Abstract
In [2] Yuan Xu and the senior author studied, what they called, l - 1 summability of the inverse Fourier integral on ℝd. In the investigation a pair of Fourier kernels {hd, md} on ℝ+ was introduced as the core of the summability scheme. Here, these kernels will be investigated again just from the point of view of special functions. We will reprove its basic properties; in particular, we will derive a power series expansion verifying Ramanujan’s Master Theorem for these kernels.
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