Class information for:
Level 1: KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
26795 245 15.7 20%


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
568 3       COMPUTER AIDED GEOMETRIC DESIGN//ISOGEOMETRIC ANALYSIS//COMPUTER-AIDED DESIGN 16883
3334 2             NEUTRIX LIMIT//COLOMBEAU ALGEBRA//BOEHMIANS 1780
26795 1                   KONTOROVICH LEBEDEV TRANSFORM//MEHLER FOCK TRANSFORM//INDEX TRANSFORMS 245

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 KONTOROVICH LEBEDEV TRANSFORM authKW 2454307 13% 62% 32
2 MEHLER FOCK TRANSFORM authKW 997072 3% 100% 8
3 INDEX TRANSFORMS authKW 917756 4% 82% 9
4 FOURIER COSINE TRANSFORM authKW 673017 4% 60% 9
5 POLYCONVOLUTION authKW 498536 2% 100% 4
6 TITCHMARSH THEOREM authKW 498536 2% 100% 4
7 WATSON THEOREM authKW 498536 2% 100% 4
8 PLANCHEREL THEOREM authKW 498524 4% 40% 10
9 PARSEVAL EQUALITY authKW 469768 3% 54% 7
10 CONVOLUTION INTEGRAL EQUATIONS authKW 398827 2% 80% 4

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 9185 82% 0% 202
2 Mathematics, Applied 4850 56% 0% 136
3 Multidisciplinary Sciences 58 3% 0% 7
4 Physics, Mathematical 9 2% 0% 6
5 Mathematics, Interdisciplinary Applications 6 2% 0% 4
6 Education, Scientific Disciplines 0 0% 0% 1
7 Instruments & Instrumentation 0 1% 0% 3
8 Geochemistry & Geophysics 0 1% 0% 2
9 Operations Research & Management Science -0 0% 0% 1
10 Engineering, General -0 0% 0% 1

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 IUT CREUSOT 181281 2% 36% 4
2 ESTUDIOS GEN 160240 1% 43% 3
3 COMPUT PL MATH 124634 0% 100% 1
4 HANOI EDUC TRAINING 124634 0% 100% 1
5 KIM LIEN HIGH 124634 0% 100% 1
6 SYSTEMHOUSE 124634 0% 100% 1
7 UNIV EDU 124634 0% 100% 1
8 HIGH GIFTED 62316 0% 50% 1
9 PHOTOMETR GRP 62314 1% 25% 2
10 GIFTED STUDENTS 53409 1% 14% 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 240071 20% 4% 49
2 MATHEMATICAL INEQUALITIES & APPLICATIONS 5665 3% 1% 8
3 COMPLEX ANALYSIS AND OPERATOR THEORY 5090 2% 1% 5
4 MATHEMATISCHE NACHRICHTEN 3751 4% 0% 11
5 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 3119 9% 0% 23
6 JOURNAL OF THE INSTITUTE OF MATHEMATICS AND ITS APPLICATIONS 3114 0% 3% 1
7 JOURNAL OF INTEGRAL EQUATIONS AND APPLICATIONS 2766 1% 1% 2
8 PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 1657 6% 0% 15
9 ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN 1533 1% 0% 3
10 KODAI MATHEMATICAL JOURNAL 1416 1% 1% 2

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 KONTOROVICH LEBEDEV TRANSFORM 2454307 13% 62% 32 Search KONTOROVICH+LEBEDEV+TRANSFORM Search KONTOROVICH+LEBEDEV+TRANSFORM
2 MEHLER FOCK TRANSFORM 997072 3% 100% 8 Search MEHLER+FOCK+TRANSFORM Search MEHLER+FOCK+TRANSFORM
3 INDEX TRANSFORMS 917756 4% 82% 9 Search INDEX+TRANSFORMS Search INDEX+TRANSFORMS
4 FOURIER COSINE TRANSFORM 673017 4% 60% 9 Search FOURIER+COSINE+TRANSFORM Search FOURIER+COSINE+TRANSFORM
5 POLYCONVOLUTION 498536 2% 100% 4 Search POLYCONVOLUTION Search POLYCONVOLUTION
6 TITCHMARSH THEOREM 498536 2% 100% 4 Search TITCHMARSH+THEOREM Search TITCHMARSH+THEOREM
7 WATSON THEOREM 498536 2% 100% 4 Search WATSON+THEOREM Search WATSON+THEOREM
8 PLANCHEREL THEOREM 498524 4% 40% 10 Search PLANCHEREL+THEOREM Search PLANCHEREL+THEOREM
9 PARSEVAL EQUALITY 469768 3% 54% 7 Search PARSEVAL+EQUALITY Search PARSEVAL+EQUALITY
10 CONVOLUTION INTEGRAL EQUATIONS 398827 2% 80% 4 Search CONVOLUTION+INTEGRAL+EQUATIONS Search CONVOLUTION+INTEGRAL+EQUATIONS

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 NHAN, NDV , DUC, DT , (2013) VARIOUS INEQUALITIES IN REPRODUCING KERNEL HILBERT SPACES.TAIWANESE JOURNAL OF MATHEMATICS. VOL. 17. ISSUE 1. P. 221 -237 9 100% 0
2 MARKOVIC, M , (2015) SHARP INEQUALITIES OVER THE UNIT POLYDISC.JOURNAL OF FUNCTIONAL ANALYSIS. VOL. 268. ISSUE 9. P. 2647 -2671 7 88% 1
3 BRITVINA, LE , (2016) GENERALIZED CONVOLUTION WITH TWO PARAMETERS FOR THE HANKEL TRANSFORM AND RELATED INTEGRAL OPERATORS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 28. ISSUE 1. P. 1 -14 6 100% 0
4 SZMYTKOWSKI, R , BIELSKI, S , (2014) A DIRAC DELTA-TYPE ORTHOGONALITY RELATION FOR THE ON-THE-CUT GENERALIZED ASSOCIATED LEGENDRE FUNCTIONS OF THE FIRST KIND WITH IMAGINARY SECOND UPPER INDICES.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 25. ISSUE 4. P. 312-317 6 100% 0
5 YAKUBOVICH, SB , (2008) ON A PROGRESS IN THE KONTOROVICH-LEBEDEV TRANSFORM THEORY AND RELATED INTEGRAL OPERATORS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 19. ISSUE 7. P. 509 -534 12 57% 3
6 CHAKRABORTY, K , KANEMITSU, S , MAJI, B , (2017) MODULAR-TYPE RELATIONS ASSOCIATED TO THE RANKIN-SELBERG L-FUNCTION.RAMANUJAN JOURNAL. VOL. 42. ISSUE 2. P. 285 -299 5 100% 0
7 HONG, NT , HOANG, PV , TUAN, VK , (2016) THE CONVOLUTION FOR THE KONTOROVICH-LEBEDEV TRANSFORM REVISITED.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS. VOL. 440. ISSUE 1. P. 369 -378 5 100% 0
8 PHI, TVA , NGUYEN, XT , (2015) INTEGRAL TRANSFORMS OF HARTLEY-FOURIER COSINE POLYCONVOLUTION TYPE.APPLICABLE ANALYSIS. VOL. 94. ISSUE 9. P. 1749 -1765 5 100% 0
9 DUC, DT , NGUYEN, DVN , (2011) GENERALIZE SOME NORM INEQUALITIES OF SAITOH.KODAI MATHEMATICAL JOURNAL. VOL. 34. ISSUE 2. P. 191 -201 9 60% 3
10 RODRIGUES, MM , VIEIRA, N , YAKUBOVICH, S , (2013) A CONVOLUTION OPERATOR RELATED TO THE GENERALIZED MEHLER-FOCK AND KONTOROVICH-LEBEDEV TRANSFORMS.RESULTS IN MATHEMATICS. VOL. 63. ISSUE 1-2. P. 511-528 5 100% 4

Classes with closest relation at Level 1


Rank Class id link
1 33484 EIKONAL TRANSFORMATION//HIGH OSCILLATIONS//FINITE HANKEL TRANSFORM
2 8411 DUNKL TRANSFORM//DUNKL OPERATORS//UNCERTAINTY PRINCIPLE
3 26928 EMBEDDING FORMULAE//DIFFRACTION BY CONES//PARAMETER DERIVATIVES
4 34168 POWER RADIATION INTEGRALS//CIRCULAR SHAPE ANTENNA//CONFORMAL SLOTTED WAVEGUIDE ANTENNAS
5 18495 WIENER HOPF TECHNIQUE//WIENER HOPF OPERATOR//FACTORIZATION OF MATRIX FUNCTIONS
6 26119 HERMITE HEAT EQUATION//S CONVOLUTION//MEHLER KERNEL
7 29485 MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE
8 34867 INDUCED FORCES//INFINITE INTEGRALS OVER SPHERICAL BESSEL FUNCTIONS//NEUMANN FUNCTIONS
9 20173 OFF OUTER SPACE AFFAIRS//H FUNCTION//GENERALIZED WRIGHT FUNCTION
10 23320 LYAPUNOV TYPE INEQUALITY//LYAPUNOV INEQUALITY//OPIALS INEQUALITY

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