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Application of a new integral expansion for solving a class of functional equations

✍ Scribed by Mohammad Masjed-Jamei; H.M. Srivastava

Publisher
Elsevier Science
Year
2010
Tongue
English
Weight
357 KB
Volume
23
Category
Article
ISSN
0893-9659

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✦ Synopsis

In a recent paper [M. Masjed-Jamei, H.M. Srivastava, An integral expansion for analytic functions based upon the remainder values of the Taylor series expansions, Appl. Math. Lett. 22 (2009) 406-411], a new type of integral expansions for analytic functions was introduced and investigated. In this sequel to our earlier paper, we make use of the aforementioned expansion in order to explicitly obtain the general solutions of the following functional equation:

for various kinds of real sequences {b k } and {c k }, where (as usual) f (k) (a) is the kth derivative of the unknown function f (x) at x = a. We also present some illustrative examples in this sense.

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