SCOPUS 정보 검색 플랫폼

Journal of Mathematical Analysis and Applications

Volumn 355, Issue 1, 2009, Pages 33-40

Completely monotonic functions of positive order and asymptotic expansions of the logarithm of Barnes double gamma function and Euler's gamma function

(2) Koumandos, Stamatis a Pedersen, Henrik L b

a UNIVERSITY OF CYPRUS (Cyprus)

b UNIVERSITY OF COPENHAGEN (Denmark)

Author keywords

Asymptotic expansion; Barnes G function; Completely monotonic function of positive order; Double gamma function; Gamma function; Strong complete monotonicity

Indexed keywords

EID: 60749112307 PISSN: 0022247X EISSN: 10960813 Source Type: Journal
DOI: 10.1016/j.jmaa.2009.01.042 Document Type: Article

Times cited : (75)

References (14)

1
- 0003361328
- Special Functions
- Cambridge Univ. Press, Cambridge
- Andrews G.E., Askey R., and Roy R. Special Functions. Encyclopedia Math. Appl. (1999), Cambridge Univ. Press, Cambridge
- (1999) Encyclopedia Math. Appl.
- Andrews, G.E.¹ Askey, R.² Roy, R.³

2
- 0042376839
- On some inequalities for the gamma and psi functions
- Alzer H. On some inequalities for the gamma and psi functions. Math. Comp. 66 217 (1997) 373-389
- (1997) Math. Comp. , vol.66 , Issue.217 , pp. 373-389
- Alzer, H.¹

3
- 0011526838
- Sur un théorème de M.S. Bernstein relatif á la transformation de Laplace-Stieltjes
- Dubourdieu J. Sur un théorème de M.S. Bernstein relatif á la transformation de Laplace-Stieltjes. Compos. Math. 7 (1939) 96-111
- (1939) Compos. Math. , vol.7 , pp. 96-111
- Dubourdieu, J.¹

4
- 0001285992
- An asymptotic expansion of the double gamma function
- Ferreira C., and López J.L. An asymptotic expansion of the double gamma function. J. Approx. Theory 111 (2001) 298-314
- (2001) J. Approx. Theory , vol.111 , pp. 298-314
- Ferreira, C.¹ López, J.L.²

5
- 0001160530
- Error bounds for asymptotic expansions of the ratio of two gamma functions
- Frenzen C.L. Error bounds for asymptotic expansions of the ratio of two gamma functions. SIAM J. Math. Anal. 18 (1987) 890-896
- (1987) SIAM J. Math. Anal. , vol.18 , pp. 890-896
- Frenzen, C.L.¹

6
- 0030524935
- Completely monotonic and related functions
- van Haeringen H. Completely monotonic and related functions. J. Math. Anal. Appl. 204 (1996) 389-408
- (1996) J. Math. Anal. Appl. , vol.204 , pp. 389-408
- van Haeringen, H.¹

7
- 33749527357
- Remarks on some completely monotonic functions
- Koumandos S. Remarks on some completely monotonic functions. J. Math. Anal. Appl. 324 2 (2006) 1458-1461
- (2006) J. Math. Anal. Appl. , vol.324 , Issue.2 , pp. 1458-1461
- Koumandos, S.¹

8
- 38949153172
- On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function
- Koumandos S. On Ruijsenaars' asymptotic expansion of the logarithm of the double gamma function. J. Math. Anal. Appl. 341 2 (2008) 1125-1132
- (2008) J. Math. Anal. Appl. , vol.341 , Issue.2 , pp. 1125-1132
- Koumandos, S.¹

9
- 20944444899
- On the remainder in an asymptotic expansion of the double gamma function
- Pedersen H.L. On the remainder in an asymptotic expansion of the double gamma function. Mediterr. J. Math. 2 (2005) 171-178
- (2005) Mediterr. J. Math. , vol.2 , pp. 171-178
- Pedersen, H.L.¹

10
- 38349146537
- The remainder in Ruijsenaars' asymptotic expansion of Barnes double gamma function
- Pedersen H.L. The remainder in Ruijsenaars' asymptotic expansion of Barnes double gamma function. Mediterr. J. Math. 4 (2007) 419-433
- (2007) Mediterr. J. Math. , vol.4 , pp. 419-433
- Pedersen, H.L.¹

11
- 0034357401
- On Barnes' multiple zeta and gamma functions
- Ruijsenaars S.N.M. On Barnes' multiple zeta and gamma functions. Adv. Math. 156 (2000) 107-132
- (2000) Adv. Math. , vol.156 , pp. 107-132
- Ruijsenaars, S.N.M.¹

12
- 0003393809
- Wiley
- Temme N.M. Special Functions: An Introduction to Classical Functions of Mathematical Physics (1996), Wiley
- (1996) Special Functions: An Introduction to Classical Functions of Mathematical Physics
- Temme, N.M.¹

13
- 0012100570
- Superadditive functions and a statistical application
- Trimble S.Y., Wells J., and Wright F.T. Superadditive functions and a statistical application. SIAM J. Math. Anal. 20 5 (1989) 1255-1259
- (1989) SIAM J. Math. Anal. , vol.20 , Issue.5 , pp. 1255-1259
- Trimble, S.Y.¹ Wells, J.² Wright, F.T.³

14
- 0004201980
- Princeton Univ. Press, Princeton
- Widder D.V. The Laplace Transform (1946), Princeton Univ. Press, Princeton
- (1946) The Laplace Transform
- Widder, D.V.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.