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Discrete Lebedev–Skalskaya transforms
Integral Transforms and Special Functions ( IF 1 ) Pub Date : 2021-01-06 S. Yakubovich
中文翻译:
离散列别捷夫–斯卡尔斯基变换
更新日期:2021-01-06
Integral Transforms and Special Functions ( IF 1 ) Pub Date : 2021-01-06 S. Yakubovich
Discrete analogs of the Lebedev–Skalskaya transforms are introduced and investigated. It involves series and integrals with respect to the kernels is the imaginary unit and is the modified Bessel function. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established when . The case reduces to the Kontorovich–Lebedev transform.
中文翻译:
离散列别捷夫–斯卡尔斯基变换
引入和研究了列别捷夫-斯卡尔斯基变换的离散类似物。它涉及内核的级数和整数 是假想单位, 是修改后的贝塞尔函数。在以下情况下,针对适当的函数和序列,根据这些级数和积分建立了相应的求逆公式。案子 简化为Kontorovich-Lebedev变换。