE 2148. P. 3745-3764 13 93% 1
3 ZABARANKIN, M , MOLYBOHA, A , (2011) 3D SHAPE OPTIMIZATION IN VISCOUS INCOMPRESSIBLE FLUID UNDER OSEEN APPROXIMATION.SIAM JOURNAL ON CONTROL AND OPTIMIZATION. VOL. 49. ISSUE 3. P. 1358-1382 11 92% 1
4 ZABARANKIN, M , (2013) MINIMUM-RESISTANCE SHAPES IN LINEAR CONTINUUM MECHANICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 469. ISSUE 2160. P. - 14 64% 1
5 CAMPOS, HM , KRAVCHENKO, VV , (2013) FUNDAMENTALS OF BICOMPLEX PSEUDOANALYTIC FUNCTION THEORY: CAUCHY INTEGRAL FORMULAS, NEGATIVE FORMAL POWERS AND SCHRODINGER EQUATIONS WITH COMPLEX COEFFICIENTS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 7. ISSUE 2. P. 485 -518 10 83% 1
6 ZABARANKIN, M , (2011) GENERALIZED ANALYTIC FUNCTIONS IN MAGNETOHYDRODYNAMICS.PROCEEDINGS OF THE ROYAL SOCIETY A-MATHEMATICAL PHYSICAL AND ENGINEERING SCIENCES. VOL. 467. ISSUE 2136. P. 3343-3370 8 100% 0
7 OKUMURA, H , HIKINO, Y , KAWAHARA, M , (2013) A SHAPE OPTIMISATION METHOD OF A BODY LOCATED IN ADIABATIC FLOWS.INTERNATIONAL JOURNAL OF COMPUTATIONAL FLUID DYNAMICS. VOL. 27. ISSUE 6-7. P. 297-306 11 69% 0
8 KHMELNYTSKAYA, KV , KRAVCHENKO, VV , TORBA, SM , (2016) MODULATED ELECTROMAGNETIC FIELDS IN INHOMOGENEOUS MEDIA, HYPERBOLIC PSEUDOANALYTIC FUNCTIONS, AND TRANSMUTATIONS.JOURNAL OF MATHEMATICAL PHYSICS. VOL. 57. ISSUE 5. P. - 7 100% 0
9 CASTILLO-PEREZ, R , KRAVCHENKO, VV , TORBA, SM , (2013) SPECTRAL PARAMETER POWER SERIES FOR PERTURBED BESSEL EQUATIONS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 220. ISSUE . P. 676-694 10 71% 2
10 ZABARANKIN, M , MOLYBOHA, A , (2010) THREE-DIMENSIONAL SHAPE OPTIMIZATION IN STOKES FLOW PROBLEMS.SIAM JOURNAL ON APPLIED MATHEMATICS. VOL. 70. ISSUE 6. P. 1788-1809 10 77% 2

Classes with closest relation at Level 1


Rank Class id link
1 27842 MEASURE THEORY//EXISTENCE AND CONVERGENCE OF APPROXIMATE SOLUTIONS//EXTERIOR ELECTROMAGNETIC SHAPING
2 32239 ORIENTED DISTANCE FUNCTION//FEATURELESS OBJECTS//CIRCULANT SYMMETRY
3 36049 EXOBASIDIALES//BALLISTOSPORE//EXOBASIDIOMYCETES
4 30597 FREE SPANNING SUBMARINE PIPELINES//GENERALIZED NAGHDI MODEL//MATH MODELLING TECHNOL PROC
5 36844 DEGENERATE QUANTUM BOSE GAS//MOLNIYA DESIGN//ANALYTICAL METHOD FOR SOLVING THE SKIN EFFECT PROBLEM
6 19672 TOPOLOGICAL DERIVATIVE//TOPOLOGICAL SENSITIVITY//TOPOLOGICAL GRADIENT
7 25276 CP METHODS//STURM LIOUVILLE PROBLEM//ASYMPTOTIC CORRECTION
8 20968 TIME SCALING TRANSFORMATION//SAKAWA SHINDO METHOD//CONTAMINANT SIMULATION
9 29847 RADIOSITY EQUATION//SPN APPROXIMATION//SIMPLIFIED P N APPROXIMATIONS
10 30147 CHROMOPERMITTIVITY//PROMPT BREMSSTRAHLUNG//VAVILOV CHERENKOV RADIATION

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