Results 1 to 10 of about 50 (49)
Explicit Formulas for Meixner Polynomials [PDF]
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
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Kirszbraun’s Theorem via an Explicit Formula [PDF]
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
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Explicit Gross–Zagier and Waldspurger formulae [PDF]
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
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An Explicit Formula for a Strong Connection [PDF]
LATeX, 8 ...
Edwin Beggs, Tomasz Brzezinski
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Explicit spectral formulas for scaling quantum graphs [PDF]
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.
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An explicit formula for period determinant [PDF]
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
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Murmurations and explicit formulas
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.
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Explicit description of the Zassenhaus formula [PDF]
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.
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AN EXPLICIT FORMULA FOR PBW QUANTIZATION [PDF]
7 pages, AmsTex; more typos corrected, an ambiguous definition made ...
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Explicit formulas for the multivariate resultant
30 pages ...
D'Andrea, Carlos, Dickenstein, Alicia
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