mlf: Mittag-Leffler Function.

Description Usage Arguments Value References Examples

View source: R/MittagLefflerFunc.R

Description

The generalized (two-parameter) Mittag-Leffer function is defined by the power series

E_{α,β} (z) = ∑_{k=0}^∞ z^k / Γ(α k + β)

for complex z and complex α, β with Real(α) > 0 (only implemented for real valued parameters).

Usage

1
mlf(z, a, b = 1, g = 1)

Arguments

z

The argument (real-valued)

a, b, g

Parameters of the Mittag-Leffler distribution; see Garrappa

Value

mlf returns the value of the Mittag-Leffler function.

References

Garrappa, R. (2015). Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions. SIAM Journal on Numerical Analysis, 53(3), 1350<e2><80><93>1369. http://doi.org/10.1137/140971191

The Mittag-Leffler function. MathWorks File Exchange. https://au.mathworks.com/matlabcentral/fileexchange/48154-the-mittag-leffler-function

Examples

1
mlf(2,0.7)

Example output

[1] 20.96643

MittagLeffleR documentation built on May 2, 2019, 1:42 p.m.