An Operational Calculus of μth Order Mehler-Fock Transform

被引：0

作者：

Prasad, Akhilesh ^{[1
]}

Ranjan, Sudhanshu ^{[1
]}

机构：

[1] Indian Inst Technol, Indian Sch Mines, Dept Math & Comp, Dhanbad 826004, India

来源：

COMPLEX ANALYSIS AND OPERATOR THEORY | 2025年 / 19卷 / 02期

关键词：

Mehler-Fock transform; Associated Legendre function; Function spaces; KONTOROVICH-LEBEDEV; CONVOLUTION THEOREM;

D O I：

10.1007/s11785-025-01666-x

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper we introduce some differential and integral operators and study the continuity mapping on test function spaces H mu(I) and S mu(I). Further, the operational calculus of differential, integral operators as well as the mu th order Mehler-Fock transform have also been discussed. The translation and convolution operators are introduced and obtain some their estimates. Finally, this transform is used in the solution of some partial differential equations of Kepinski type.

引用

页数：33

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