Inequalities for the Incomplete Gamma and Related Functions
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Publication:4238850
DOI10.7153/mia-02-05zbMath0916.33001OpenAlexW2170332949MaRDI QIDQ4238850
Publication date: 26 May 1999
Published in: Mathematical Inequalities & Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.7153/mia-02-05
Inequalities for sums, series and integrals (26D15) Incomplete beta and gamma functions (error functions, probability integral, Fresnel integrals) (33B20) Inequalities involving other types of functions (26D07)
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MacLaurin’s series expansions for positive integer powers of inverse (hyperbolic) sine and tangent functions, closed-form formula of specific partial Bell polynomials, and series representation of generalized logsine function ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ Monotonicity of the incomplete gamma function with applications ⋮ On approximating the error function ⋮ New sharp approximations involving incomplete gamma functions ⋮ Unnamed Item ⋮ Monotonicity and inequalities involving the incomplete gamma function ⋮ A class of logarithmically completely monotonic functions associated with a gamma function ⋮ Logarithmically complete monotonicity properties relating to the gamma function ⋮ Exact lower and upper bounds on the incomplete gamma function ⋮ Weighted integral and integro-differential inequalities ⋮ On Mathieu-type series whose terms contain a generalized hypergeometric function \(_pF_q\) and Meijer's \(G\)-function ⋮ Supplements to known monotonicity results and inequalities for the gamma and incomplete gamma functions ⋮ Some inequalities of the incomplete gamma and related functions ⋮ New bounds for the function involving incomplete gamma function ⋮ Certain inequalities for the modified Bessel-type function
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