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 (
K. S. Kölbig
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A Note on the Summation of the Incomplete Gamma Function [PDF]
Symmetry, 2021 We examine the improved infinite sum of the incomplete gamma function for large values of the parameters involved. We also evaluate the infinite sum and equivalent Hurwitz-Lerch zeta function at special values and produce a table of results for easy reading. Almost all Hurwitz-Lerch zeta functions have an asymmetrical zero distribution.
Robert Reynolds 0003, Allan Stauffer
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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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Derangements and the 𝑝-adic incomplete gamma function [PDF]
Transactions of the American Mathematical Society, 2022 We introduce a p p -adic analogue of the incomplete gamma function. We also introduce quantities (
O'Desky, Andrew, Richman, David Harry
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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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Uniform asymptotic expansions of the incomplete gamma functions and the incomplete beta function [PDF]
Mathematics of Computation, 1975 New asymptotic expansions are derived for the incomplete gamma functions and the incomplete beta function. In each case the expansion contains the complementary error function and an asymptotic series. The expansions are uniformly valid with respect to certain domains of the parameters.
N. M. Temme, Temme, N.M. (Nico)
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Infinite Sum of the Incomplete Gamma Function Expressed in Terms of the Hurwitz Zeta Function
Mathematics, 2021 We apply our simultaneous contour integral method to an infinite sum in Prudnikov et al. and use it to derive the infinite sum of the Incomplete gamma function in terms of the Hurwitz zeta function.
Robert Reynolds, Allan Stauffer
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Generalized Hölder’s and Minkowski’s Inequalities for Jackson’s q-Integral and Some Applications to the Incomplete q-Gamma Function [PDF]
Abstract and Applied Analysis, 2017 We establish some generalized Hölder’s and Minkowski’s inequalities for Jackson’s q-integral. As applications, we derive some inequalities involving the incomplete q-Gamma function.
Kwara Nantomah
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The Incomplete Gamma Function Expressed as a Sum of Macdonald Functions
Results in Mathematics, 2001 The author uses the expansion of the incomplete gamma function defined by \[ \gamma(\nu,z)=\sqrt{{2\over\pi}}\int_0^z s^{\nu-1/2} K_{1/2}(s) ds,\quad \Re \nu>0, \] in terms of the modified Bessel functions of the second kind \(K_{n+1/2}(z)\). This expansion allows to evaluate different types of integrals of interest in atomic physics.
Straton, Jack C.
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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
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