Multiple Hypergeometric Functions and Applications |
Contents
Foreword | 10 |
Single Hypergeometric Functions | 19 |
Multiple Hypergeometric Transformations | 27 |
Copyright | |
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2m+n a,b₁ a,m+n a,m₁ a₁ analytical continuation Appell functions application b₁ b₁,m₁ b₂ Beta Distribution bk+1 c₁ c₁,m c₂,n+p Cartesian equation Chapter confluent hypergeometric function contour of integration deduced differential equations Dirichlet Distribution discussed double loop Erdélyi Euler integral Eulerian integrals example expansions expressed Exton F F(n F₁ Fériet function Gamma Distribution Gauss function given Horn functions Humbert functions hypergeometric series inner integral formulae integral representations integrand K₁ Kampé de Fériet Laplace type less than unity loop integrals m+n+p m₁ moduli multiple hypergeometric functions multiple series obtained P₁ parameters Pochhammer positive Re(a Re(b region of convergence right hand member Section series representation singular point solutions Srivastava summation term by term theorem transformations v₁ x₁ zero α α