Wiman-Valiron Theory in Two Variables

DOI10.2307/2155043zbMath0849.32002OpenAlexW4250812331MaRDI QIDQ4875830

Peter C. Fenton

Publication date: 24 April 1996

Full work available at URL: https://doi.org/10.2307/2155043

zbMATH Keywords

estimatesentire functionTaylor seriesmaximumWiman-Valiron theory

Mathematics Subject Classification ID

Entire functions of several complex variables (32A15) Nevanlinna theory; growth estimates; other inequalities of several complex variables (32A22) Other generalizations of function theory of one complex variable (32A30) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (7)

Wiman's inequality for analytic functions in $\mathbb{D}\times\mathbb{C}$ with rapidly oscillating coefficients ⋮ Wiman's type inequality for multiple power series in the unbounded cylinder domain ⋮ Lévy's phenomenon for analytic functions on a polydisc ⋮ Bitlyan-Gol'dberg type inequality for entire functions and diagonal maximal term ⋮ A linear homogeneous partial differential equation with entire solutions represented by Bessel polynomials ⋮ A non-power series approach to Wiman-Valiron type theorems ⋮ Wiman-type inequality in multiple-circular domains: Lévy's phenomenon and exceptional sets

Cites Work

• Unnamed Item
• On theorems of G. Pólya and P. Turán
• On the Borel exceptional values of lacunary integral functions
• Some results of Wiman-Valiron type for integral functions of finite lower order
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• A probabilistic approach to the wiman—valiron theory for functions of several complex entire
• A note on the Wiman–Valiron method

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