Title of article
The double square root, Jacobi polynomials and Ramanujanʹs Master Theorem
Author/Authors
Boros، نويسنده , , George and Moll، نويسنده , , Victor H.، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2001
Pages
8
From page
337
To page
344
Abstract
LetN0,4(a;m)≔∫0∞dx(x4+2ax2+1)m+1, a>−1, m∈Nand definePm(a)≔1π2m+3/2(a+1)m+1/2N0,4(a;m).We prove that Pm(a) is a polynomial in a given byPm(a)=2−2m∑k=0m2k2m−2km−km+km(a+1)k.The proof is based on the Taylor expansion of the double square root and Ramanujanʹs Master Theorem.
Keywords
Integrals , Double square root , rational functions , Snake oil method
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2001
Journal title
Journal of Computational and Applied Mathematics
Record number
1551372
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