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In this article, the logarithmically complete monotonicity of some functions such as [수식],[수식],[수식] and [수식]for α ∈ R on (−1,∞) or (0,∞) are obtained, some known results are recovered, extended and generalized. Moreover, some basic properties of the logarithmically completely monotonic functions are established.
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참고문헌 (29)
참고문헌 신청
A. Erd´elyi / 1953 / Higher Transcendental Functions. Vols. I, II / McGraw-Hill Book Company, Inc.
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proc. Amer. Math. Soc. 134 (4) : 1153 ~ 1160
C. Berg / 1975 / Potential Theory on Locally Compact Abelian Groups / Springer-Verlag
C. Berg / 2002 / Pick functions related to the gamma function / Rocky Mountain J. Math. 32 (2) : 507 ~ 525
C. Berg / 2004 / Integral representation of some functions related to the gamma function / Mediterr. J. Math. 1 (4) : 433 ~ 439
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proc. Amer. Math. Soc. 134 (4) : 1153 ~ 1160
C. Berg / 1975 / Potential Theory on Locally Compact Abelian Groups / Springer-Verlag
C. Berg / 2002 / Pick functions related to the gamma function / Rocky Mountain J. Math. 32 (2) : 507 ~ 525
C. Berg / 2004 / Integral representation of some functions related to the gamma function / Mediterr. J. Math. 1 (4) : 433 ~ 439
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