On a Two‐Variable p‐Adic lq‐Function

Min-Soo Kim, Taekyun Kim, D. K. Park and Jin-Woo Son

Abstract and Applied Analysis, 2008, vol. 2008, issue 1

Abstract: We prove that a two‐variable p‐adic lq‐function has the series expansion lp,q(s,t,χ)=([2] q/[2] F)∑a=11,(p,a)=F(−1) a(χ(a)qa/〈a+pt〉 s)∑m=0∞(−sm)(F/〈a+pt〉) mEm,qF* which interpolates the values lp,q(−n,t,χ)=En,χn,q∗(pt)−pnχn(p)([2] q/[2] qp)En,χn,qp∗(t), whenever n is a nonpositive integer. The proof of this original construction is due to Kubota and Leopoldt in 1964, although the method given in this note is due to Washington.

Date: 2008
References: Add references at CitEc
Citations:

Downloads: (external link)
https://doi.org/10.1155/2008/360517

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:wly:jnlaaa:v:2008:y:2008:i:1:n:360517

Access Statistics for this article

More articles in Abstract and Applied Analysis from John Wiley & Sons
Bibliographic data for series maintained by Wiley Content Delivery ().