We present a novel representation for generalized hypergeometric functions of type p+1 F p which is in fact defined by an infinite series in nonnegative integer powers of its argument. We first construct a first order vector differential equation such that the unknown vector's coefficient is the sum
✦ LIBER ✦
An Exponential Matrix Product Based Representation for Generalized Hypergeometric Functions of Type pFp
✍ Scribed by N. A. Baykara; İrem Yaman; Metin Demiralp
- Publisher
- John Wiley and Sons
- Year
- 2005
- Weight
- 167 KB
- Volume
- 2
- Category
- Article
- ISSN
- 1611-8170
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Recently we have presented a matrix algebraic factorization scheme for multiplicative representations of generalized hypergeometric functions of type p+1Fp . The Method uses exponential functions with matrix arguments. We have shown that factorization is possible around any kind of point, regular or