Results 1 to 10 of about 50 (49)

Explicit Formulas for Meixner Polynomials [PDF]

open access: yesInternational Journal of Mathematics and Mathematical Sciences, 2015
Using notions of composita and composition of generating functions, we show an easy way to obtain explicit formulas for some current polynomials. Particularly, we consider the Meixner polynomials of the first and second kinds.
Dmitry V. Kruchinin, Yuriy V. Shablya
openaire   +2 more sources

Kirszbraun’s Theorem via an Explicit Formula [PDF]

open access: yesCanadian Mathematical Bulletin, 2020
AbstractLet $X,Y$ be two Hilbert spaces, let E be a subset of $X,$ and let $G\colon E \to Y$ be a Lipschitz mapping. A famous theorem of Kirszbraun’s states that there exists $\tilde {G} : X \to Y$ with $\tilde {G}=G$ on E and $ \operatorname {\mathrm {Lip}}(\tilde {G})= \operatorname {\mathrm {Lip}}(G).$ In this note we show that in fact the function $
Azagra, Daniel   +2 more
openaire   +3 more sources

Explicit Gross–Zagier and Waldspurger formulae [PDF]

open access: yesAlgebra & Number Theory, 2014
We give an explicit form of Gross-Zagier formula on Shimura Curves and an explicit form of Waldspurger formula.
Cai, Li, Shu, Jie, Tian, Ye
openaire   +3 more sources

An Explicit Formula for a Strong Connection [PDF]

open access: yesApplied Categorical Structures, 2007
LATeX, 8 ...
Edwin Beggs, Tomasz Brzezinski
openaire   +4 more sources

Explicit spectral formulas for scaling quantum graphs [PDF]

open access: yesPhysical Review E, 2004
We present an exact analytical solution of the spectral problem of quasi one-dimensional scaling quantum graphs. Strongly stochastic in the classical limit, these systems are frequently employed as models of quantum chaos. We show that despite their classical stochasticity all scaling quantum graphs are explicitly solvable in the form $E_n=f(n)$, where
Dabaghian, Yu., Blümel, R.
openaire   +5 more sources

An explicit formula for period determinant [PDF]

open access: yesAnnales de l'Institut Fourier, 2006
We consider a generic complex polynomial in two variables and a basis in the first homology group of a nonsingular level curve. We take an arbitrary tuple of homogeneous polynomial 1-forms of appropriate degrees so that their integrals over the basic cycles form a square matrix (of multivalued analytic functions of the level value). We give an explicit
openaire   +1 more source

Murmurations and explicit formulas

open access: yes, 2023
Unexpected oscillations in $a_p$ values in a family of elliptic curves were observed experimentally by He, Lee, Oliver, and Pozdnyakov. We propose a heuristic explanation for these oscillations based on the "explicit formula" from analytic number theory.
openaire   +2 more sources

Explicit description of the Zassenhaus formula [PDF]

open access: yesProgress of Theoretical and Experimental Physics, 2017
We explicitly describe an expansion of $e^{A+B}$ as an infinite sum of the products of $B$ multiplied by the exponential function of $A$. This is the explicit description of the Zassenhaus formula. We also express the Baker-Campbell-Hausdorff formula in a different manner.
openaire   +2 more sources

AN EXPLICIT FORMULA FOR PBW QUANTIZATION [PDF]

open access: yesCommunications in Algebra, 2002
7 pages, AmsTex; more typos corrected, an ambiguous definition made ...
openaire   +2 more sources

Explicit formulas for the multivariate resultant

open access: yesJournal of Pure and Applied Algebra, 2001
30 pages ...
D'Andrea, Carlos, Dickenstein, Alicia
openaire   +3 more sources

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