In this paper algorithms for numerical evaluation of the Mittag-Leffler function Eα,β(z) = k=0 zk Γ(β + αk), α> 0, β ∈ R, z ∈ C and its derivative for all values of the parameters α> 0, β ∈ R and all values of the argument z ∈ C are presented. For different parts of the complex plane different numerical techniques are used. In every case we provide estimates for accuracy of the computation; numerous pictures showing the behaviour of the Mittag-Leffler function for different values of the parameters and on different lines in the complex plane are included. The ideas und techniques employed in the paper can be used for numerical evaluation of other functions of the hypergeometric type. In particular, the same method with some small modi...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
This paper addresses the problem of the numerical computation of generalized Mittag-Leffler function...
In this paper algorithms for numerical evaluation of the Mittag-Leffler function Eα,β(z) = k=0 zk Γ(...
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few method...
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few method...
The Mittag-Leffler function (MLF) plays an important role in many applications of fractional calculu...
This paper addresses the problem of the numerical computation of generalized Mittag-Leffler function...
Abstract In this paper, we establish some (presumably new) differential equation formulas for the ex...
Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler functio...
Abstract. The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very ...
Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler functio...
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in ...
Orientador: Edmundo Capelas de OliveiraDissertação (mestrado) - Universidade Estadual de Campinas, I...
Some analytical properties of the Mittag-Leffler functions, $e_{\alpha}(t) \equiv E_{\alpha}(-t^{\al...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
This paper addresses the problem of the numerical computation of generalized Mittag-Leffler function...
In this paper algorithms for numerical evaluation of the Mittag-Leffler function Eα,β(z) = k=0 zk Γ(...
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few method...
The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very few method...
The Mittag-Leffler function (MLF) plays an important role in many applications of fractional calculu...
This paper addresses the problem of the numerical computation of generalized Mittag-Leffler function...
Abstract In this paper, we establish some (presumably new) differential equation formulas for the ex...
Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler functio...
Abstract. The Mittag-Leffler (ML) function plays a fundamental role in fractional calculus but very ...
Recently simple limiting functions establishing upper and lower bounds on the Mittag-Leffler functio...
The computation of the Mittag-Leffler (ML) function with matrix arguments, and some applications in ...
Orientador: Edmundo Capelas de OliveiraDissertação (mestrado) - Universidade Estadual de Campinas, I...
Some analytical properties of the Mittag-Leffler functions, $e_{\alpha}(t) \equiv E_{\alpha}(-t^{\al...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
In this chapter we discuss the problem of the fast and reliable computation of the Mittag-Leffler fu...
This paper addresses the problem of the numerical computation of generalized Mittag-Leffler function...