Please use this identifier to cite or link to this item: http://hdl.handle.net/10525/1298

 Title: Algorithms for Evaluation of the Wright Function for the Real Arguments’ Values Authors: Luchko, Yury Keywords: Wright FunctionSpecial FunctionsIntegral RepresentationsNumerical Evaluation of Special FunctionsAsymptotic Representations33E1265D2033F0530E15 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. Description: 2000 Math. Subject Classification: 33E12, 65D20, 33F05, 30E15 URI: http://hdl.handle.net/10525/1298 ISSN: 1311-0454 Appears in Collections: 2008

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