Wright Function Special Functions Integral Representations Numerical Evaluation of Special Functions Asymptotic Representations 33E12 65D20 33F05 30E15
Issue Date:
2008
Publisher:
Institute of Mathematics and Informatics Bulgarian Academy of Sciences
Citation:
Fractional Calculus and Applied Analysis, Vol. 11, No 1, (2008), 57p-75p
Abstract:
The paper deals with analysis of several techniques and methods for the
numerical evaluation of the Wright function. Even if the focus is mainly on
the real arguments’ values, the methods introduced here can be used in the
complex plane, too. The approaches presented in the paper include integral
representations of the Wright function, its asymptotic expansions and
summation of series. Because the Wright function depends on two parameters
and on one (in general case, complex) argument, different numerical
techniques are employed for different parameters’ values. In every case,
estimates for accuracy of the computations are provided. The ideas and
techniques employed in the paper can be used for numerical evaluation of
other functions of the hypergeometric type.
