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Abstract In this work, we study some special hypergeometric functions in positive characteristic, introduced by D. S. Thakur. We shall establish functional relationships among them, and deduce, with the help… Click to show full abstract
Abstract In this work, we study some special hypergeometric functions in positive characteristic, introduced by D. S. Thakur. We shall establish functional relationships among them, and deduce, with the help of the function field version of the Schneider–Lang theorem obtained by J. Yu, that at least one of their values at nonzero algebraic arguments is transcendental.
Keywords:
hypergeometric functions;
functions positive;
characteristic transcendence;
positive characteristic
Journal Title: Comptes Rendus Mathematique
Year Published: 2019
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Journal Title: Comptes Rendus Mathematique
Year Published: 2019
Link to full text (if available)
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recommendations!