Qi, F., Guo, S.L.: Inequalities for the incomplete gamma and related functions. Math. Inequal. Appl. 2(1), 47–53 (1999) MathSciNet MATH Google Scholar Qi, F., Mei, J.Q.: Some inequalities of the incomplete gamma and related functions. Z. Anal. Anwend. 18(3), 793–799 ...
For 伪 = 1, the Erlang functions are particular cases of the lower/upper incomplete gamma functions 螕(a, x), corresponding to integer values a = n of the parameter. Note that the lower one equals also a鈭 1xae鈭抶F1,1(1, 1 + a; x) where F1,1(1, 1 + a; x) is the ...
It is possible that reward information is not ubiquitously distributed when these task requirements are not in place, since outcomes resulting from nonchoice events may not be deemed as important as those that do (Tricomi et al., 2004, O'Doherty et al., 2004). This needs to be tested in...
Almost all Hurwitz-Lerch zeta functions have an asymmetrical zero distribution. Keywords: Hurwitz-Lerch zeta function; incomplete gamma function; Catalan’s constant; Apréy’s constant; Cauchy integral; contour integral MSC: Primary 30E20; 33-01; 33-03; 33-04; 33-33B; 33E20; 33E33C 1. ...
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model 𝐺𝛼(𝑡) for the case of rational parameter 𝛼=𝑚/𝑛∈(0,1) in terms of Mittag–Leffler functions from its Laplace transform 𝐺̃𝛼(𝑠...
In the framework of the theory of linear viscoelasticity, we derive an analytical expression of the relaxation modulus in the Andrade model 𝐺𝛼(𝑡)Gαt for the case of rational parameter 𝛼=𝑚/𝑛∈(0,1)α=m/n∈(0,1) in terms of Mittag–Leffler functions from its Laplace tran...
where g 1 ( x ) and g 2 ( x ) are the densities of the Pareto and loggamma distribution respectively. Proof of Proposition 1. Let X i be a MPLG rv’s with parameter ( θ i , λ i , x 0 i ) , i = 1 , 2 . Then d d x log f X 1 ( x ) f X 2 ( x ) = ...