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Exponential Asymptotics of the Mittag—Leffler Function
Constructive Approximation, 2002The authors give a very detailed analysis of asymptotic behaviour (near infinity) of the Mittag-Leffler function \(E_{\alpha,\beta}\), thereby putting special emphasis on possible occurrence of exponentially small additional terms after the algebraically decaying terms.
Wong, R., Zhao, Yu-Qiu
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Star product for functions of one variable is given. A deformation of the Mittag-Leffler functions is suggested by means of the star product.
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The classical Mittag–Leffler function plays an important role in fractional differential equations. In this chapter we mention in brief the q-analogues of the Mittag–Leffler functions defined by mathematicians. We pay attention to a pair of q-analogues of the Mittag–Leffler function that may be considered as a generalization of the q-exponential ...
Mahmoud H. Annaby, Zeinab S. Mansour
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