Results 11 to 20 of about 12,298,354 (363)
On Gamma Function Inequalities [PDF]
Mathematics of Computation, 1986 We show that certain functions involving quotients of gamma functions are completely monotonic. This leads to inequalities involving gamma functions. We also establish the infinite divisibility of several probability distributions whose Laplace transforms involve quotients of gamma functions.
Joaquin Bustoz, E H Ismail
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On a (p,k)-analogue of the Gamma function and some associated Inequalities
Moroccan Journal of Pure and Applied Analysis, 2016 In this paper, we introduce a new two-parameter deformation of the classical Gamma function, which we call a (p,k)-analogue of the Gamma function. We also provide some identities generalizing those satisfied by the classical Gamma function.
Nantomah K., Prempeh E., Twum S. B.
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CERTAIN INEQUALITIES INVOLVING THE Q-DEFORMED GAMMA FUNCTION
Проблемы анализа, 2014 This paper in inspired by the work of J.Sándor in 2006. In paper, the authors establish some double inequalities involving the ratio (Γq(x+1))/(Γq(x+1/2)), where Γq(x) is the q-deformation of the classical Gamma function denoted by Γ(x).
K. Nantomah, E. Prempeh
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Exact lower and upper bounds on the incomplete gamma function [PDF]
Mathematical Inequalities & Applications, 2020 Lower and upper bounds $B_a(x)$ on the incomplete gamma function $\Gamma(a,x)$ are given for all real $a$ and all real $x>0$. These bounds $B_a(x)$ are exact in the sense that $B_a(x)\underset{x\downarrow0}\sim\Gamma(a,x)$ and $B_a(x)\underset{x\to\infty}
I. Pinelis
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On algebraic differential equations concerning the Riemann-zeta function and the Euler-gamma function [PDF]
Complex Variables and Elliptic Equations, 2020 In this paper, we prove that ζ is not a solution of any non-trivial algebraic differential equation whose coefficients are polynomials in over the ring of polynomials in , are nonnegative integers.
Qiongyan Wang, Z. Li, Man-Li Liu, Nan Li
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Gamma-Bazilevič Functions [PDF]
Mathematics, 2020 For γ ≥ 0 and α ≥ 0 , we introduce the class B 1 γ ( α ) of Gamma–Bazilevič functions defined for z ∈ D by R e z f ′ ( z ) f ( z ) 1 − α z α + z f ″ ( z ) f ′ ( z ) + ( α − 1 ) z f ′ ( z ) f ( z ) − 1 γ z f ′ ( z ) f ( z ) 1 − α z α
Fitri, Sa’adatul, Thomas, Derek K.
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Gamma function method for the nonlinear cubic-quintic Duffing oscillators
Journal of Low Frequency Noise Vibration and Active Control, 2021 In this article, the gamma function method, for the first time ever, is used to solve the nonlinear cubic-quintic Duffing oscillators. The nonlinear cubic-quintic Duffing oscillators with and without the damped and quadratic terms are considered ...
Kangkang Wang, Guo‐Dong Wang
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Integral Representations of a Generalized Linear Hermite Functional
Mathematics, 2023 In this paper, we find new integral representations for the generalized Hermite linear functional in the real line and the complex plane. As an application, new integral representations for the Euler Gamma function are given.
Roberto S. Costas-Santos
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Asymptotic expansions for the incomplete gamma function in the transition regions [PDF]
Mathematics of Computation, 2018 We construct, for the first time, asymptotic expansions for the normalised incomplete gamma function $Q(a,z)=\Gamma(a,z)/\Gamma(a)$ that are valid in the transition regions, including the case $z\approx a$, and have simple polynomial coefficients.
G. Nemes, A. Daalhuis
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