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to generate the necessary formulas. An alternate procedure utilizes the Lommel functions of two variables [2]; unfortunately, the Lommel functions have not been extensively tabulated. The remaining values of v can be treated by a Taylor series expansion for small values of x and by asymptotic developments for large values of x. The main difficulty is the intermediate range where x is neither large nor small. A possible method is to use Nielsen's [3] representation

Evaluation of the incomplete gamma function of imaginary argument by Chebyshev polynomials