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Estimates of linear forms in values of generalized hypergeometric series with polyadic transcendental parameters

https://doi.org/10.22405/2226-8383-2025-26-4-419-431

Abstract

Theorems are proved concerning estimates of linear forms in values of generalized hypergeometric series of the form Σ︀∞ 𝑛=0 (𝛼1)𝑛 . . . (𝛼𝑚−1)𝑛 𝑧𝑛, among the parameters of which are transcendental 𝑝-adic Liouville numbers

About the Author

Ekaterina Yurjevna Yudenkova
Russian Presidential Academy of National Economy and Public Administration
Russian Federation


References

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For citations:


Yudenkova E.Yu. Estimates of linear forms in values of generalized hypergeometric series with polyadic transcendental parameters. Chebyshevskii Sbornik. 2025;26(4):419-431. (In Russ.) https://doi.org/10.22405/2226-8383-2025-26-4-419-431

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