Geodesic
Integral representations for binomial sums of chances of winning
Ars mathematica contemporanea, Volume 12 (2017) no. 2, pp. 329-336

See the original article notice from the Ars Mathematica Contemporanea website source

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 
Zhao Dong; Wenbo V. Li; Chunwei Song. Integral representations for binomial sums of chances of winning. Ars mathematica contemporanea, Volume 12 (2017) no. 2, pp. 329-336. doi: 10.26493/1855-3974.461.4aa
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     author = {Zhao Dong and Wenbo V. Li and Chunwei Song},
     title = {
		{Integral} representations for binomial sums of chances of winning
	},
     journal = {Ars mathematica contemporanea},
     pages = {329--336},
     year = {2017},
     volume = {12},
     number = {2},
     doi = {10.26493/1855-3974.461.4aa},
     language = {en},
     url = {http://geodesic.mathdoc.fr/articles/10.26493/1855-3974.461.4aa/}
}
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