We prove a monotonicity property of the Hurwitz zeta function which, in turn, translates into a chain of inequalities for polygamma functions of different orders. We provide a probabilistic interpretation of our result by exploiting a connection between Hurwitz zeta function and the cumulants of the exponential-beta distribution
In this paper, we introduce a function, ; ( , ,)z s a , which is an extension to the general H...
Abstract: Motivated largely by a number of recent investigations, we introduce and investigate the v...
Motivated largely by a number of recent investigations, we introduce and investigate the various pro...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
We establish various new inequalities for the Hurwitz\ud zeta function. Our results generalize some ...
We establish various new inequalities for the Hurwitz zeta function. Our results generalize some kn...
We establish various new inequalities for the Hurwitz zeta function. Our results generalize some kn...
AbstractPresented in a continuous extension of a measure used by Sal Golomb to define a probability ...
AbstractPresented in a continuous extension of a measure used by Sal Golomb to define a probability ...
In this paper several monotonicity properties and inequalities are given for $Gamma$ and $Gamma_q$ f...
In the paper, the lower limit in the universality inequality for the Hurwitz zeta-function is replac...
Three generalised distributions are studied in this thesis from different aspects. The Hurwitz-Lerch...
In this paper we deal with analytical properties of the Zipf-Mandelbrot law. If total mass of this l...
In this paper, we introduce a function, ; ( , ,)z s a , which is an extension to the general H...
Abstract: Motivated largely by a number of recent investigations, we introduce and investigate the v...
Motivated largely by a number of recent investigations, we introduce and investigate the various pro...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
International audienceWe prove a monotonicity property of the Hurwitz zeta function which, in turn, ...
We establish various new inequalities for the Hurwitz\ud zeta function. Our results generalize some ...
We establish various new inequalities for the Hurwitz zeta function. Our results generalize some kn...
We establish various new inequalities for the Hurwitz zeta function. Our results generalize some kn...
AbstractPresented in a continuous extension of a measure used by Sal Golomb to define a probability ...
AbstractPresented in a continuous extension of a measure used by Sal Golomb to define a probability ...
In this paper several monotonicity properties and inequalities are given for $Gamma$ and $Gamma_q$ f...
In the paper, the lower limit in the universality inequality for the Hurwitz zeta-function is replac...
Three generalised distributions are studied in this thesis from different aspects. The Hurwitz-Lerch...
In this paper we deal with analytical properties of the Zipf-Mandelbrot law. If total mass of this l...
In this paper, we introduce a function, ; ( , ,)z s a , which is an extension to the general H...
Abstract: Motivated largely by a number of recent investigations, we introduce and investigate the v...
Motivated largely by a number of recent investigations, we introduce and investigate the various pro...