On complete monotonicity of the Prabhakar function and non-Debye relaxation in dielectrics
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[1] E. Wright. The Asymptotic Expansion of the Generalized Hypergeometric Function , 1935 .
[2] E. C. Titchmarsh. Introduction to the Theory of Fourier Integrals , 1938 .
[3] A. Offord. Introduction to the Theory of Fourier Integrals , 1938, Nature.
[4] K. Cole,et al. Dispersion and Absorption in Dielectrics I. Alternating Current Characteristics , 1941 .
[5] K. Cole,et al. Dispersion and Absorption in Dielectrics II. Direct Current Characteristics , 1942 .
[6] D. Widder,et al. The Laplace Transform , 1943, The Mathematical Gazette.
[7] R. Cole,et al. Dielectric Relaxation in Glycerol, Propylene Glycol, and n‐Propanol , 1951 .
[8] E. M. Wright. The Asymptotic Expansion of the Generalised Hypergeometric Function , 1952 .
[9] S. Havriliak,et al. A complex plane representation of dielectric and mechanical relaxation processes in some polymers , 1967 .
[10] T. R. Prabhakar. A SINGULAR INTEGRAL EQUATION WITH A GENERALIZED MITTAG LEFFLER FUNCTION IN THE KERNEL , 1971 .
[11] Lokenath Debnath,et al. Introduction to the Theory and Application of the Laplace Transformation , 1974, IEEE Transactions on Systems, Man, and Cybernetics.
[12] Olof J. Staffans,et al. Volterra Integral and Functional Equations , 1990 .
[13] José Francisco Rodrigues,et al. Trends in Applications of Mathematics to Mechanics , 1995 .
[14] Reiner Zorn,et al. Applicability of distribution functions for the Havriliak-Negami spectral function , 1999 .
[15] K. Miller,et al. Completely monotonic functions , 2001 .
[16] Unified Fractional Kinetic Equation and a Fractional Diffusion Equation , 2004, math-ph/0406047.
[17] R. Hilfer,et al. NUMERICAL RESULTS FOR THE GENERALIZED MITTAG-LEER FUNCTION , 2005 .
[18] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations , 2006 .
[19] H. Srivastava,et al. Theory and Applications of Fractional Differential Equations, Volume 204 (North-Holland Mathematics Studies) , 2006 .
[20] Rudolf Hilfer,et al. Computation of the generalized Mittag-Leffler function and its inverse in the complex plane , 2006 .
[21] Lloyd N. Trefethen,et al. Parabolic and hyperbolic contours for computing the Bromwich integral , 2007, Math. Comput..
[22] S. Havriliak,et al. A complex plane analysis of α‐dispersions in some polymer systems , 2007 .
[23] Rudolf Hilfer,et al. Numerical Algorithm for Calculating the Generalized Mittag-Leffler Function , 2008, SIAM J. Numer. Anal..
[24] R. B. Paris,et al. Exponentially small expansions in the asymptotics of the Wright function , 2010, J. Comput. Appl. Math..
[25] Arak M. Mathai,et al. Mittag-Leffler Functions and Their Applications , 2009, J. Appl. Math..
[26] F. Mainardi,et al. Models based on Mittag-Leffler functions for anomalous relaxation in dielectrics , 2011, 1106.1761.
[27] Roberto Garrappa,et al. Evaluation of generalized Mittag–Leffler functions on the real line , 2013, Adv. Comput. Math..
[28] Lloyd N. Trefethen,et al. The Exponentially Convergent Trapezoidal Rule , 2014, SIAM Rev..
[29] Federico Polito,et al. Hilfer-Prabhakar derivatives and some applications , 2014, Appl. Math. Comput..
[30] Roberto Garrappa,et al. Numerical Evaluation of Two and Three Parameter Mittag-Leffler Functions , 2015, SIAM J. Numer. Anal..
[31] Dispersion and Absorption in Dielectrics 1 , 2022 .