Results 191 to 200 of about 13,122 (219)

Exponential Asymptotics of the Mittag—Leffler Function

Constructive Approximation, 2002
The 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
openaire   +4 more sources

Star Mittag-Leffler Function

Geometry, Integrability and Quantization, 2021
Star product for functions of one variable is given. A deformation of the Mittag-Leffler functions is suggested by means of the star product.
openaire   +1 more source

q-Mittag–Leffler Functions

2012
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
openaire   +1 more source

Certain Integrals Involving Generalized Mittag-Leffler Functions

Proceedings of the National Academy of Sciences, India Section A: Physical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Agarwal, P., Chand, M., Jain, Shilpi
openaire   +2 more sources

Mittag-Leffler and Wright Functions

2021
The exponential function \(e^z\) plays an extremely important role in the theory of integer-order differential equations. For fdes, its role is subsumed by the Mittag-Leffler and Wright functions. In this chapter, we discuss their basic analytic properties and numerical computation.
openaire   +1 more source

Mittag-Leffler Functions

2019
In the previous chapter, we presented the classic hypergeometric functions that constitute the functions associated with the integer order calculus, in particular, a generalization of the factorial concept by the gamma function. In a similar way, we can understand why fractional calculus is an important tool for refining the description of many natural
openaire   +1 more source

The Classical Mittag-Leffler Function

2014
In this chapter we present the basic properties of the classical Mittag-Leffler function E α (z) (see (1.0.1)). The material can be formally divided into two parts.
Rudolf Gorenflo   +3 more
openaire   +1 more source

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