Class information for:
Level 1: GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
9879 1112 17.3 43%


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
1244 2             FIBONACCI QUARTERLY//MULTIPLE ZETA VALUES//BERNOULLI NUMBERS 8992
9879 1                   GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS 1112

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 GEN EDUC MATH address 1566216 8% 63% 90
2 BERNOULLI POLYNOMIALS authKW 1309205 11% 40% 118
3 EULER POLYNOMIALS authKW 1287050 7% 63% 75
4 BERNOULLI NUMBERS authKW 726710 8% 29% 90
5 P ADIC Q INTEGRAL authKW 658999 2% 100% 24
6 EULER NUMBERS authKW 645782 4% 56% 42
7 GENOCCHI POLYNOMIALS authKW 576624 2% 100% 21
8 APOSTOL BERNOULLI POLYNOMIALS authKW 550412 2% 95% 21
9 BERNOULLI NUMBERS AND POLYNOMIALS authKW 538165 3% 70% 28
10 EULER NUMBERS AND POLYNOMIALS authKW 495620 2% 95% 19

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 26446 61% 0% 675
2 Mathematics 25772 65% 0% 725
3 Computer Science, Theory & Methods 2208 13% 0% 142
4 Physics, Mathematical 779 8% 0% 89
5 Mathematics, Interdisciplinary Applications 61 2% 0% 24
6 Statistics & Probability 12 1% 0% 15
7 History & Philosophy of Science 0 0% 0% 2
8 Multidisciplinary Sciences 0 0% 0% 4
9 Computer Science, Software Engineering -2 0% 0% 2
10 Engineering, General -3 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 GEN EDUC MATH 1566216 8% 63% 90
2 HANRIMWON 329499 1% 100% 12
3 WIRELESS COMMUN ENGN 197959 3% 23% 32
4 ECON ADM SOCIAL SCI 152472 2% 29% 19
5 CHONGQING HIGHER EDUC MEGA 124799 1% 45% 10
6 MATH EDUC 100759 9% 4% 95
7 CULTURAL EDUC 44838 1% 23% 7
8 MATH 29117 60% 0% 666
9 COMBINATORIES LPMC 27458 0% 100% 1
10 COMPLEX INFORMAT SECUR 27458 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 COMPUTATIONAL ANALYSIS AND APPLICATIONS 366858 13% 9% 141
2 ADVANCES IN DIFFERENCE EQUATIONS 126158 9% 5% 99
3 RUSSIAN JOURNAL OF MATHEMATICAL PHYSICS 47938 3% 5% 37
4 FIBONACCI QUARTERLY 27729 3% 3% 34
5 JOURNAL OF NUMBER THEORY 23870 6% 1% 64
6 JOURNAL OF INEQUALITIES AND APPLICATIONS 23297 5% 2% 53
7 ABSTRACT AND APPLIED ANALYSIS 14316 4% 1% 48
8 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 11613 2% 2% 23
9 JOURNAL OF NONLINEAR SCIENCES AND APPLICATIONS 10219 2% 2% 17
10 FILOMAT 9646 2% 2% 21

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 BERNOULLI POLYNOMIALS 1309205 11% 40% 118 Search BERNOULLI+POLYNOMIALS Search BERNOULLI+POLYNOMIALS
2 EULER POLYNOMIALS 1287050 7% 63% 75 Search EULER+POLYNOMIALS Search EULER+POLYNOMIALS
3 BERNOULLI NUMBERS 726710 8% 29% 90 Search BERNOULLI+NUMBERS Search BERNOULLI+NUMBERS
4 P ADIC Q INTEGRAL 658999 2% 100% 24 Search P+ADIC+Q+INTEGRAL Search P+ADIC+Q+INTEGRAL
5 EULER NUMBERS 645782 4% 56% 42 Search EULER+NUMBERS Search EULER+NUMBERS
6 GENOCCHI POLYNOMIALS 576624 2% 100% 21 Search GENOCCHI+POLYNOMIALS Search GENOCCHI+POLYNOMIALS
7 APOSTOL BERNOULLI POLYNOMIALS 550412 2% 95% 21 Search APOSTOL+BERNOULLI+POLYNOMIALS Search APOSTOL+BERNOULLI+POLYNOMIALS
8 BERNOULLI NUMBERS AND POLYNOMIALS 538165 3% 70% 28 Search BERNOULLI+NUMBERS+AND+POLYNOMIALS Search BERNOULLI+NUMBERS+AND+POLYNOMIALS
9 EULER NUMBERS AND POLYNOMIALS 495620 2% 95% 19 Search EULER+NUMBERS+AND+POLYNOMIALS Search EULER+NUMBERS+AND+POLYNOMIALS
10 APOSTOL EULER POLYNOMIALS 440856 2% 94% 17 Search APOSTOL+EULER+POLYNOMIALS Search APOSTOL+EULER+POLYNOMIALS

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 SRIVASTAVA, HM , (2011) SOME GENERALIZATIONS AND BASIC (OR Q-) EXTENSIONS OF THE BERNOULLI, EULER AND GENOCCHI POLYNOMIALS.APPLIED MATHEMATICS & INFORMATION SCIENCES. VOL. 5. ISSUE 3. P. 390 -444 48 94% 61
2 HE, Y , (2016) A NEW FORMULA OF PRODUCTS OF THE APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS.BULLETIN OF THE MALAYSIAN MATHEMATICAL SCIENCES SOCIETY. VOL. 39. ISSUE 4. P. 1307 -1318 42 98% 0
3 DERE, R , SIMSEK, Y , SRIVASTAVA, HM , (2013) A UNIFIED PRESENTATION OF THREE FAMILIES OF GENERALIZED APOSTOL TYPE POLYNOMIALS BASED UPON THE THEORY OF THE UMBRAL CALCULUS AND THE UMBRAL ALGEBRA.JOURNAL OF NUMBER THEORY. VOL. 133. ISSUE 10. P. 3245-3263 39 89% 11
4 HE, Y , ARACI, S , SRIVASTAVA, HM , ACIKGOZ, M , (2015) SOME NEW IDENTITIES FOR THE APOSTOL-BERNOULLI POLYNOMIALS AND THE APOSTOL-GENOCCHI POLYNOMIALS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 262. ISSUE . P. 31 -41 33 97% 2
5 KIM, MS , HU, S , (2013) A NOTE ON THE APOSTOL-BERNOULLI AND APOSTOL-EULER POLYNOMIALS.PUBLICATIONES MATHEMATICAE-DEBRECEN. VOL. 83. ISSUE 3. P. 449-464 32 97% 3
6 OZDEN, H , CANGUL, IN , SIMSEK, Y , (2009) ON THE BEHAVIOR OF TWO VARIABLE TWISTED P-ADIC EULER Q-L-FUNCTIONS.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS. VOL. 71. ISSUE 12. P. E942 -E951 36 95% 4
7 LUO, QM , SRIVASTAVA, M , (2011) SOME GENERALIZATIONS OF THE APOSTOL-GENOCCHI POLYNOMIALS AND THE STIRLING NUMBERS OF THE SECOND KIND.APPLIED MATHEMATICS AND COMPUTATION. VOL. 217. ISSUE 12. P. 5702-5728 31 94% 28
8 SRIVASTAVA, HM , KURT, B , SIMSEK, Y , (2012) SOME FAMILIES OF GENOCCHI TYPE POLYNOMIALS AND THEIR INTERPOLATION FUNCTIONS.INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS. VOL. 23. ISSUE 12. P. 919 -938 34 87% 12
9 HE, Y , ARACI, S , SRIVASTAVA, HM , (2016) SOME NEW FORMULAS FOR THE PRODUCTS OF THE APOSTOL TYPE POLYNOMIALS.ADVANCES IN DIFFERENCE EQUATIONS. VOL. . ISSUE . P. - 30 94% 0
10 WANG, WP , LIU, HM , JIA, CZ , (2016) TRIPLE CONVOLUTION IDENTITIES ON BERNOULLI POLYNOMIALS AND EULER POLYNOMIALS.UTILITAS MATHEMATICA. VOL. 101. ISSUE . P. 369 -395 28 100% 0

Classes with closest relation at Level 1


Rank Class id link
1 23811 OPERATIONAL METHODS//MONOMIALITY PRINCIPLE//GENERATING RELATIONS
2 16742 STIRLING NUMBERS//R STIRLING NUMBERS//EULER DISTRIBUTION
3 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
4 14579 SUPERCONGRUENCES//GAUSSIAN HYPERGEOMETRIC SERIES//BINOMIAL COEFFICIENTS
5 12598 GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION
6 22598 DEDEKIND SUMS//SUBDIVISION ALGEBRA//EHRHART POLYNOMIAL
7 18028 HYBRID MEAN VALUE//DEDEKIND SUMS//ASYMPTOTIC FORMULA
8 34546 POLYNOMIAL KNOTS//CHEBYSHEV CURVES//LISSAJOUS KNOTS
9 23214 LAGRANGE POLYNOMIALS//KAMPE DE FERIET FUNCTION//LAGRANGE HERMITE POLYNOMIALS
10 35952 STANDARD NORMAL//ACCURACY OF APPROXIMATIONS//ALTERNATIVE TO RAO BLACKWELLIZATION

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