The convergence of series in multi-index Mittag-Leffler functions

DOI10.1080/10652469.2011.575567zbMath1260.30004OpenAlexW2025945572MaRDI QIDQ2880456

Jordanka Paneva-Konovska

Publication date: 13 April 2012

Published in: Integral Transforms and Special Functions (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/10652469.2011.575567

zbMATH Keywords

asymptotic formulasummation of seriesMittag-Leffler functions

Mathematics Subject Classification ID

Mittag-Leffler functions and generalizations (33E12) Dirichlet series, exponential series and other series in one complex variable (30B50)

Related Items (5)

On some relations in the class of multi-index Mittag-Leffler functions ⋮ Fractional wave equation with a frictional memory kernel of Mittag-Leffler type ⋮ On the multi-index Mittag-Leffler series and their boundary behaviour ⋮ A family of hyper-Bessel functions and convergent series in them ⋮ Multi-parametric Mittag-Leffler functions and their extension

Cites Work

• The multi-index Mittag-Leffler functions as an important class of special functions of fractional calculus
• The special functions of fractional calculus as generalized fractional calculus operators of some basic functions
• Fractional differential equations. An introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications
• Transmutation method for the solving Erdélyi-Kober fractional differintegral equations
• A multi-index Borel-Dzrbashjan transform
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• Solution of a fractional differintegral equation
• AN EXAMPLE IN THE THEORY OF THE SPECTRUM OF A FUNCTION
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