We prove a remarkable formula of Ramanujan for the logarithmic derivative of the gamma function, which converges more rapidly than classical expansions, and which is stated without proof in the notebooks [5]. The formula has a number of very interesting consequences which we derive, including an ...
HPA axis suppression should be considered in patients receiving doses of 20 mg/day or more for 3 weeks or longer, although suppression can occur with lower doses. Formal evaluations can be performed to test the integrity of the HPA axis, but in most cases, a scheduled tapering of ...
The extended ternary complex model is thermodynamically incomplete as there is no explicit equilibrium between the active receptor:G protein complexes (with and without ligand) and the equivalent inactive receptor:G protein complexes. This led to a logical extension to the cubic ternary com...
and γ(a, x) is the incomplete gamma function. We should note that one can prove that the asymptotic expression for DDR as well as the corrections to them do not depend on the auxiliary parameter α (thus it is unreasonable to determine the parameter α from a fit to data). So we...
Although thiazides cause less distortion of the electrolyte composition of the extra-cellular fluid than other classes of diuretics, there is also lower intensity of diuresis produced by these drugs. This class contains many sulfonamide chemical entities and thus may cause an allergic reaction in ...
Incomplete Gamma functionWhittaker M functionFractional differential equationIn this paper, we propose a new scheme for the temporal discretization of the new Caputo-Hadamard fractional derivative in the form of incomplete gmma function via Whittaker M function. We derive the truncation error for the ...
Conditions for Convexity of a derivative and some applications to the Gamma function - Merkle - 1998 () Citation Context ...easy to show that condition (6.4) is implied by the condition that f ′′(x)→ 0 as x→ +∞. The rest follows from Theorem 6.3. 7 Equivalent Conditions for ...
Gamma function(qk)-analogueinequalityBy using the generalized Holder's and Minkowski's integral inequalities, some inequalities for the m-th derivative of the (q, k)-Gamma function are established. Consequently, some previous results are recovered as particular cases of the present results....
The surface method is still in use, being less labor- and energy-intensive and with much lower susceptibility to trace metal ions. The fermentation is carried out in aluminum trays, where spores are dispersed on the surface of the nutrient medium. The fungus forms a mat and yields reported ...
Carbon monoxide and cyanide compounds are found widely in the environment as a result of natural processes and human activity. CO is produced mainly by incomplete combustion of carbon-based fuels. It is a major toxic component of emissions from natural fires, gasoline (petrol) engines, h...