An alpha-beta phase diagram representation of the zeros and properties of the Mittag-Leffler function

DOI10.1155/2013/421685zbMath1291.30034OpenAlexW2102006069WikidataQ58918835 ScholiaQ58918835MaRDI QIDQ2248430

John W. Hanneken, B. N. Narahari Achar, David M. Vaught

Publication date: 26 June 2014

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2013/421685

Mathematics Subject Classification ID

Zeros of polynomials, rational functions, and other analytic functions of one complex variable (e.g., zeros of functions with bounded Dirichlet integral) (30C15) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (6)

Existence of solutions of the abstract Cauchy problem of fractional order ⋮ Lyapunov-type inequality for fractional boundary value problems with Hilfer derivative ⋮ Extremal solutions of nonlinear functional discontinuous fractional equations ⋮ Fractional Sturm-Liouville eigenvalue problems. I. ⋮ On analytic semigroup generators involving Caputo fractional derivative ⋮ ADVANCES IN ANALYSIS OF CAPUTO FRACTIONAL-ORDER NONAUTONOMOUS SYSTEMS: FROM STABILITY TO GLOBAL UNIFORM ASYMPTOTIC STABILITY

Cites Work

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• On a zeroes of Mittag-Leffler functions with parameter \(\rho <1/2\)
• Zeros distribution of Mittag-Leffler functions
• On zeros of a certain family of Mittag-Leffler functions
• Nonasymptotic results on distribution of zeros of the function \(E_p(z,\mu)\)
• Harmonic analysis and boundary value problems in the complex domain
• Asymptotic formulae for zeros of a function of Mittag-Leffler's type
• Nonasymptotic properties of roots of a Mittag-Leffler type function
• Completely monotone generalized Mittag-Leffler functions
• Eigenvalue problems for fractional ordinary differential equations
• A note on the complete monotonicity of the generalized Mittag-Leffler function
• A Problem on the zeros of the Mittag-Leffler function and the spectrum of a fractional-order differential operator
• Completely monotonic functions
• Fractional-order systems and PI/sup /spl lambda//D/sup /spl mu//-controllers
• Enumeration of the Real Zeros of the Mittag-Leffler Function Eα(z), 1 <α< 2
• Computation of the generalized Mittag-Leffler function and its inverse in the complex plane

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