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

Basic class information
ID Publications Average number
of references		 Avg. shr. active
ref. in WoS
13218 788 16.5 36%


Bar chart of Publication_year

Last years might be incomplete

Classes in level above (level 2)


ID, lev.
above		 Publications Label for level above
1929 5246 HERMITE HADAMARD INEQUALITY//MATHEMATICAL INEQUALITIES & APPLICATIONS//OPERATOR MEAN

Terms with highest relevance score


Rank Term Type of term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GAMMA FUNCTION Author keyword 111 41% 27% 210
2 COMPLETELY MONOTONIC FUNCTION Author keyword 102 88% 6% 49
3 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION Author keyword 94 94% 4% 33
4 PSI FUNCTION Author keyword 91 69% 10% 77
5 EULER MASCHERONI CONSTANT Author keyword 38 70% 4% 32
6 WALLIS RATIO Author keyword 38 93% 2% 14
7 COMPLETELY MONOTONIC FUNCTIONS Author keyword 29 67% 3% 26
8 LANDAU CONSTANTS Author keyword 26 100% 1% 11
9 FACTORIAL FUNCTION Author keyword 23 74% 2% 17
10 POLYGAMMA FUNCTIONS Author keyword 22 52% 4% 30

Web of Science journal categories

Author Key Words


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class		 LCSH search Wikipedia search
1 GAMMA FUNCTION 111 41% 27% 210 Search GAMMA+FUNCTION Search GAMMA+FUNCTION
2 COMPLETELY MONOTONIC FUNCTION 102 88% 6% 49 Search COMPLETELY+MONOTONIC+FUNCTION Search COMPLETELY+MONOTONIC+FUNCTION
3 LOGARITHMICALLY COMPLETELY MONOTONIC FUNCTION 94 94% 4% 33 Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION Search LOGARITHMICALLY+COMPLETELY+MONOTONIC+FUNCTION
4 PSI FUNCTION 91 69% 10% 77 Search PSI+FUNCTION Search PSI+FUNCTION
5 EULER MASCHERONI CONSTANT 38 70% 4% 32 Search EULER+MASCHERONI+CONSTANT Search EULER+MASCHERONI+CONSTANT
6 WALLIS RATIO 38 93% 2% 14 Search WALLIS+RATIO Search WALLIS+RATIO
7 COMPLETELY MONOTONIC FUNCTIONS 29 67% 3% 26 Search COMPLETELY+MONOTONIC+FUNCTIONS Search COMPLETELY+MONOTONIC+FUNCTIONS
8 LANDAU CONSTANTS 26 100% 1% 11 Search LANDAU+CONSTANTS Search LANDAU+CONSTANTS
9 FACTORIAL FUNCTION 23 74% 2% 17 Search FACTORIAL+FUNCTION Search FACTORIAL+FUNCTION
10 POLYGAMMA FUNCTIONS 22 52% 4% 30 Search POLYGAMMA+FUNCTIONS Search POLYGAMMA+FUNCTIONS

Key Words Plus


Rank Web of Science journal category Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 GAMMA FUNCTION 86 57% 13% 101
2 POLYGAMMA FUNCTIONS 77 84% 5% 42
3 PSI FUNCTIONS 57 95% 2% 19
4 FACTORIAL FUNCTION 52 100% 2% 18
5 DIGAMMA 48 91% 3% 20
6 MONOTONIC FUNCTIONS 44 66% 5% 41
7 DIGAMMA FUNCTION 18 83% 1% 10
8 COMPLETE MONOTONICITY 15 88% 1% 7
9 EULER MASCHERONI CONSTANT 14 100% 1% 7
10 QUICKER CONVERGENCE 14 100% 1% 7

Journals

Reviews


Title Publ. year Cit. Active
references		 % act. ref.
to same field
Some inequalities and monotonicity properties associated with the gamma and psi functions 2012 3 33 100%
Bounds for the Ratio of Two Gamma Functions 2010 11 70 90%
Bounds for the ratio of two gamma functions: from Wendel's asymptotic relation to Elezovic-Giordano-Pecaric's theorem 2013 1 37 97%
A Class of Logarithmically Completely Monotonic Functions and Their Applications 2014 0 11 100%
On a "much underestimated" paper of Alexander 2000 6 7 29%

Address terms


Rank Address term Relevance score
(tfidf)		 Class's shr.
of term's tot.
occurrences		 Shr. of publ.
in class containing
term		 Num. of
publ. in
class
1 MATH INEQUAL THEORY 14 59% 2.0% 16
2 MATH INEQUAL 3 60% 0.4% 3
3 BASIC SCI ENVIRONM MATH COMP SCI 2 67% 0.3% 2
4 ALGEBRA GEOMETRY ANAL 1 50% 0.1% 1
5 EQUIP ANAL 1 50% 0.1% 1
6 FRANCOCHINOIS ENERGIE NUCL 1 22% 0.3% 2
7 CIENCIA COMPUTACAO ESTATIST 0 25% 0.1% 1
8 FHDW HANNOVER 0 25% 0.1% 1
9 PROJECT MATH 0 25% 0.1% 1
10 SAINS MATEMAT 0 25% 0.1% 1

Related classes at same level (level 1)


Rank Relatedness score Related classes
1 0.0000215968 JORDANS INEQUALITY//NEUMAN SANDOR MEAN//SCHWAB BORCHARDT MEAN
2 0.0000191126 MULTIPLE ZETA VALUES//EULER SUMS//MULTIPLE ZETA VALUE
3 0.0000160889 MATHIEU SERIES//TURAN TYPE INEQUALITIES//INTERLACING OF ZEROS
4 0.0000080646 ACZELS INEQUALITY//BELLMANS INEQUALITY//GENERALIZED HOLDERS INEQUALITY
5 0.0000071830 IRRATIONALITY MEASURE//RAMANUJAN FUNCTIONS//LINEAR INDEPENDENCE MEASURE
6 0.0000060829 HILBERTS INEQUALITY//HILBERT TYPE INEQUALITY//EQUIVALENT FORM
7 0.0000058098 HERMITE HADAMARD INEQUALITY//OSTROWSKI TYPE INEQUALITY//OSTROWSKI INEQUALITY
8 0.0000051074 MELENTEV POWER ENGN SYST//MELENTIEV ENERGY SYST//ULTRA POWER
9 0.0000049445 LAGRANGE HERMITE POLYNOMIALS//CHAN CHYAN SRIVASTAVA POLYNOMIALS//SRIVASTAVA POLYNOMIALS
10 0.0000048960 FLETTS MEAN VALUE THEOREM//STRICTLY CONVEX CURVE//PLANE CURVATURE