Necessary and sufficient conditions for complete monotonicity and monotonicity of two functions defined by two derivatives of a function involving trigamma function
Keyword(s):
In the paper, by virtue of convolution theorem for the Laplace transforms, Bernstein's theorem for completely monotonic functions, some properties of a function involving exponential function, and other analytic techniques, the author finds necessary and sufficient conditions for two functions defined by two derivatives of a function involving trigamma function to be completely monotonic or monotonic. These results generalize corresponding known ones.
2020 ◽
2020 ◽
2020 ◽
2020 ◽
2020 ◽
2013 ◽
Vol 88
(2)
◽
pp. 309-319
◽
1995 ◽
Vol 45
(3-4)
◽
pp. 195-202
◽