On the generalized order and generalized type of entire monogenic functions

DOI10.1515/DEMA-2013-0484zbMath1290.30062OpenAlexW758832749MaRDI QIDQ5403802

Susheel Kumar, Girja S. Srivastava

Publication date: 19 March 2014

Published in: Demonstratio Mathematica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1515/dema-2013-0484

zbMATH Keywords

generalized Cauchy-Riemann systemgeneralized lower order

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Special classes of entire functions of one complex variable and growth estimates (30D15)

Related Items (8)

Generalized slow growth of special monogenic functions ⋮ Generalized growth orders for polymonogenic functions and related inequalities ⋮ Entire monogenic functions of given proximate order and continuous homomorphisms ⋮ Unnamed Item ⋮ Lower growth of generalized Hadamard product functions in Clifford setting ⋮ On the growth order and growth type of entire functions of several complex matrices ⋮ Unnamed Item ⋮ Generalized growth of special monogenic functions

Cites Work

• On the relation between the growth and the Taylor coefficients of entire solutions to the higher-dimensional Cauchy--Riemann system in \(\mathbb R^{n+1}\)
• On the growth type of entire monogenic functions
• Polynomial approximation of an entire function and generalized orders
• On the asymptotic growth of entire monogenic functions
• On the connection between the growth of the maximum modulus of an entire function and the moduli of the coefficients of its power series expansion

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