Name
Abstract | ||
|---|---|---|
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: f(k+1)(a)+bkf(k)(a)=ck(k∈N0≔N∪{0};N≔{1,2,3,⋯}) for various kinds of real sequences {bk} and {ck}, 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. |
Year | DOI | Venue |
|---|---|---|
2010 | 10.1016/j.aml.2009.11.010 | Applied Mathematics Letters |
Keywords | Field | DocType |
Sequences of basis functions,Integral expansions,Taylor–Maclaurin expansion,Functional equations,Integral kernels,Exact solutions of functional equations | Exact solutions in general relativity,Mathematical analysis,Analytic function,Series expansion,Remainder,Functional equation,Mathematics,Taylor series | Journal |
Volume | Issue | ISSN |
23 | 4 | 0893-9659 |
Citations | PageRank | References |
0 | 0.34 | 2 |
Authors | ||
2 | ||
Name | Order | Citations | PageRank |
|---|---|---|---|
| Mohammad Masjed-Jamei | 1 | 15 | 8.03 |
| H.M. Srivastava | 2 | 308 | 76.66 |