On properties of integrals of the Legendre polynomial
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Publication:460749
DOI10.3103/S1063454114010051zbMath1302.33010MaRDI QIDQ460749
J. Herrera, D. Rodríguez-Gómez
Publication date: 14 October 2014
Published in: Vestnik St. Petersburg University. Mathematics (Search for Journal in Brave)
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Inequalities involving derivatives and differential and integral operators (26D10)
Related Items (10)
On the exactness of estimates for irregularly structured bodies of the general term of Laplace series ⋮ On the gravitational potential of a spherical segment ⋮ Asymptotics behavior of integrals of the Legendre polynomials and their sums ⋮ Estimates of sums of integrals of the Legendre polynomial ⋮ Approximate method for solving the problem of conformal mapping of an arbitrary polygon to a unit circle ⋮ Orthogonality relations for the primitives of Legendre polynomials and their applications to some spectral problems for differential operators ⋮ On the representation of the gravitational potential of several model bodies ⋮ On sharp estimates of even-order derivatives in Sobolev spaces ⋮ An explicit form for extremal functions in the embedding constant problem for Sobolev spaces ⋮ Existence of a class of irregular bodies with a higher convergence rate of Laplace series for the gravitational potential
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