Geodesic
Integral representations for binomial sums of chances of winning
Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 329-336.

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Addona, Wagon and Wilf (Ars Math. Contemp. 4 (1) (2011), 29-62) examined a problem about the winning chances in tossing unbalanced coins. Here we present some integral representations associated with such winning probabilities in a more general setting via using certain Fourier transform method. When our newly introduced parameters (r, d) are set to be (0, 1), one of our results reduces to the main formula in the above reference.
DOI : 10.26493/1855-3974.461.4aa
Keywords: Binomial sum, integral representation, probabilistic analysis, unbalanced coin 
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Zhao Dong; Wenbo V. Li; Chunwei Song. Integral representations for binomial sums of chances of winning. Ars Mathematica Contemporanea, Tome 12 (2017) no. 2, pp. 329-336. doi : 10.26493/1855-3974.461.4aa. http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.461.4aa/

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