论文标题

离散索引惠特克变换

Discrete index Whittaker transforms

论文作者

Yakubovich, Semyon

论文摘要

引入和研究了指数Whittaker变换的离散类似物。它涉及串联和积分相对于Whittaker函数的第二个参数$ w_ {μ,{i n}}(x),\ x> 0,\μ\ in \ mathbb {r},\ n \ in \ mathbb {n},\ i $是想象中的单位。建立了适用于这些系列和积分的合适函数和序列的相应反转公式。

Discrete analogs of the index Whittaker transform are introduced and investigated. It involves series and integrals with respect to a second parameter of the Whittaker function $W_{μ, {i n} }(x), \ x >0, \ μ\in \mathbb{R}, \ n \in \mathbb{N}, \ i $ is the imaginary unit. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established.

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