Integrals involving complete elliptic integrals

✍ Scribed by Djurdje Cvijovic; Jacek Klinowski

• Publisher: Elsevier Science
• Year: 1999
• Tongue: English
• Weight: 79 KB
• Volume: 106
• Category: Article
• ISSN: 0377-0427
• DOI: 10.1016/s0377-0427(99)00066-7

✦ Synopsis

We give a closed-form evaluation of a number of Erdà elyi-Kober fractional integrals involving elliptic integrals of the ÿrst and second kind, in terms of the 3F2 generalized hypergeometric function. Reduction formulae for 3F2 enable us to simplify the solutions for a number of particular cases.