Class information for:
Level 1: CLIFFORD ANALYSIS//CLIFFORD GRP//QUATERNIONIC ANALYSIS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
10665 1043 18.9 25%


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
10 4 OPTICS//PHYSICS, PARTICLES & FIELDS//PHYSICS, MULTIDISCIPLINARY 1131262
506 3       AMERICAN JOURNAL OF PHYSICS//PHYSICS ESSAYS//ADVANCES IN APPLIED CLIFFORD ALGEBRAS 21878
3176 2             CLIFFORD ANALYSIS//CLIFFORD GRP//ADVANCES IN APPLIED CLIFFORD ALGEBRAS 2154
10665 1                   CLIFFORD ANALYSIS//CLIFFORD GRP//QUATERNIONIC ANALYSIS 1043

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 CLIFFORD ANALYSIS authKW 3513477 15% 76% 158
2 CLIFFORD GRP address 2802085 10% 92% 104
3 QUATERNIONIC ANALYSIS authKW 1119740 5% 75% 51
4 MONOGENIC FUNCTIONS authKW 940954 4% 71% 45
5 INFORMAT MATEMAT address 787136 4% 61% 44
6 MATH ANAL address 687848 19% 12% 194
7 ADVANCES IN APPLIED CLIFFORD ALGEBRAS journal 674312 11% 20% 115
8 HERMITIAN CLIFFORD ANALYSIS authKW 497674 2% 100% 17
9 HERMITEAN CLIFFORD ANALYSIS authKW 409849 1% 100% 14
10 SPHERICAL MONOGENICS authKW 322024 1% 100% 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 22875 63% 0% 662
2 Mathematics, Applied 17958 52% 0% 541
3 Physics, Mathematical 3277 16% 0% 168
4 Multidisciplinary Sciences 234 3% 0% 29
5 Computer Science, Software Engineering 0 1% 0% 7
6 Physics, Multidisciplinary -0 2% 0% 20
7 Mathematics, Interdisciplinary Applications -0 0% 0% 5
8 Imaging Science & Photographic Technology -1 0% 0% 1
9 Education, Scientific Disciplines -1 0% 0% 1
10 Computer Science, Artificial Intelligence -1 0% 0% 4

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 CLIFFORD GRP 2802085 10% 92% 104
2 INFORMAT MATEMAT 787136 4% 61% 44
3 MATH ANAL 687848 19% 12% 194
4 SECT ANAL 237125 1% 90% 9
5 HGEBIET MATH 159383 1% 78% 7
6 ARBEITSGRP ALGEBRA 117100 0% 100% 4
7 DEV MATH PLICAT 116401 2% 17% 23
8 MATEMAT ESFM 87825 0% 100% 3
9 ERZIEHUNGSWISSEN FAK 75049 1% 26% 10
10 ESCUELA SUP ING MEC ELEC 58550 0% 100% 2

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 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 674312 11% 20% 115
2 COMPLEX VARIABLES AND ELLIPTIC EQUATIONS 156913 7% 8% 68
3 COMPLEX ANALYSIS AND OPERATOR THEORY 110303 5% 8% 48
4 MATHEMATICAL METHODS IN THE APPLIED SCIENCES 73369 9% 3% 95
5 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 29223 3% 4% 27
6 IZVESTIYA VYSSHIKH UCHEBNYKH ZAVEDENII MATEMATIKA 9885 2% 2% 17
7 BULLETIN OF THE BELGIAN MATHEMATICAL SOCIETY-SIMON STEVIN 8184 2% 2% 18
8 ACTA MATHEMATICA SCIENTIA 6639 2% 1% 24
9 BOUNDARY VALUE PROBLEMS 5595 2% 1% 17
10 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 4577 1% 1% 14

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 CLIFFORD ANALYSIS 3513477 15% 76% 158 Search CLIFFORD+ANALYSIS Search CLIFFORD+ANALYSIS
2 QUATERNIONIC ANALYSIS 1119740 5% 75% 51 Search QUATERNIONIC+ANALYSIS Search QUATERNIONIC+ANALYSIS
3 MONOGENIC FUNCTIONS 940954 4% 71% 45 Search MONOGENIC+FUNCTIONS Search MONOGENIC+FUNCTIONS
4 HERMITIAN CLIFFORD ANALYSIS 497674 2% 100% 17 Search HERMITIAN+CLIFFORD+ANALYSIS Search HERMITIAN+CLIFFORD+ANALYSIS
5 HERMITEAN CLIFFORD ANALYSIS 409849 1% 100% 14 Search HERMITEAN+CLIFFORD+ANALYSIS Search HERMITEAN+CLIFFORD+ANALYSIS
6 SPHERICAL MONOGENICS 322024 1% 100% 11 Search SPHERICAL+MONOGENICS Search SPHERICAL+MONOGENICS
7 CAUCHY POMPEIU FORMULA 292749 1% 100% 10 Search CAUCHY+POMPEIU+FORMULA Search CAUCHY+POMPEIU+FORMULA
8 BICOMPLEX NUMBERS 291021 1% 76% 13 Search BICOMPLEX+NUMBERS Search BICOMPLEX+NUMBERS
9 FISCHER DECOMPOSITION 274852 1% 72% 13 Search FISCHER+DECOMPOSITION Search FISCHER+DECOMPOSITION
10 DISCRETE CLIFFORD ANALYSIS 263474 1% 100% 9 Search DISCRETE+CLIFFORD+ANALYSIS Search DISCRETE+CLIFFORD+ANALYSIS

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 BRACKX, F , DE SCHEPPER, H , LAVICKA, R , (2015) GENERALIZED TAYLOR SERIES IN HERMITIAN CLIFFORD ANALYSIS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 421. ISSUE 2. P. 1531 -1545 21 100% 0
2 BRACKX, F , DE SCHEPPER, H , LAVICKA, R , SOUCEK, V , (2015) EMBEDDING FACTORS FOR BRANCHING IN HERMITIAN CLIFFORD ANALYSIS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 9. ISSUE 2. P. 355 -378 21 100% 0
3 KU, M , KAHLER, U , WANG, DS , (2012) RIEMANN BOUNDARY VALUE PROBLEMS ON THE SPHERE IN CLIFFORD ANALYSIS.ADVANCES IN APPLIED CLIFFORD ALGEBRAS. VOL. 22. ISSUE 2. P. 365-390 16 100% 3
4 HAN, PJ , WANG, YF , (2016) A NOTE ON RIEMANN PROBLEMS FOR SINGLE-PERIODIC POLYANALYTIC FUNCTIONS.MATHEMATISCHE NACHRICHTEN. VOL. 289. ISSUE 13. P. 1594 -1605 14 100% 0
5 WANG, YF , HAN, PJ , WANG, YJ , (2015) ON RIEMANN PROBLEM OF AUTOMORPHIC POLYANALYTIC FUNCTIONS CONNECTED WITH A ROTATION GROUP.COMPLEX VARIABLES AND ELLIPTIC EQUATIONS. VOL. 60. ISSUE 8. P. 1033 -1057 14 100% 0
6 ABREU-BLAYA, R , BORY-REYES, J , BRACKX, F , DE SCHEPPER, H , SOMMEN, F , (2012) A HILBERT TRANSFORM FOR MATRIX FUNCTIONS ON FRACTAL DOMAINS.COMPLEX ANALYSIS AND OPERATOR THEORY. VOL. 6. ISSUE 2. P. 359-372 15 100% 0
7 REN, GB , WANG, HY , (2014) THEORY OF SEVERAL PARAVECTOR VARIABLES: BOCHNER-MARTINELLI FORMULA AND HARTOGS THEOREM.SCIENCE CHINA-MATHEMATICS. VOL. 57. ISSUE 11. P. 2347 -2360 14 100% 0
8 ABREU-BLAYA, R , BORY-REYES, J , BRACK, F , DE SCHEPPER, H , SOMMEN, F , (2012) BOUNDARY VALUE PROBLEMS ASSOCIATED TO A HERMITIAN HELMHOLTZ EQUATION.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 389. ISSUE 2. P. 1268 -1279 16 89% 0
9 KU, M , WANG, DS , (2011) HALF DIRICHLET PROBLEM FOR MATRIX FUNCTIONS ON THE UNIT BALL IN HERMITIAN CLIFFORD ANALYSIS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 374. ISSUE 2. P. 442 -457 14 100% 0
10 PENA, DP , (2013) SHIFTED APPELL SEQUENCES IN CLIFFORD ANALYSIS.RESULTS IN MATHEMATICS. VOL. 63. ISSUE 3-4. P. 1145 -1157 14 93% 2

Classes with closest relation at Level 1


Rank Class id link
1 11359 OCTONIONS//SLICE REGULAR FUNCTIONS//SPLIT QUATERNIONS
2 33543 ANTICOMMUTING COORDINATES//FIELD PROPERTIES//ANTICOMMUTING
3 28741 PSEUDOANALYTIC FUNCTION//SPECTRAL PARAMETER POWER SERIES//GENERALIZED ANALYTIC FUNCTIONS
4 11755 LIPSCHITZ DOMAINS//LAYER POTENTIALS//LAYER POTENTIAL OPERATORS
5 30804 MONO COMPONENT//BEDROSIAN IDENTITY//RATIONAL ORTHOGONAL SYSTEM
6 34098 FLAT MANIFOLD//BIEBERBACH GROUPS//COMPACT FLAT MANIFOLDS
7 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
8 37397 VECTOR LATTICE OF CONTINUOUS FUNCTIONS//ADAPTED SPACE//APPROXIMATION BY POSITIVE OPERATOR
9 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
10 17336 GIBBS PHENOMENON//PROLATE SPHEROIDAL WAVE FUNCTIONS//GEGENBAUER RECONSTRUCTION

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