Generating Kummer Type Formulas for Hypergeometric Functions

Abstract. Kummer type formulas are identities of hypergeometric series. A symmetry by the permutations of n-letters yields these formulas. We will present an algorithmic method to derive known and new Kummer type formulas. The algorithm utilizes several algorithms in algebra and geometry for generating Kummer type formulas.

• Type: Conference
• Year: 2003
• Where: DAGSTUHL
• Authors: Nobuki Takayama
• Keywords: DAGSTUHL 2003, DAGSTUHL 2007, Hypergeometric Series, Kummer Type Formulas, N-letters Yields