Inequalities and Bounds for the Incomplete Gamma Function

By Edward Neuman. 2013

54 citations recorded by the source corpus.

Subfields: Applied Mathematics

View Paper: https://www.semanticscholar.org/paper/d7ee639b05a5de17cda31863541667e6fe62fa64

Citations in the corpus

• The Expressive Power of a Class of Normalizing Flow Models (2020, unknown): “The incomplete Gamma function can be upper bounded below (Neuman, 2013): γ(a, x) ≤ x (1 + ae−x) a2 Therefore, we could bound the first term as ∫ d 0 p(r)rd−1dr ∫∞ 0 p(r)rd−1dr = ∫ d 0 e−r τ rd−1dr ∫∞ 0 e−r rd−1dr (let s = r ) = 1 τ ∫ d 0 e−ss d τ−1ds 1 τ ∫∞ 0 e−ss d τ−1ds = γ ( d τ , d )/ Γ ( d τ ) ”