Results 11 to 20 of about 1,970,212 (332)
Cumulative information generating function and generalized Gini functions
Metrika, 2023 AbstractWe introduce and study the cumulative information generating function, which provides a unifying mathematical tool suitable to deal with classical and fractional entropies based on the cumulative distribution function and on the survival function.
Marco Capaldo +2 more
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Mixed Powers of Generating Functions [PDF]
Discrete Mathematics & Theoretical Computer Science, 2006 Given an integer $m \geq 1$, let $\| \cdot \|$ be a norm in $\mathbb{R}^{m+1}$ and let $\mathbb{S}_+^m$ denote the set of points $\mathbf{d}=(d_0,\ldots,d_m)$ in $\mathbb{R}^{m+1}$ with nonnegative coordinates and such that $\| \mathbf{d} \|=1$. Consider
Manuel Lladser
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On Generalized Stieltjes Functions [PDF]
Constructive Approximation, 2018 17 ...
Koumandos, Stamatis +3 more
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Generating functions and the satisfiability threshold [PDF]
Discrete Mathematics & Theoretical Computer Science, 2004 The 3-SAT problem consists in determining if a boolean formula with 3 literals per clause is satisfiable. When the ratio between the number of clauses and the number of variables increases, a threshold phenomenon is observed: the probability of ...
Vincent Puyhaubert
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Visual Functions Generating Conscious Seeing
Frontiers in Psychology, 2020 Visual functions are reviewed that coincide with conscious as opposed to unconscious vision. Four stages of vision are identified, going from the fully invisible, to subjectively invisible, unattended, and clearly visible.
Victor A. F. Lamme
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Mersenne-Horadam identities using generating functions
Karpatsʹkì Matematičnì Publìkacìï, 2020 The main object of the present paper is to reveal connections between Mersenne numbers $M_n=2^n-1$ and generalized Fibonacci (i.e., Horadam) numbers $w_n$ defined by a second order linear recurrence $w_n=pw_{n-1}+qw_{n-2}$, $n\geq 2$, with $w_0=a$ and ...
R. Frontczak, T.P. Goy
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A New Generating Function for a Generalized Function of Two Variables [PDF]
Proceedings of the American Mathematical Society, 1975 We discuss a new generating function for a generalized function of two variables and, in a particular case, obtain an interesting formula for a G G -function,
B. L. Sharma, R. F. A. Abiodun
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Analytical properties of the Hurwitz–Lerch zeta function
Advances in Difference Equations, 2020 In the present paper, we aim to extend the Hurwitz–Lerch zeta function Φ δ , ς ; γ ( ξ , s , υ ; p ) $\varPhi _{\delta ,\varsigma ;\gamma }(\xi ,s,\upsilon ;p)$ involving the extension of the beta function (Choi et al. in Honam Math. J.
Raghib Nadeem +3 more
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COMPLEXITY OF SHORT GENERATING FUNCTIONS
Forum of Mathematics, Sigma, 2018 We give complexity analysis for the class of short generating functions. Assuming #P $\not \subseteq$ FP/poly, we show that ...
DANNY NGUYEN, IGOR PAK
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ON STOCHASTIC GENERALIZED FUNCTIONS [PDF]
Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2011 In this work we introduce a new algebra of stochastic generalized functions. The regular Hida distributions in [Formula: see text] are embedded in this algebra via their chaos expansions. As an application, we prove the existence and uniqueness of the solution of a stochastic Cauchy problem involving singularities.
Christian Olivera, Pedro J. Catuogno
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