Extended de Montmort-Prudnikov Sum

نویسندگان

چکیده

Using a contour integral method, the de Montmort-Prudnikov sum is extended to derive new series representation involving incomplete gamma function. The uniformly convergent and completely analytical, which can be evaluated for general complex ranges of parameters involved. Applications evaluations this formula are discussed.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11020333