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In this paper, some logarithmically completely monotonic,
strongly completely monotonic and completely monotonic functions related
to the gamma, digamma and polygamma functions are established.
Several inequalities, whose bounds are best possible, are obtained.
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참고문헌 (26)
참고문헌 신청
A. M. Bruckner / 1962 / Some function classes related to the class of convex functions / Pacific Journal of Mathematics 12 : 1203 ~ 1215
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proceedings of the American Mathematical Society : 1153 ~ 1160
B. J. English / 1997 / Bounds for certain harmonic sums / Journal of Mathematical Analysis and Applications 206 (2) : 428 ~ 441
C. Berg / 2001 / A completely monotone function related to the gamma function / Journal of Computational and Applied Mathematics 133 (1) : 219 ~ 230
C. Berg / 2002 / Pick functions related to the gamma function / Rocky Mountain Journal of Mathematics 32 (2) : 507 ~ 525
A. Z. Grinshpan / 2006 / Completely monotonic functions involving the gamma and q-gamma functions / Proceedings of the American Mathematical Society : 1153 ~ 1160
B. J. English / 1997 / Bounds for certain harmonic sums / Journal of Mathematical Analysis and Applications 206 (2) : 428 ~ 441
C. Berg / 2001 / A completely monotone function related to the gamma function / Journal of Computational and Applied Mathematics 133 (1) : 219 ~ 230
C. Berg / 2002 / Pick functions related to the gamma function / Rocky Mountain Journal of Mathematics 32 (2) : 507 ~ 525
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