On fractional calculus of A2n+1(x) function
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摘要
In this article, we consider the A2n+1(x) function (the generalized Airy function)A2n+1(x)=∫0∞coszx+(-1)n+1z2n+12n+1dzand find some properties of this function and its derivatives. These properties are included in integral representations for product of A2n+1(x) function, A2n+1(x) wavelets and integral and series identities. Moreover, the A2n+1(x) polynomials are derived and bi-orthogonality properties with their associated functions are obtained.
论文关键词：A2n+1 function,Airy function,Mellin transform,Bi-orthogonal function
论文评审过程：Available online 13 February 2014.
论文官网地址：https://doi.org/10.1016/j.amc.2014.01.058
