Lower growth of generalized Hadamard product functions in Clifford setting

DOI10.1007/s40840-020-00983-yzbMath1462.30104OpenAlexW3046109795MaRDI QIDQ2021663

Mohra Zayed

Publication date: 27 April 2021

Published in: Bulletin of the Malaysian Mathematical Sciences Society. Second Series (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40840-020-00983-y

zbMATH Keywords

Hadamard productClifford algebragrowth orderaxially monogenic function

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 (5)

Approximation of monogenic functions by hypercomplex Ruscheweyh derivative bases ⋮ On Hadamard's three‐hyperballs theorem and its applications to Whittaker‐Cannon hypercomplex theory ⋮ Approximation of functions by complex conformable derivative bases in Fréchet spaces ⋮ Criteria in nuclear Fréchet spaces and Silva spaces with refinement of the Cannon-Whittaker theory ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis

Cites Work

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• On the lower order and type of entire axially monogenic functions
• Generalized growth of monogenic Taylor series of finite convergence radius
• Special monogenic polynomials and \(L_2\)-approximation
• 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
• A note on growth of generalized Hadamard product of entire functions
• Expansion of analytic functions in \(q\)-orthogonal polynomials
• On the order of basic series representing Clifford valued functions.
• Generalizations of Hadamard products of functions with negative coefficients
• Generalized Hadamard product bases of special monogenic polynomials
• On the growth order and growth type of entire functions of several complex matrices
• Lower bounds for Gaussian Estrada index of graphs
• On the asymptotic growth of entire monogenic functions
• Basic sets of polynomials. I
• Hadamard product of bases of polynomials in clifford analysis
• Application of Holomorphic Functions in Two and Higher Dimensions
• Generalized order of entire monogenic functions of slow growth
• On polynomial series expansions of Cliffordian functions
• Power series representation for monogenic functions in based on a permutational product
• Basics on growth orders of polymonogenic functions
• Basic sets of pofynomials in clifford analysis
• The Local Growth of Power Series: A Survey of the Wiman-Valiron Method
• On the Wright hypergeometric matrix functions and their fractional calculus
• On a generalized Appell system and monogenic power series
• On the generalized order and generalized type of entire monogenic functions
• Applications of the maximum term and the central index in the asymptotic growth analysis of entire solutions to higher dimensional polynomial Cauchy–Riemann equations
• On The Order and Type of Entire Matrix Functions in Complete Reinhardt Domain

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