2016
DOI: 10.2206/kyushujm.70.375
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ON A FUNDAMENTAL SET OF SOLUTIONS TO THE GENERALIZED HYPERGEOMETRIC EQUATION <b><i><sub>n</sub></i></b><b><sub>+</sub></b><sub>1</sub><b><i>E</i></b><b><i><sub>n </sub></i></b>PRESENTED BY INTEGRALS OF EULER TYPE

Abstract: Abstract. We give a fundamental set of solutions to the generalized hypergeometric equation n+1 E n in terms of integrals of Euler type and explicitly determine the matrix elements of the circuit matrices with respect to this set of solutions. IntroductionThe generalized hypergeometric series n+1 F n is defined to be. It satisfies the generalized hypergeometric differential equation n+1 E n , which has regular singular points z = 0, 1, ∞ and whose rank is n + 1:where θ z = zd/dz and β n+1 = 1. The purpose of t… Show more

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