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

Basic class information

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
14 4 MATHEMATICS//MATHEMATICS, APPLIED//MATH 912822
434 3       JOURNAL OF APPROXIMATION THEORY//MATHEMATICS//ORTHOGONAL POLYNOMIALS 28449
2166 2             GAMMA FUNCTION//HERMITE HADAMARD INEQUALITY//JOURNAL OF MATHEMATICAL INEQUALITIES 5291
11953 1                   GAMMA FUNCTION//PSI FUNCTION//COMPLETELY MONOTONIC FUNCTION 970

Terms with highest relevance score



rank Category termType chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 GAMMA FUNCTION authKW 4268237 28% 48% 271
2 PSI FUNCTION authKW 2437722 10% 77% 98
3 COMPLETELY MONOTONIC FUNCTION authKW 2380938 9% 81% 91
4 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION authKW 1562017 5% 96% 50
5 EULER MASCHERONI CONSTANT authKW 1227144 5% 79% 48
6 POLYGAMMA FUNCTIONS authKW 1119349 6% 56% 61
7 STIRLINGS FORMULA authKW 686184 4% 60% 35
8 DIGAMMA FUNCTION authKW 652933 4% 47% 43
9 EULERS CONSTANT authKW 577964 3% 68% 26
10 WALLIS RATIO authKW 554039 2% 95% 18

Web of Science journal categories



chi_square_rank Category chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 Mathematics 27949 73% 0% 705
2 Mathematics, Applied 21792 59% 0% 573
3 Statistics & Probability 61 2% 0% 24
4 Computer Science, Theory & Methods 7 1% 0% 14
5 Computer Science, Interdisciplinary Applications 4 1% 0% 12
6 Computer Science, Software Engineering 3 1% 0% 9
7 Physics, Mathematical 0 1% 0% 9
8 Materials Science, Composites -1 0% 0% 1
9 Engineering, Manufacturing -1 0% 0% 1
10 Computer Science, Hardware & Architecture -1 0% 0% 1

Address terms



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATH INEQUAL THEORY 308041 2% 59% 16
2 BASIC SCI ENVIRONM MATH COMP SCI 97470 0% 100% 3
3 MATH INFORMAT 66383 14% 1% 137
4 MATH INEQUAL 58480 0% 60% 3
5 POWER SUPPLY SERV 41769 0% 43% 3
6 BROADCAST TELEVIS TEACHING 32490 0% 100% 1
7 CIVIL GEODET ENGN FGG 32490 0% 100% 1
8 DIPARTIMENTO MATEMAT AUTOMAT 32490 0% 100% 1
9 MATH INEQUALITY 32490 0% 100% 1
10 MATH INEQUALITY THEORY 32490 0% 100% 1

Journals



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass
1 MATHEMATICAL INEQUALITIES & APPLICATIONS 54003 5% 3% 49
2 INTEGRAL TRANSFORMS AND SPECIAL FUNCTIONS 51034 5% 3% 45
3 RAMANUJAN JOURNAL 27244 3% 3% 30
4 JOURNAL OF INEQUALITIES AND APPLICATIONS 27142 6% 2% 54
5 AMERICAN MATHEMATICAL MONTHLY 23698 5% 2% 45
6 JOURNAL OF MATHEMATICAL INEQUALITIES 21621 2% 3% 20
7 JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 13581 10% 0% 95
8 JOURNAL OF NUMBER THEORY 11756 4% 1% 42
9 APPLIED MATHEMATICS AND COMPUTATION 9149 7% 0% 71
10 ANALYSIS AND APPLICATIONS 9133 1% 3% 10

Author Key Words



chi_square_rank term chi_square shrOfCwithTerm shrOfTermInClass termInClass LCSH search Wikipedia search
1 GAMMA FUNCTION 4268237 28% 48% 271 Search GAMMA+FUNCTION Search GAMMA+FUNCTION
2 PSI FUNCTION 2437722 10% 77% 98 Search PSI+FUNCTION Search PSI+FUNCTION
3 COMPLETELY MONOTONIC FUNCTION 2380938 9% 81% 91 Search COMPLETELY+MONOTONIC+FUNCTION Search COMPLETELY+MONOTONIC+FUNCTION
4 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION 1562017 5% 96% 50 Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION
5 EULER MASCHERONI CONSTANT 1227144 5% 79% 48 Search EULER+MASCHERONI+CONSTANT Search EULER+MASCHERONI+CONSTANT
6 POLYGAMMA FUNCTIONS 1119349 6% 56% 61 Search POLYGAMMA+FUNCTIONS Search POLYGAMMA+FUNCTIONS
7 STIRLINGS FORMULA 686184 4% 60% 35 Search STIRLINGS+FORMULA Search STIRLINGS+FORMULA
8 DIGAMMA FUNCTION 652933 4% 47% 43 Search DIGAMMA+FUNCTION Search DIGAMMA+FUNCTION
9 EULERS CONSTANT 577964 3% 68% 26 Search EULERS+CONSTANT Search EULERS+CONSTANT
10 WALLIS RATIO 554039 2% 95% 18 Search WALLIS+RATIO Search WALLIS+RATIO

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.

Classes with closest relation at Level 1



rank cluster_id2 link
1 11677 LOGARITHMIC MEAN//POWER MEAN//SEIFFERT MEAN
2 11872 MULTIPLE ZETA VALUES//EULER SUMS//HURWITZ ZETA FUNCTION
3 20472 TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS//MATHIEU SERIES
4 38797 APPROACH TO THERMODYNAMIC EQUILIBRIUM//BASEL PROBLEM//EULERS SINE PRODUCT
5 26349 MULTIPLE SINE FUNCTION//FIELD WITH ONE ELEMENT//MULTIPLE GAMMA FUNCTION
6 29605 POSITIVE TRIGONOMETRIC SUMS//FEJER JACKSON INEQUALITY//RELATIVE WIDTH
7 27686 MELENTEV POWER ENGN SYST//MELENTIEV ENERGY SYST//LAMBERT W FUNCTION
8 20995 IRRATIONALITY MEASURE//LINEAR INDEPENDENCE MEASURE//IRRATIONALITY
9 9138 GEN EDUC MATH//BERNOULLI POLYNOMIALS//EULER POLYNOMIALS
10 25545 NORMAL NUMBERS//CANTOR SERIES//BBP TYPE FORMULAE

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