当前位置: X-MOL 学术Integral Transform. Spec. Funct. › 论文详情
Our official English website, www.x-mol.net, welcomes your feedback! (Note: you will need to create a separate account there.)
Discrete Lebedev–Skalskaya transforms
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 R e   K α + i n ( x ) , I m   K α + i n ( x ) , x > 0 , n N , | α | < 1 ,   i is the imaginary unit and K ν ( z ) is the modified Bessel function. The corresponding inversion formulas for suitable functions and sequences in terms of these series and integrals are established when α = ± 1 / 2 . The case α = 0 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 [R Ë   ķ α + 一世 ñ X 一世   ķ α + 一世 ñ X X > 0 ñ ñ | α | < 1个   一世 是假想单位, ķ ν ž 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 α = ± 1个 / 2 。案子 α = 0 简化为Kontorovich-Lebedev变换。

更新日期:2021-01-06
down
wechat
bug