Mittag-leeer Type Functions: Notes on Growth Properties and Distribution of Zeros
نویسندگان
چکیده
Integral representations, asymptotic behaviour and distribution of zeros for classical Mittag-Leeer functions as well as for the functions of Mittag-Leeer type are discussed. They are obtained by diierent approaches. Special attention is paid to the questions of growth regularity of these functions.
منابع مشابه
On the Cole-cole Relaxation Function and Related Mittag-leeer Distribution
In the framework of the one-dimensional Fractal Time Random Walk (FTRW) relaxation model, we rigorously show that the frequency domain response takes, in both nonbiased and biased walks, the only possible Cole-Cole form. The underlying reason for this is the speciic form of the relaxation function (the survival probability of a relaxing system) determined in this model by the Mittag-Leeer distr...
متن کاملFe b 20 02 Linear combinations of sections and tails of Mittag – Leffler functions and their zeros
The zero distribution of sections of Mittag–Leffler functions of order ρ > 1 was studied in 1983 by A. Edrei, E.B. Saff and R.S. Varga. In the present paper, we study the zero distribution of linear combinations of sections and tails of Mittag–Leffler functions of order ρ > 1.
متن کاملGeneralized Ritt type and generalized Ritt weak type connected growth properties of entire functions represented by vector valued Dirichlet series
In this paper, we introduce the idea of generalized Ritt type and generalised Ritt weak type of entire functions represented by a vector valued Dirichlet series. Hence, we study some growth properties of two entire functions represented by a vector valued Dirichlet series on the basis of generalized Ritt type and generalised Ritt weak type.
متن کاملAutoconvolution equations and generalized Mittag-Leffler functions
This article is devoted to study of the autoconvolution equations and generalized Mittag-Leffler functions. These types of equations are given in terms of the Laplace transform convolution of a function with itself. We state new classes of the autoconvolution equations of the first kind and show that the generalized Mittag-Leffler functions are solutions of these types of equations. In view of ...
متن کاملMatrix Mittag-Leffler functions of fractional nabla calculus
In this article, we propose the definition of one parameter matrix Mittag-Leffler functions of fractional nabla calculus and present three different algorithms to construct them. Examples are provided to illustrate the applicability of suggested algorithms.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
عنوان ژورنال:
دوره شماره
صفحات -
تاریخ انتشار 1997