Fourier, Legendre and Jacobi
نویسندگان
چکیده
منابع مشابه
Some Sums of Legendre and Jacobi Polynomials
We prove identities involving sums of Legendre and Jacobi polynomials. The identities are related to Green’s functions for powers of the invariant Laplacian and to the Minakshisundaram-Pleijel zeta function.
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Two families of binary sequences are constructed from dth order cyclotomic generator and from dth order generalized cyclotomic generator with respect to two distinct primes respectively. By using estimates of certain exponential sums over rings or fields, the upper bounds of both the well-distribution measure and the order k (at least for small k) correlation measure of the resulting binary seq...
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In this article we prove that if the coefficients of a Fourier–Legendre expansion satisfy a suitable Hausdorff–type condition, then the series converges to a function which admits a holomorphic extension to a cut–plane. Furthermore, we prove that a Laplace–type (Laplace composed with Radon) transform of the function describing the jump across the cut is the unique Carlsonian interpolation of th...
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We give explicit formulas for the number of distinct elliptic curves over a finite field, up to isomorphism, in the families of Legendre, Jacobi, Hessian and generalized Hessian curves.
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We study the “Fourier-Jacobi” functor on smooth representations of split, simple, simply-laced p-adic groups. This functor has been extensively studied on the symplectic group, where it provides the representation-theoretic analogue of the FourierJacobi expansion of Siegel modular forms. Our applications are different from those studied classically with the symplectic group. In particular, we a...
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ژورنال
عنوان ژورنال: Journal of the Egyptian Mathematical Society
سال: 2011
ISSN: 1110-256X
DOI: 10.1016/j.joems.2011.08.001