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General Transformations of Bilateral Cognate Trigonometrical Series of Ordinary Hypergeometric Type
Whipple [6] was the first to consider transformations connecting well-poised hypergeometric series as particular cases of relations between cognate trigonometrical series. He used contour integrals of the Barnes type to deduce such transformations. Later Sears [3] gave a systematic theory of general and well-poised transformations of trigonometrical series of any …