Results 11 to 20 of about 1,406,358 (336)
Multiple Gamma Functions and Multiple $q$-Gamma Functions
Publications of the Research Institute for Mathematical Sciences, 1997 We give an asymptotic expansion ( the higher Stirling formula ) and an infinite product representation ( the Weierstrass canonical product representation ) of the Vigneras multiple gamma functions by considering the classical limit of the multiple
Ueno, Kimio, Nishizawa, Michitomo
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Slightly \gamma-Continuous Functions
Boletim da Sociedade Paranaense de Matemática, 2009 The purpose of this paper is to give a new weak form of some typesof continuity generalizing strongly alpha-irresoluteness, alpha-irresoluteness, alpha-continuity, precontinuity, semi-continuity, gamma-continuity and slightly continuity. In this paper, slightly gama-continuity is introduced and studied.
EKİCİ, ERDAL, Caldas, M.
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On the Multivariate Gamma-Gamma ($\Gamma \Gamma$) Distribution with Arbitrary Correlation and Applications in Wireless Communications [PDF]
, 2015 The statistical properties of the multivariate Gamma-Gamma ($\Gamma \Gamma$) distribution with arbitrary correlation have remained unknown. In this paper, we provide analytical expressions for the joint probability density function (PDF), cumulative ...
Dai, Linglong +3 more
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Artin formalism for Selberg zeta functions of co-finite Kleinian groups [PDF]
, 2008 Let $\Gamma\backslash\mathbb H^3$ be a finite-volume quotient of the upper-half space, where $\Gamma\subset {\rm SL}(2,\mathbb C)$ is a discrete subgroup.
Brenner, Eliot, Spinu, Florin
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A Ces\`aro Average of Goldbach numbers [PDF]
, 2012 Let $\Lambda$ be the von Mangoldt function and $(r_G(n) = \sum_{m_1 + m_2 = n} \Lambda(m_1) \Lambda(m_2))$ be the counting function for the Goldbach numbers. Let $N \geq 2$ be an integer.
Languasco, Alessandro +1 more
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On Complex Gamma-Function Integrals [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 It was observed recently that relations between matrix elements of certain operators in the ${\rm SL}(2,\mathbb R)$ spin chain models take the form of multidimensional integrals derived by R.A. Gustafson. The spin magnets with ${\rm SL}(2,\mathbb C)$ symmetry group and ${\rm L}_2(\mathbb C)$ as a local Hilbert space give rise to a new type of ...
Derkachov, Sergey E. +1 more
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Recurrent identities for two special functions of hypergeometric type
Вестник Самарского университета: Естественнонаучная серия, 2023 The article presents conclusions and proofs of Gauss-type identities for two known hypergeometric type functions. For the derivation and justification of formulas, the representation of functions in the form of a series is used, as well as an integral ...
Svetlana V. Podkletnova
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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.
Bustoz, Joaquin, Ismail, Mourad E. H.
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Monotonicity and inequalities for the gamma function
Journal of Inequalities and Applications, 2017 In this paper, by using the monotonicity rule for the ratio of two Laplace transforms, we prove that the function x ↦ 1 24 x ( ln Γ ( x + 1 / 2 ) − x ln x + x − ln 2 π ) + 1 − 120 7 x 2 $$ x\mapsto \frac{1}{24x ( \ln \Gamma ( x+1/2 ) -x\ln x+x- \ln \sqrt{
Zhen-Hang Yang, Jing-Feng Tian
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A short note on a extended finite secant series
AIMS Mathematics, 2023 In this paper, a summation formula for a general family of a finite secant sum has been extended by making use of a particularly convenient integration contour method.
Robert Reynolds
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