Algebraic Transformations of 3F2

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概要

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• Let E(x) be the third order differential equation 3F2 satisfied by a generalized hypergeometric function 3F2 (a0, a1, a2; b1, b2; x). Under some assumptions which guarantee that E(x) is irreducible and has no logarithmic solutions, we determine all the algebraic transformations E(x) = θ(x)E′(φ(x)), where E′(z) is a Fuchsian differential equation on P1, φ(x) a rational function, and θ(x) a finite product of complex powers of rational functions. We find E′(z) also turns out to be a 3E2.

• 日本数学会函数方程式論分科会の論文

著者

• Kato Mitsuo

  University of the Ryukyus

関連論文

• Algebraic Transformations of 3F2

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