Application of a new integral expansion for solving a class of functional equations
type: Item
instance of: scholarly article
title: Application of a new integral expansion for solving a class of functional equations
zbMATH Open document ID: 1202.41030
author: Mohammad Masjed-Jamei
author: H. M. Srivastava
published in: Applied Mathematics Letters
publication date: 2010-04-14T00:00:00Z
review text: The authors use a certain type of integral expansion formula for analytic functions to solve explicitly several particular cases of the system of equations \( f^{(k+1)}(a)+b_k f^{(k)}(a)=c_k \), \( k=0,1,2, \dots \), where \(a\) is given point on the real line, and \( (b_k), (c_k) \) are given sequences of real numbers.
reviewed by: Vincent Thilliez
Mathematics Subject Classification ID: 41A58
Mathematics Subject Classification ID: 39B72
zbMATH DE Number: 5692726
zbMATH Keywords: integral expansions
zbMATH Keywords: Taylor-Maclaurin expansion
zbMATH Keywords: functional equations
zbMATH Keywords: integral kernels
zbMATH Keywords: exact solutions of functional equations
MaRDI profile type: Publication
full work available at URL: j.aml.2009.11.010
OpenAlex ID: W2049534077
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DOI: 10.1016/J.AML.2009.11.010
description: scientific article; zbMATH DE number 5692726