On the algebraic structure of functional matrices of special form. (English. Russian original) Zbl 0901.41012

Math. Notes 60, No. 6, 642-648 (1996); translation from Mat. Zametki 60, No. 6, 851-860 (1996).
The graded Padé approximants introduced by G. V. Chudnovsky in 1984 to study the transcendence of numbers was completed by some initially missing algebraic proofs by the author of the present paper. Here, the author follows the investigation of arising matrices in the construction of the above approximants and shows some interesting combinatorial laws related to these approximants.


41A21 Padé approximation
11J99 Diophantine approximation, transcendental number theory
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