Results 31 to 40 of about 2,821,192 (174)
Geometric Flow Equations for the Number of Space‐Time Dimensions
Fortschritte der Physik, Volume 70, Issue 1, January 2022., 2022 Abstract In this paper we consider new geometric flow equations, called D‐flow, which describe the variation of space‐time geometries under the change of the number of dimensions. The D‐flow is originating from the non‐trivial dependence of the volume of space‐time manifolds on the number of space‐time dimensions and it is driven by certain curvature ...
Davide De Biasio +2 more
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Series associated with Polygamma functions [PDF]
, 2009 We use integral identities to establish a relationship with sums that include polygamma functions, moreover we obtain some closed forms of binomial sums.
Sofo, Anthony
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A functional inequality for the polygamma functions [PDF]
Bulletin of the Australian Mathematical Society, 2005 Let where ψ denotes the logarithmic derivative of Euler's gamma function. We prove that the functional inequalityholds if and only if 0 < r ≤ 1. And, we show that the converse is valid if and only if r < 0 or r ≥ n + 1.
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Monotonicity results for the polygamma functions [PDF]
Mathematical Inequalities & Applications, 2008 The psi(or digamma) function is defined for all positive real numbers \(x\) as the logarithmic derivative of the gamma function \(\psi(x)=\frac{\Gamma'(x)}{\Gamma(x)}.\) Its derivatives \(\psi^{(n)}(x)\) are called polygamma functions. In the paper under review, the authors investigate monotonicity of the functions \[ x^c| \psi^{(n)}(x+\beta)| , \qquad
Li, Ai-Jun, Yuan, Jun, Chen, Chao-Ping
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Revstat Statistical Journal, 2021 Three conjectures on the standard deviation, skewness and kurtosis of the shifted Gompertz distribution, as the shape parameter increases to +∞, are proved. In this regard, the exponential integral function and polygamma functions are used in the proofs.
Fernando Jiménez Torres
doaj +1 more source
A procedure for generating infinite series identities
International Journal of Mathematics and Mathematical Sciences, 2004 A procedure for generating infinite series identities makes use of the generalized method of exhaustion by analytically evaluating the inner series of the resulting double summation.
Anthony A. Ruffa
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One-loop gluon amplitudes in AdS
Journal of High Energy Physics, 2022 We initiate the study of one-loop gluon amplitudes in AdS space. These amplitudes were recently computed at tree level for a variety of backgrounds of the form AdS d+1 × S 3.
Luis F. Alday, Agnese Bissi, Xinan Zhou
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On a Conjecture of Alzer, Berg, and Koumandos
Mathematics, 2020 In this paper, we find a solution of an open problem posed by Alzer, Berg, and Koumandos: determine ( α , m ) ∈ R + × N such that the function x α | ψ ( m ) ( x ) | is completely monotonic on ( 0 , ∞ ) , where ψ (
Ladislav Matejíčka
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A SOLUTION TO QI’S EIGHTH OPEN PROBLEM ON COMPLETE MONOTONICITY
Проблемы анализа, 2021 n this paper, the complete monotonicity of 1/( arctan 𝑥) is proved. This problem was posted by F. Qi and R. P. Agarwal as the eighth open problem of collection of eight open problems.
A. Venkata Lakshmi
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Mathematics, 2022 When modeling real phenomena, special cases of the generalized gamma distribution and the generalized beta distribution of the second kind play an important role.
Alexey Kudryavtsev, Oleg Shestakov
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