Results 1 to 10 of about 2,005,506 (332)
Some Generating Functions for <i>q</i>-Polynomials. [PDF]
Symmetry (Basel), 2018 We obtain q-analogues of the Sylvester, Ces\`aro, Pasternack, and Bateman polynomials.
Cohl HS, Costas-Santos RS, Wakhare TV.
europepmc +2 more sources
Internal clocks induced by generating functions [PDF]
Heliyon, 2018 We introduce a nonlinear model that defines a complex system possessing diverse mediums shaped by generating functions. Our model is implemented on systems with internal clocks.
Yehuda Roth
doaj +2 more sources
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
doaj +3 more sources
Optimal Strategies for Computation of Degree ℓn Isogenies for SIDH [PDF]
International Journal of Electronics and Telecommunications, 2020 This article presents methods and algorithms for the computation of isogenies of degree ℓn. Some of these methods are obtained using recurrence equations and generating functions.
Michał Wroński, Andrzej Chojnacki
doaj +1 more source
On Andrews’ Partitions with Parts Separated by Parity
Mathematics, 2021 In this paper, we present a generalization of one of the theorems in Partitions with parts separated by parity introduced by George E. Andrews, and give its bijective proof.
Abdulaziz M. Alanazi, Darlison Nyirenda
doaj +1 more source
A Spanning Union of Cycles in Thin Cylinder, Torus and Klein Bottle Grid Graphs
Mathematics, 2023 In this paper, we propose an algorithm for obtaining the common transfer digraph Dm* for enumeration of 2-factors in graphs from the title, all of which have m·n vertices (m,n∈N,m≥2).
Jelena Đokić +2 more
doaj +1 more source
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
doaj +1 more source
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
doaj +3 more sources
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
doaj +1 more source
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
doaj +1 more source