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被引：0

作者：

S. M. Sitnik

O. V. Skoromnik

机构：

[1] Belgorod State National Research University,

[2] Euphrosyne Polotskaya State University of Polotsk,undefined

来源：

Lobachevskii Journal of Mathematics | 2023年 / 44卷 / 8期

关键词：

multi-dimensional integral transformations with special functions in kernels; multi-dimensional Mellin transform; Fox ; -function; Legendre function of the first kind; space of integrable functions; fractional integrals and derivatives;

D O I：

10.1134/S1995080223080528

中图分类号：

学科分类号：

摘要：

引用

页码：3563 / 3581

页数：18

共 18 条

[1]

Sitnik S. M.(2022)Multi-dimensional generalized integral transform in the weighted spaces of summable functions Lobachevskii J. Math. 43 1170-1178

[2]

Skoromnik O. V.(2009)Solution of a multi-dimensional integral equation of the first kind with the Legendre function in the kernel over a pyramidal domain Dokl. Math. 80 847-851

[3]

Shlapakov S. A.(2009)Integral transforms with the Legendre function of the first kind in the kernels on Integr. Transf. Spec. Funct. 20 653-672

[4]

Kilbas A. A.(1992)Factorization and estimates of the norms of Buschman–Erdelyi operators in weighted Lebesgue spaces Sov. Math. Dokl. 44 641-646

[5]

Skoromnik O. V.(2018)Applications of integral transforms composition method to wave-type singular differential equations and index shift transmutations Electron. J. Differ. Equat. 2018 1-27

[6]

Kilbas A. A.(2017)A short survey of recent results on Buschman–Erdelyi transmutations J. Inequal. Spec. Funct. 8 140-157

[7]

Skoromnik O. V.(2018)The transmutation method and boundary-value problems for singular elliptic equations Sovrem. Mat. Fundam. Napravl. 64 211-426

[8]

Sitnik S. M.(1989)“Calculation of integrals and Mellin transformation,” Itogi Nauki Tekh Mat. Ser. Anal. 27 3-146

[9]

Fitouhi A.(undefined)undefined undefined undefined undefined-undefined

[10]

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