﻿<?xml version="1.0" encoding="UTF-8"?>
<records>
  <record>
    <language>eng</language>
    <publisher>Science and Education Publishing</publisher>
    <journalTitle>American Journal of Mathematical Analysis</journalTitle>
    <publicationDate>2013-11-03</publicationDate>
    <volume>1</volume>
    <issue>1</issue>
    <startPage>42</startPage>
    <endPage>47</endPage>
    <doi>10.12691/ajma-1-3-4</doi>
    <publisherRecordId>AJMA2013134</publisherRecordId>
    <documentType>article</documentType>
    <title language="eng">Summability of a Jacobi Series by Lower Triangular Matrix Method</title>
    <authors>
      <author>
        <name>Binod Prasad Dhakal</name>
        <email>binod_dhakal2004@yahoo.com</email>
        <affiliationId>1</affiliationId>
      </author>
    </authors>
    <affiliationsList>
      <affiliationName affiliationId="1">Tribhuvan University, Nepal</affiliationName>
    </affiliationsList>
    <abstract language="eng">The Jacobi polynomial P<SUB>n</SUB><SUP>(</SUP>α<SUP>,</SUP>β<SUP>)</SUP>(x) which is obtained from Jacobi differential equation is an orthogonal polynomial over the interval [-1, 1] with respect to weight function <SUB>(1-x)</SUB>α<SUB>(1+x)</SUB>β, α&gt;-1, β&gt;-1.  Here Jacobi series has been taken and established a theorem on lower triangular matrix summability of a Jacobi series.</abstract>
    <fullTextUrl format="pdf">http://pubs.sciepub.com/ajma/1/3/4/ajma-1-3-4.pdf</fullTextUrl>
    <keywords language="eng">
      <keyword>summability</keyword>
      <keyword>jacobi series</keyword>
      <keyword>triangular matrix</keyword>
    </keywords>
  </record>
</records>