Add to ORKGIn the paper, necessary and sufficient conditions are presented for a function involving the divided difference of the psi function to be completely monotonic and for a function involving the ratio of two gamma functions to be logarithmically completely monotonic. From these, some double inequalities are derived for bounding polygamma functions, divided differences of polygamma functions and the ratio of two gamma functions. 10.1017/S000497271200102
Abstract In the paper, the authors concisely survey and review some func-tions involving the gamma f...
Feng Qi and Ai-Qi Liu, Completely monotonic degrees for a difference between the logarithmic and psi...
Abstract In this paper, by using the properties of an auxiliary function, we mainly present the nece...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
A function involving the divided differences of the psi function and the polygamma functions is pro...
AbstractIn this paper, some properties associated with the complete monotonicity and the logarithmic...
AbstractWe present some complete monotonicity and logarithmically complete monotonicity properties f...
Abstract In the expository and survey paper, along one of main lines of bounding the ratio of two ga...
In this paper, a function involving the divided difference of the\ud psi function is proved to be co...
In this paper, a function involving the divided difference of the psi function is proved to be comp...
In the article, the sufficient and necessary conditions such that a class of functions which involv...
In the article, the sufficient and necessary conditions such that a\ud class of functions which invo...
Abstract In the paper, the authors concisely survey and review some func-tions involving the gamma f...
Feng Qi and Ai-Qi Liu, Completely monotonic degrees for a difference between the logarithmic and psi...
Abstract In this paper, by using the properties of an auxiliary function, we mainly present the nece...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
In the paper, necessary and sufficient conditions are presented for a function involving the divided...
A function involving the divided differences of the psi function and the polygamma functions is pro...
AbstractIn this paper, some properties associated with the complete monotonicity and the logarithmic...
AbstractWe present some complete monotonicity and logarithmically complete monotonicity properties f...
Abstract In the expository and survey paper, along one of main lines of bounding the ratio of two ga...
In this paper, a function involving the divided difference of the\ud psi function is proved to be co...
In this paper, a function involving the divided difference of the psi function is proved to be comp...
In the article, the sufficient and necessary conditions such that a class of functions which involv...
In the article, the sufficient and necessary conditions such that a\ud class of functions which invo...
Abstract In the paper, the authors concisely survey and review some func-tions involving the gamma f...
Feng Qi and Ai-Qi Liu, Completely monotonic degrees for a difference between the logarithmic and psi...
Abstract In this paper, by using the properties of an auxiliary function, we mainly present the nece...