-
1
-
-
0003231932
-
-
Abramowitz M., and Stegun I.A. (Eds), National Bureau of Standards, Washington
-
In: Abramowitz M., and Stegun I.A. (Eds). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables. 4th printing, with corrections. Applied Mathematics Series vol. 55 (1965), National Bureau of Standards, Washington
-
(1965)
Applied Mathematics Series
, vol.55
-
-
-
2
-
-
33646380663
-
Integral representation of some functions related to the gamma function
-
Berg C. Integral representation of some functions related to the gamma function. Mediterr. J. Math. 1 4 (2004) 433-439
-
(2004)
Mediterr. J. Math.
, vol.1
, Issue.4
, pp. 433-439
-
-
Berg, C.1
-
3
-
-
84966216618
-
On gamma function inequalities
-
Bustoz J., and Ismail M.E.H. On gamma function inequalities. Math. Comp. 47 (1986) 659-667
-
(1986)
Math. Comp.
, vol.47
, pp. 659-667
-
-
Bustoz, J.1
Ismail, M.E.H.2
-
4
-
-
27844459163
-
Monotonicity and convexity for the gamma function
-
Art. 100; Available online at:
-
Chen Ch.-P. Monotonicity and convexity for the gamma function. J. Inequal. Pure Appl. Math. 6 4 (2005). http://jipam.vu.edu.au/article.php?sid=574 Art. 100; Available online at:
-
(2005)
J. Inequal. Pure Appl. Math.
, vol.6
, Issue.4
-
-
Chen, Ch.-P.1
-
6
-
-
84912062631
-
The gamma function inequalities of Gurland and Gautschi
-
Erber T. The gamma function inequalities of Gurland and Gautschi. Scand. Actuar. J. 1960 (1961) 27-28
-
(1961)
Scand. Actuar. J.
, vol.1960
, pp. 27-28
-
-
Erber, T.1
-
7
-
-
85171841264
-
Some elementary inequalities relating to the gamma and incomplete gamma function
-
Gautschi W. Some elementary inequalities relating to the gamma and incomplete gamma function. J. Math. Phys. 38 (1959-60) 77-81
-
(1959)
J. Math. Phys.
, vol.38
, pp. 77-81
-
-
Gautschi, W.1
-
9
-
-
84966228652
-
Some extensions of W. Gautschi's inequalities for the gamma function
-
Kershaw D. Some extensions of W. Gautschi's inequalities for the gamma function. Math. Comp. 41 (1983) 607-611
-
(1983)
Math. Comp.
, vol.41
, pp. 607-611
-
-
Kershaw, D.1
-
10
-
-
34047143717
-
A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality
-
Qi F. A class of logarithmically completely monotonic functions and the best bounds in the first Kershaw's double inequality. J. Comput. Appl. Math. 206 2 (2007) 1007-1014
-
(2007)
J. Comput. Appl. Math.
, vol.206
, Issue.2
, pp. 1007-1014
-
-
Qi, F.1
-
11
-
-
34047144395
-
A completely monotonic function involving divided differences of psi and polygamma functions and an application
-
Art. 8; Available online at:
-
Qi F. A completely monotonic function involving divided differences of psi and polygamma functions and an application. RGMIA Res. Rep. Coll. 9 4 (2006). http://www.staff.vu.edu.au/rgmia/v9n4.asp Art. 8; Available online at:
-
(2006)
RGMIA Res. Rep. Coll.
, vol.9
, Issue.4
-
-
Qi, F.1
-
12
-
-
36348957497
-
A completely monotonic function involving divided difference of psi function and an equivalent inequality involving sum
-
Qi F. A completely monotonic function involving divided difference of psi function and an equivalent inequality involving sum. ANZIAM J. 48 4 (2007) 523-532
-
(2007)
ANZIAM J.
, vol.48
, Issue.4
, pp. 523-532
-
-
Qi, F.1
-
13
-
-
36348942775
-
Certain logarithmically N-alternating monotonic functions involving gamma and q-gamma functions
-
Qi F. Certain logarithmically N-alternating monotonic functions involving gamma and q-gamma functions. Nonlinear Funct. Anal. Appl. 12 4 (2007) 675-685
-
(2007)
Nonlinear Funct. Anal. Appl.
, vol.12
, Issue.4
, pp. 675-685
-
-
Qi, F.1
-
14
-
-
34249808898
-
Monotonicity and logarithmic convexity for a class of elementary functions involving the exponential function
-
Art. 3; Available online at:
-
Qi F. Monotonicity and logarithmic convexity for a class of elementary functions involving the exponential function. RGMIA Res. Rep. Coll. 9 3 (2006). http://www.staff.vu.edu.au/rgmia/v9n3.asp Art. 3; Available online at:
-
(2006)
RGMIA Res. Rep. Coll.
, vol.9
, Issue.3
-
-
Qi, F.1
-
15
-
-
0036001642
-
Monotonicity results and inequalities for the gamma and incomplete gamma functions
-
Qi F. Monotonicity results and inequalities for the gamma and incomplete gamma functions. Math. Inequal. Appl. 5 1 (2002) 61-67
-
(2002)
Math. Inequal. Appl.
, vol.5
, Issue.1
, pp. 61-67
-
-
Qi, F.1
-
16
-
-
34047144395
-
The best bounds in Kershaw's inequality and two completely monotonic functions
-
Art. 2; Available online at:
-
Qi F. The best bounds in Kershaw's inequality and two completely monotonic functions. RGMIA Res. Rep. Coll. 9 4 (2006). http://www.staff.vu.edu.au/rgmia/v9n4.asp Art. 2; Available online at:
-
(2006)
RGMIA Res. Rep. Coll.
, vol.9
, Issue.4
-
-
Qi, F.1
-
17
-
-
34547224723
-
Three classes of logarithmically completely monotonic functions involving gamma and psi functions
-
Qi F. Three classes of logarithmically completely monotonic functions involving gamma and psi functions. Integral Transforms Spec. Funct. 18 7 (2007) 503-509
-
(2007)
Integral Transforms Spec. Funct.
, vol.18
, Issue.7
, pp. 503-509
-
-
Qi, F.1
-
18
-
-
34249823428
-
Three-log-convexity for a class of elementary functions involving exponential function
-
Qi F. Three-log-convexity for a class of elementary functions involving exponential function. J. Math. Anal. Approx. Theory 1 2 (2006) 100-103
-
(2006)
J. Math. Anal. Approx. Theory
, vol.1
, Issue.2
, pp. 100-103
-
-
Qi, F.1
-
19
-
-
34249800432
-
Four logarithmically completely monotonic functions involving gamma function and originating from problems of traffic flow
-
Art 9; Available online at:
-
Qi F., Cao J., and Niu D.-W. Four logarithmically completely monotonic functions involving gamma function and originating from problems of traffic flow. RGMIA Res. Rep. Coll. 9 3 (2006). http://www.staff.vu.edu.au/rgmia/v9n3.asp Art 9; Available online at:
-
(2006)
RGMIA Res. Rep. Coll.
, vol.9
, Issue.3
-
-
Qi, F.1
Cao, J.2
Niu, D.-W.3
-
20
-
-
40949142017
-
Four logarithmically completely monotonic functions involving gamma function
-
Qi F., Cao J., Niu D.-W., and Chen Sh.-X. Four logarithmically completely monotonic functions involving gamma function. J. Korean Math. Soc. 45 2 (2008) 559-573
-
(2008)
J. Korean Math. Soc.
, vol.45
, Issue.2
, pp. 559-573
-
-
Qi, F.1
Cao, J.2
Niu, D.-W.3
Chen, Sh.-X.4
-
21
-
-
3442891734
-
A complete monotonicity property of the gamma function
-
Qi F., and Chen Ch.-P. A complete monotonicity property of the gamma function. J. Math. Anal. Appl. 296 2 (2004) 603-607
-
(2004)
J. Math. Anal. Appl.
, vol.296
, Issue.2
, pp. 603-607
-
-
Qi, F.1
Chen, Ch.-P.2
-
22
-
-
33645766365
-
Complete monotonicities of functions involving the gamma and digamma functions
-
Art. 8; Available online at:
-
Qi F., and Guo B.-N. Complete monotonicities of functions involving the gamma and digamma functions. RGMIA Res. Rep. Coll. 7 1 (2004) 63-72. http://www.staff.vu.edu.au/rgmia/v7n1.asp Art. 8; Available online at:
-
(2004)
RGMIA Res. Rep. Coll.
, vol.7
, Issue.1
, pp. 63-72
-
-
Qi, F.1
Guo, B.-N.2
-
23
-
-
47849114054
-
Wendel-Gautschi-Kershaw's inequalities and sufficient and necessary conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic
-
Art. 2; Available online at:
-
Qi F., and Guo B.-N. Wendel-Gautschi-Kershaw's inequalities and sufficient and necessary conditions that a class of functions involving ratio of gamma functions are logarithmically completely monotonic. RGMIA Res. Rep. Coll. 10 1 (2007). http://www.staff.vu.edu.au/rgmia/v10n1.asp Art. 2; Available online at:
-
(2007)
RGMIA Res. Rep. Coll.
, vol.10
, Issue.1
-
-
Qi, F.1
Guo, B.-N.2
-
24
-
-
33645778397
-
Some completely monotonic functions involving the gamma and polygamma functions
-
Art. 5; Available online at:
-
Qi F., Guo B.-N., and Chen Ch.-P. Some completely monotonic functions involving the gamma and polygamma functions. RGMIA Res. Rep. Coll. 7 1 (2004) 31-36. http://www.staff.vu.edu.au/rgmia/v7n1.asp Art. 5; Available online at:
-
(2004)
RGMIA Res. Rep. Coll.
, vol.7
, Issue.1
, pp. 31-36
-
-
Qi, F.1
Guo, B.-N.2
Chen, Ch.-P.3
-
25
-
-
33645814909
-
Some completely monotonic functions involving the gamma and polygamma functions
-
Qi F., Guo B.-N., and Chen Ch.-P. Some completely monotonic functions involving the gamma and polygamma functions. J. Austr. Math. Soc. 80 (2006) 81-88
-
(2006)
J. Austr. Math. Soc.
, vol.80
, pp. 81-88
-
-
Qi, F.1
Guo, B.-N.2
Chen, Ch.-P.3
-
26
-
-
33747056370
-
The best bounds in Gautschi-Kershaw inequalities
-
Qi F., Guo B.-N., and Chen Ch.-P. The best bounds in Gautschi-Kershaw inequalities. Math. Inequal. Appl. 9 3 (2006) 427-436
-
(2006)
Math. Inequal. Appl.
, vol.9
, Issue.3
, pp. 427-436
-
-
Qi, F.1
Guo, B.-N.2
Chen, Ch.-P.3
-
27
-
-
0041882790
-
Note on the gamma function
-
Wendel J.G. Note on the gamma function. Amer. Math. Monthly 55 9 (1948) 563-564
-
(1948)
Amer. Math. Monthly
, vol.55
, Issue.9
, pp. 563-564
-
-
Wendel, J.G.1
-
28
-
-
0004201980
-
-
Princeton University Press, Princeton
-
Widder D.V. The Laplace Transform (1941), Princeton University Press, Princeton
-
(1941)
The Laplace Transform
-
-
Widder, D.V.1
|