On Certain Generalizations of Hypergeometric Functions of Two Variables |
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2M variables a,b+b analogues denote due to Exton equivalent Erdélyi Euler's type Exton 11 f(i+j F(xu F₁ FA₁ a,b FA₂ Fb a,b;c FB₁ FB₂ FC₁ FD₁ FD₂ Fg a,b Function Exponents Kernel functions introduced functions of 2M g'+h G₂ GA₂ Gamma factors Gamma function Gauss's GD₁ GD₂ given Horn functions hypergeometric functions hypergeometric series I(b+b I+J I+J I=i J=j inequalities integral representations integrals of dimension Koschmieder 18 Laplace integrals Lemma m m m m m norm of x,y number of variables numerator parameter o-series particular Picard integral Pochhammer symbol Pochhammer symbol subscripts power functions prove quadratic transformation reduction formulae region of convergence relations between parameters subsection summation and integration x¹ y³ xi yj น น