Smooth Wavelet Approximations of Truncated Legendre Polynomials via the Jacobi Theta Function

David W. Pravica, Njinasoa Randriampiry and Michael J. Spurr

Abstract and Applied Analysis, 2014, vol. 2014, issue 1

Abstract: The family of nth order q‐Legendre polynomials are introduced. They are shown to be obtainable from the Jacobi theta function and to satisfy recursion relations and multiplicatively advanced differential equations (MADEs) that are analogues of the recursion relations and ODEs satisfied by the nth degree Legendre polynomials. The nth order q‐Legendre polynomials are shown to have vanishing kth moments for 0 ≤ k

Date: 2014
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https://doi.org/10.1155/2014/890456

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Persistent link: https://EconPapers.repec.org/RePEc:wly:jnlaaa:v:2014:y:2014:i:1:n:890456

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