On the multi-index Mittag-Leffler series and their boundary behaviour

DOI10.1080/10652469.2014.975129zbMath1315.33025OpenAlexW2094131367MaRDI QIDQ5498535

Jordanka Paneva-Konovska

Publication date: 9 February 2015

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

Full work available at URL: https://doi.org/10.1080/10652469.2014.975129

zbMATH Keywords

Mittag-Leffler functionasymptotic estimateFatou-type theoremconvergence of series in a complex planemulti-index generalizationsseries in multi-index Mittag-Leffler functions

Mathematics Subject Classification ID

Convergence and divergence of series and sequences of functions (40A30) Power series (including lacunary series) in one complex variable (30B10) Mittag-Leffler functions and generalizations (33E12) Special classes of entire functions of one complex variable and growth estimates (30D15) Inequalities in the complex plane (30A10) Boundary behavior (theorems of Fatou type, etc.) of harmonic functions in two dimensions (31A20)

Related Items (1)

On some relations in the class of multi-index Mittag-Leffler functions

Cites Work

• Unnamed Item
• Existence of a periodic mild solution for a nonlinear fractional differential equation
• 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
• Wright functions as scale-invariant solutions of the diffusion-wave equation
• Multiple (multiindex) Mittag-Leffler functions and relations to generalized fractional calculus
• The derivation of the generalized functional equations describing self-similar processes
• From the hyper-Bessel operators of Dimovski to the generalized fractional calculus
• A family of hyper-Bessel functions and convergent series in them
• Multi-parametric Mittag-Leffler functions and their extension
• Hardy-type theorem for orthogonal functions with respect to their zeros. The Jacobi weight case
• Velocity and displacement correlation functions for fractional generalized Langevin equations
• Matrix-variate statistical distributions and fractional calculus
• The convergence of series in multi-index Mittag-Leffler functions
• The Multi-index Mittag-Leffler Functions and Their Applications for Solving Fractional Order Problems in Applied Analysis
• Generalized mittag-leffler function and generalized fractional calculus operators
• On the Coefficients of Power Series Having Exponential Singularities
• Special Functions for Applied Scientists
• Convergence of series in three parametric Mittag-Leffler functions

This page was built for publication: On the multi-index Mittag-Leffler series and their boundary behaviour