On the summation of ∑n=0∞fnnk and its associated integrals

✍ Scribed by E.I. Jury; M.A. Pai

• Book ID: 103084395
• Publisher: Elsevier Science
• Year: 1961
• Tongue: English
• Weight: 544 KB
• Volume: 271
• Category: Article
• ISSN: 0016-0032
• DOI: 10.1016/0016-0032(61)90221-6

✦ Synopsis

A geometrical interpretation of the convolution z transform is given and this is applied to develop z transforms of functions of the type f(t)/t ~, k > 0. After establishing the equivalence between certain forms of integrals, the authors have used the integrals to sum certain forms of infinite series. Possible extensions of this technique to other forms of series and to sum finite series are also indicated.