The integro‐differential operators of infinite order on the half line related to the Legendre operator-Reference-Cited by-同舟云学术

The integro‐differential operators of infinite order on the half line related to the Legendre operator

Published:2023-01-04 Issue:8 Volume:46 Page:8816-8830
ISSN:0170-4214
Container-title:Mathematical Methods in the Applied Sciences
language:en
Short-container-title:Math Methods in App Sciences

Author:

Van Hoang Pham¹^ORCID

Affiliation:

1. VNU‐University of Education Vietnam National University, Hanoi 144 Xuan Thuy Cau Giay, Hanoi Vietnam

Abstract

In this paper, we introduce certain integro‐differential operators of Legendre type of infinite order. Some properties of these operators are obtained. Moreover, we establish the necessary and sufficient conditions for a class of integro‐differential operators of infinite order being unitary on . Some classes of related integro‐differential equations are also considered.

Publisher

Wiley

Subject

General Engineering,General Mathematics

Link

https://onlinelibrary.wiley.com/doi/pdf/10.1002/mma.9019

Reference25 articles.

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