Logarithmic functions are eigenfunctions of integral operators with \(M\)-Wright kernels
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Publication:2656110
DOI10.1016/j.cam.2021.113457zbMath1464.33002OpenAlexW3126273613MaRDI QIDQ2656110
Publication date: 10 March 2021
Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.cam.2021.113457
Gamma, beta and polygamma functions (33B15) Mittag-Leffler functions and generalizations (33E12) Laplace transform (44A10) Integral operators (45P05)
Related Items (3)
Some integral representations for the Faxén function ⋮ Distributed order fractional diffusion equation with fractional Laplacian in axisymmetric cylindrical configuration ⋮ Wiener-Hopf technique for a fractional mixed boundary value problem in cylindrical layer
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Cites Work
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- On the Volterra \(\mu\)-functions and the M-Wright functions as kernels and eigenfunctions of Volterra type integral operators
- Finite fractional Sturm-Liouville transforms for generalized fractional derivatives
- A substitution theorem for the Laplace transformation and its generalization to transformations with symmetric kernel
- On fractional calculus of \(\mathcal A_{2n+1}(x)\) function
- Stability and dynamics of neutral and integro-differential regularized Prabhakar fractional differential systems
- On Mellin transforms of solutions of differential equation \(\chi^{(n)}(x)+\gamma_nx\chi (x)=0\)
- Lyapunov inequality for fractional differential equations with Prabhakar derivative
- New identities for the Wright and the Mittag-Leffler functions using the Laplace transform
- On M-Wright transforms and time-fractional diffusion equations
- Airy functions and Riesz fractional trigonometric operators
- The Fractional Order Fourier Transform and its Application to Quantum Mechanics
- Fractionalization of Hankel Transforms
- Some integral identities for products of Airy functions using integral transforms
- Green's function of two-dimensional time-fractional diffusion equation using addition formula of Wright function
- Macdonald's identities and integral representations of products of Airy functions
- Some results involving integral transforms of Airy functions
- Operational Calculus and Related Topics
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