On the incomplete gamma function and the neutrix convolution [PDF]
Mathematica Bohemica, 2003 Summary: The incomplete Gamma function \(\gamma (ab, x)\) and its associated functions \(\gamma (ab, x_+)\) and \(\gamma (ab, x_-)\) are defined as locally summable functions on the real line and some convolutions and neutrix convolutions of these functions and the functions \(x^r\) and \(x_-^r\) are then found.
Fisher, Brian +2 more
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Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function [PDF]
Mathematics of Computation, 1970 Complex zeros of an incomplete Riemann zeta function and of the incomplete gamma function are calculated as functions of the upper limit λ
K. S. Kölbig, Kölbig, Kurt Siegfried
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A Complete Monotonicity of the Gamma Function [PDF]
, 2004 The function 1/x ln Γ(x+1)−ln x+1 is strictly completely monotonic on (0,∞)
Qi, Feng, Chen, Chao-Ping
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Inequalities for Beta and Gamma Functions Via Some Classical and New Integral Inequalities [PDF]
, 1999 In this survey paper we present the natural application of certain integral inequalities such as, Chebychev's inequality for synchronous and asynchronous mappings, Holder's inequality and Gruss' and Ostrowski's inequalities for the celebrated Euler's ...
Agarwal, R. P +2 more
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Partial FAK suppression promotes tumor growth, an effect reversed by macrophage p110δ PI3K inactivation. [PDF]
Mol OncolPartial inhibition of focal adhesion kinase (FAK) can paradoxically promote tumor growth, rather than simply producing a weaker antitumor effect than that observed with strong FAK suppression. In breast cancer and melanoma models, targeting p110δ PI3K, particularly in macrophages, counteracted these tumor‐promoting effects, highlighting the importance ...
Xenou L +4 more
europepmc +2 more sources
A Class of Logarithmically Completely Monotonic Functions and the Best Bounds in the First Kershaw's Double Inequality [PDF]
, 2006 In the article, the logarithmically complete monotonicity of a class of functions involving the Euler’s gamma function are proved, a class of the first Kershaw type double inequalities are established, and the first Kershaw’s double inequality and ...
Qi, Feng
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On the zeros of the incomplete gamma function [PDF]
Mathematics of Computation, 1972 Some asymptotic formulae given elsewhere for the zeros of the incomplete gamma function γ (
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Efficient approximation of the incomplete gamma function for use in cloud model applications [PDF]
Geoscientific Model Development, 2010 This paper describes an approximation to the lower incomplete gamma function γ<i><sub>l</sub>(a,x)</i> which has been obtained by nonlinear curve fitting. It comprises a fixed number of terms and yields moderate accuracy
U. Blahak
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A Series Representation for the Hurwitz–Lerch Zeta Function
Axioms, 2021 We derive a new formula for the Hurwitz–Lerch zeta function in terms of the infinite sum of the incomplete gamma function. Special cases are derived in terms of fundamental constants.
Robert Reynolds, Allan Stauffer
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Actuarial values calculated using the incomplete Gamma function
Statistica, 2013 The complete expectation-of-life for a person and the actuarial present value of continuous life annuities are defined by integrals. In all of them at least one of the factors is a survival function value ratio. If de Moivre’s law of mortality is chosen,
Giovanni Mingari Scarpello +2 more
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