Class information for:
Level 1: GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION

Basic class information
Class id #P Avg. number of
references		 Database coverage
of references
12598 894 17.5 40%


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
2523 2             GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS 3821
12598 1                   GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION 894

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 GAMMA FUNCTION authKW 4029250 28% 47% 251
2 PSI FUNCTION authKW 2473632 11% 77% 94
3 COMPLETELY MONOTONIC FUNCTION authKW 2360770 10% 80% 86
4 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION authKW 1573831 5% 96% 48
5 EULER MASCHERONI CONSTANT authKW 1267890 5% 81% 46
6 POLYGAMMA FUNCTIONS authKW 1159909 7% 57% 60
7 STIRLINGS FORMULA authKW 624510 4% 57% 32
8 DIGAMMA FUNCTION authKW 566842 4% 44% 38
9 EULERS CONSTANT authKW 546454 3% 67% 24
10 STIRLING FORMULA authKW 531684 3% 65% 24

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 25669 72% 0% 647
2 Mathematics, Applied 20099 59% 0% 528
3 Computer Science, Theory & Methods 14 2% 0% 16
4 Statistics & Probability 12 1% 0% 13
5 Computer Science, Interdisciplinary Applications 5 1% 0% 12
6 Computer Science, Software Engineering 4 1% 0% 9
7 Physics, Mathematical -0 1% 0% 6
8 Materials Science, Composites -0 0% 0% 1
9 Education, Scientific Disciplines -1 0% 0% 1
10 Engineering, Manufacturing -1 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 MATH INEQUAL THEORY 323821 2% 59% 16
2 BASIC SCI ENVIRONM MATH COMP SCI 102463 0% 100% 3
3 MATH INFORMAT 65196 14% 1% 129
4 MATH INEQUAL 61476 0% 60% 3
5 POWER SUPPLY SERV 43909 0% 43% 3
6 BROADCAST TELEVIS TEACHING 34154 0% 100% 1
7 CIVIL GEODET ENGN FGG 34154 0% 100% 1
8 DIPARTIMENTO MATEMAT AUTOMAT 34154 0% 100% 1
9 EXPTL CONSTRUCT MATH 34154 0% 100% 1
10 MATH INEQUALITY 34154 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 MATHEMATICAL INEQUALITIES & APPLICATIONS 58313 5% 3% 49
2 AMERICAN MATHEMATICAL MONTHLY 43968 7% 2% 59
3 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 39508 4% 3% 38
4 RAMANUJAN JOURNAL 22365 3% 3% 26
5 JOURNAL OF MATHEMATICAL INEQUALITIES 22300 2% 3% 19
6 JOURNAL OF INEQUALITIES AND APPLICATIONS 20895 5% 1% 45
7 JOURNAL OF NUMBER THEORY 11580 4% 1% 40
8 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 10861 9% 0% 82
9 EXPOSITIONES MATHEMATICAE 8994 1% 3% 9
10 APPLIED MATHEMATICS AND COMPUTATION 8694 7% 0% 67

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 GAMMA FUNCTION 4029250 28% 47% 251 Search GAMMA+FUNCTION Search GAMMA+FUNCTION
2 PSI FUNCTION 2473632 11% 77% 94 Search PSI+FUNCTION Search PSI+FUNCTION
3 COMPLETELY MONOTONIC FUNCTION 2360770 10% 80% 86 Search COMPLETELY+MONOTONIC+FUNCTION Search COMPLETELY+MONOTONIC+FUNCTION
4 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION 1573831 5% 96% 48 Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION
5 EULER MASCHERONI CONSTANT 1267890 5% 81% 46 Search EULER+MASCHERONI+CONSTANT Search EULER+MASCHERONI+CONSTANT
6 POLYGAMMA FUNCTIONS 1159909 7% 57% 60 Search POLYGAMMA+FUNCTIONS Search POLYGAMMA+FUNCTIONS
7 STIRLINGS FORMULA 624510 4% 57% 32 Search STIRLINGS+FORMULA Search STIRLINGS+FORMULA
8 DIGAMMA FUNCTION 566842 4% 44% 38 Search DIGAMMA+FUNCTION Search DIGAMMA+FUNCTION
9 EULERS CONSTANT 546454 3% 67% 24 Search EULERS+CONSTANT Search EULERS+CONSTANT
10 STIRLING FORMULA 531684 3% 65% 24 Search STIRLING+FORMULA Search STIRLING+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 QI, F , (2010) BOUNDS FOR THE RATIO OF TWO GAMMA FUNCTIONS.JOURNAL OF INEQUALITIES AND APPLICATIONS. VOL. . ISSUE . P. - 62 89% 23
2 CHEN, CP , TONG, WW , (2016) SHARP INEQUALITIES AND ASYMPTOTIC EXPANSIONS FOR THE GAMMA FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 160. ISSUE . P. 418 -431 42 100% 1
3 GUO, BN , QI, F , ZHAO, JL , LUO, QM , (2015) SHARP INEQUALITIES FOR POLYGAMMA FUNCTIONS.MATHEMATICA SLOVACA. VOL. 65. ISSUE 1. P. 103 -120 45 100% 1
4 CHEN, CP , (2016) ON THE ASYMPTOTIC EXPANSIONS OF THE GAMMA FUNCTION RELATED TO THE NEMES, GOSPER AND BURNSIDE FORMULAS.APPLIED MATHEMATICS AND COMPUTATION. VOL. 276. ISSUE . P. 417 -431 43 100% 0
5 QI, F , LI, WH , (2015) A LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION INVOLVING THE RATIO OF GAMMA FUNCTIONS.JOURNAL OF APPLIED ANALYSIS AND COMPUTATION. VOL. 5. ISSUE 4. P. 626 -634 44 98% 0
6 CHEN, CP , (2016) A MORE ACCURATE APPROXIMATION FOR THE GAMMA FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 164. ISSUE . P. 417 -428 42 100% 0
7 QI, F , GUO, BN , (2016) COMPLETE MONOTONICITY OF DIVIDED DIFFERENCES OF THE DI- AND TRI-GAMMA FUNCTIONS WITH APPLICATIONS.GEORGIAN MATHEMATICAL JOURNAL. VOL. 23. ISSUE 2. P. 279 -291 38 100% 1
8 CHEN, CP , (2016) MONOTONICITY PROPERTIES, INEQUALITIES AND ASYMPTOTIC EXPANSIONS ASSOCIATED WITH THE GAMMA FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 283. ISSUE . P. 385 -396 37 100% 0
9 QI, F , MORTICI, C , (2015) SOME INEQUALITIES FOR THE TRIGAMMA FUNCTION IN TERMS OF THE DIGAMMA FUNCTION.APPLIED MATHEMATICS AND COMPUTATION. VOL. 271. ISSUE . P. 502 -511 38 95% 0
10 CHEN, CP , LIU, JY , (2015) INEQUALITIES AND ASYMPTOTIC EXPANSIONS FOR THE GAMMA FUNCTION.JOURNAL OF NUMBER THEORY. VOL. 149. ISSUE . P. 313 -326 34 100% 2

Classes with closest relation at Level 1


Rank Class id link
1 11098 SEIFFERT MEAN//LOGARITHMIC MEAN//POWER MEAN
2 12370 MULTIPLE ZETA VALUES//HURWITZ ZETA FUNCTION//EULER SUMS
3 33318 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
4 35952 STANDARD NORMAL//ACCURACY OF APPROXIMATIONS//ALTERNATIVE TO RAO BLACKWELLIZATION
5 22454 MULTIPLE SINE FUNCTION//MULTIPLE GAMMA FUNCTION//SELBERG ZETA FUNCTION
6 29485 MATHIEU SERIES//DIFFERINTEGRAL EQUATIONS//GENERALIZED LEIBNIZ RULE
7 12595 UNIFORM ASYMPTOTIC EXPANSION//ZEROS//TURAN TYPE INEQUALITIES
8 15723 EXPONENTIAL CONVEXITY//JENSENS INEQUALITY//SUPERQUADRATIC FUNCTIONS
9 28514 STECHKINS PROBLEM//FAA DI BRUNOS FORMULA//DIFFERENTIATION OF COMPOSITE FUNCTIONS
10 9879 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS

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