On fractional calculus of A2n+1(x) function

Alireza Ansari and Hassan Askari

Applied Mathematics and Computation, 2014, vol. 232, issue C, 487-497

Abstract: In this article, we consider the A2n+1(x) function (the generalized Airy function)A2n+1(x)=∫0∞coszx+(-1)n+1z2n+12n+1dzand find some properties of this function and its derivatives. These properties are included in integral representations for product of A2n+1(x) function, A2n+1(x) wavelets and integral and series identities. Moreover, the A2n+1(x) polynomials are derived and bi-orthogonality properties with their associated functions are obtained.

Keywords: A2n+1 function; Airy function; Mellin transform; Bi-orthogonal function (search for similar items in EconPapers)
Date: 2014
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (2)

Downloads: (external link)
http://www.sciencedirect.com/science/article/pii/S0096300314000952
Full text for ScienceDirect subscribers only

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:232:y:2014:i:c:p:487-497

DOI: 10.1016/j.amc.2014.01.058

Access Statistics for this article

Applied Mathematics and Computation is currently edited by Theodore Simos

More articles in Applied Mathematics and Computation from Elsevier
Bibliographic data for series maintained by Catherine Liu ().