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On asymptotics of discrete Mittag-Leffler function

Luděk Nechvátal (2014)

Mathematica Bohemica

The (modified) two-parametric Mittag-Leffler function plays an essential role in solving the so-called fractional differential equations. Its asymptotics is known (at least for a subset of its domain and special choices of the parameters). The aim of the paper is to introduce a discrete analogue of this function as a solution of a certain two-term linear fractional difference equation (involving both the Riemann-Liouville as well as the Caputo fractional h -difference operators) and describe its...

On Baire measurable solutions of some functional equations

Karol Baron (2009)

Open Mathematics

We establish conditions under which Baire measurable solutions f of Γ ( x , y , | f ( x ) - f ( y ) | ) = Φ ( x , y , f ( x + φ 1 ( y ) ) , . . . , f ( x + φ N ( y ) ) ) defined on a metrizable topological group are continuous at zero.

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