Class information for:
Level 1: OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
23811 334 16.2 34%


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
2653 2             BASIC HYPERGEOMETRIC SERIES//OPERATIONAL METHODS//INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 3465
23811 1                   OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS 334

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 OPERATIONAL METHODS authKW 1832606 6% 95% 21
2 MONOMIALITY PRINCIPLE authKW 1638827 7% 81% 22
3 GENERATING RELATIONS authKW 1148736 5% 74% 17
4 GRP FIS TEOR MATEMAT PLICATA address 822804 3% 100% 9
5 UNITA TECN SCI TECNOL FIS AVANZATE address 804945 6% 46% 19
6 RIC FRASCATI address 496141 13% 13% 42
7 LAGUERRE TYPE EXPONENTIALS authKW 457113 1% 100% 5
8 MONOMIALITY authKW 457113 1% 100% 5
9 TRUNCATED EXPONENTIAL POLYNOMIALS authKW 457113 1% 100% 5
10 LAGUERRE DERIVATIVES authKW 380926 1% 83% 5

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 5266 50% 0% 166
2 Mathematics 1765 32% 0% 107
3 Physics, Mathematical 531 12% 0% 39
4 Physics, Multidisciplinary 267 14% 0% 48
5 Computer Science, Cybernetics 205 2% 0% 8
6 Physics, Particles & Fields 111 7% 0% 23
7 Computer Science, Software Engineering 73 4% 0% 13
8 Computer Science, Interdisciplinary Applications 49 4% 0% 13
9 Mathematics, Interdisciplinary Applications 32 3% 0% 9
10 Nuclear Science & Technology 19 3% 0% 10

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 GRP FIS TEOR MATEMAT PLICATA 822804 3% 100% 9
2 UNITA TECN SCI TECNOL FIS AVANZATE 804945 6% 46% 19
3 RIC FRASCATI 496141 13% 13% 42
4 FIS PLICATA 370801 7% 17% 24
5 UNITA FIS TEOR 292551 1% 80% 4
6 GRP FIS TEOR MATEMAT PL 274268 1% 100% 3
7 DIPARTIMENTO INNOVAZ 201659 5% 13% 17
8 UNITA TECN SCI TECNOL FIS AVANZANTE 182845 1% 100% 2
9 UNITA TECN 121896 1% 67% 2
10 RICERCHE FRASCATI 102847 1% 38% 3

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 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 70451 9% 2% 31
2 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA B-GENERAL PHYSICS RELATIVITY ASTRONOMY AND MATHEMATICAL PHYSICS AND METHODS 23357 6% 1% 20
3 GEORGIAN MATHEMATICAL JOURNAL 7006 2% 1% 6
4 APPLIED MATHEMATICS AND COMPUTATION 6017 10% 0% 34
5 REPORTS ON MATHEMATICAL PHYSICS 4285 2% 1% 7
6 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3633 9% 0% 29
7 NUOVO CIMENTO DELLA SOCIETA ITALIANA DI FISICA A-NUCLEI PARTICLES AND FIELDS 2850 3% 0% 10
8 MATHEMATICAL AND COMPUTER MODELLING 2487 4% 0% 13
9 MOSCOW UNIVERSITY PHYSICS BULLETIN 1839 1% 1% 4
10 ADVANCES IN APPLIED CLIFFORD ALGEBRAS 1427 1% 1% 3

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 OPERATIONAL METHODS 1832606 6% 95% 21 Search OPERATIONAL+METHODS Search OPERATIONAL+METHODS
2 MONOMIALITY PRINCIPLE 1638827 7% 81% 22 Search MONOMIALITY+PRINCIPLE Search MONOMIALITY+PRINCIPLE
3 GENERATING RELATIONS 1148736 5% 74% 17 Search GENERATING+RELATIONS Search GENERATING+RELATIONS
4 LAGUERRE TYPE EXPONENTIALS 457113 1% 100% 5 Search LAGUERRE+TYPE+EXPONENTIALS Search LAGUERRE+TYPE+EXPONENTIALS
5 MONOMIALITY 457113 1% 100% 5 Search MONOMIALITY Search MONOMIALITY
6 TRUNCATED EXPONENTIAL POLYNOMIALS 457113 1% 100% 5 Search TRUNCATED+EXPONENTIAL+POLYNOMIALS Search TRUNCATED+EXPONENTIAL+POLYNOMIALS
7 LAGUERRE DERIVATIVES 380926 1% 83% 5 Search LAGUERRE+DERIVATIVES Search LAGUERRE+DERIVATIVES
8 SHEFFER POLYNOMIALS 365683 2% 50% 8 Search SHEFFER+POLYNOMIALS Search SHEFFER+POLYNOMIALS
9 EXPONENTIAL OPERATOR 338590 3% 37% 10 Search EXPONENTIAL+OPERATOR Search EXPONENTIAL+OPERATOR
10 GAUSS WEIERSTRASS TRANSFORM 274268 1% 100% 3 Search GAUSS+WEIERSTRASS+TRANSFORM Search GAUSS+WEIERSTRASS+TRANSFORM

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 ZHUKOVSKY, KV , (2017) OPERATIONAL SOLUTION FOR SOME TYPES OF SECOND ORDER DIFFERENTIAL EQUATIONS AND FOR RELEVANT PHYSICAL PROBLEMS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 446. ISSUE 1. P. 628 -647 20 95% 1
2 ZHUKOVSKY, KV , SRIVASTAVA, HM , (2017) ANALYTICAL SOLUTIONS FOR HEAT DIFFUSION BEYOND FOURIER LAW.APPLIED MATHEMATICS AND COMPUTATION. VOL. 293. ISSUE . P. 423 -437 19 48% 1
3 ZHUKOVSKY, KV , (2016) OPERATIONAL METHOD OF SOLUTION OF LINEAR NON-INTEGER ORDINARY AND PARTIAL DIFFERENTIAL EQUATIONS.SPRINGERPLUS. VOL. 5. ISSUE . P. - 18 67% 3
4 ZHUKOVSKY, KV , (2015) A METHOD OF INVERSE DIFFERENTIAL OPERATORS USING ORTOGONAL POLYNOMIALS AND SPECIAL FUNCTIONS FOR SOLVING SOME TYPES OF DIFFERENTIAL EQUATIONS AND PHYSICAL PROBLEMS.MOSCOW UNIVERSITY PHYSICS BULLETIN. VOL. 70. ISSUE 2. P. 93 -100 17 71% 5
5 YASMIN, G , (2014) SOME PROPERTIES OF LEGENDRE-GOULD HOPPER POLYNOMIALS AND OPERATIONAL METHODS.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 413. ISSUE 1. P. 84-99 15 88% 0
6 KHAN, S , AL-GONAH, AA , (2012) OPERATIONAL METHODS AND LAGUERRE-GOULD HOPPER POLYNOMIALS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 218. ISSUE 19. P. 9930-9942 14 88% 2
7 ZHUKOVSKY, KV , (2016) THE OPERATIONAL SOLUTION OF FRACTIONAL-ORDER DIFFERENTIAL EQUATIONS, AS WELL AS BLACK-SCHOLES AND HEAT-CONDUCTION EQUATIONS.MOSCOW UNIVERSITY PHYSICS BULLETIN. VOL. 71. ISSUE 3. P. 237 -244 20 51% 1
8 KHAN, S , RAZA, N , ALI, M , (2017) FINDING MIXED FAMILIES OF SPECIAL POLYNOMIALS ASSOCIATED WITH APPELL SEQUENCES.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 447. ISSUE 1. P. 398 -418 16 64% 0
9 ANSARI, A , ASKARI, H , (2014) ON FRACTIONAL CALCULUS OF A(2N+1)(X) FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 232. ISSUE . P. 487-497 14 78% 0
10 ZHUKOVSKY, K , (2016) EMISSION AND TUNING OF HARMONICS IN A PLANAR TWO-FREQUENCY UNDULATOR WITH ACCOUNT FOR BROADENING.LASER AND PARTICLE BEAMS. VOL. 34. ISSUE 3. P. 447 -456 17 59% 0

Classes with closest relation at Level 1


Rank Class id link
1 9879 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
2 31022 MACRO SCALE QUANTUM EFFECTS//CURL FREE VECTOR POTENTIAL//LADDER THEORY
3 36075 B ARY TREE//BELIEF CALCULI TRANSFORMATIONS//CONGEST MANAGEMENT SIGNING UNIT
4 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
5 32188 SHEPARD OPERATOR//COMBINED SHEPARD OPERATORS//SHEPARD METHOD
6 24414 NON CANONICAL QUANTIZATION//FIS TEOR COMPUTAC CARLOS 1//DRIENFELD SOKOLOV EQUATION
7 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
8 7380 ORTHOGONAL POLYNOMIALS//SOBOLEV ORTHOGONAL POLYNOMIALS//SOBOLEV INNER PRODUCTS
9 20219 MATRIX ORTHOGONAL POLYNOMIALS//MATRIX VALUED ORTHOGONAL POLYNOMIALS//GENERATING MATRIX FUNCTION
10 23174 PASCAL MATRIX//STIRLING MATRIX//FIBONACCI MATRIX

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