Generalized derivative and primitive of Cliffordian bases of polynomials constructed through Appell monomials

DOI10.1007/BF03321840zbMath1257.30058OpenAlexW1978588129MaRDI QIDQ1930678

Mahmoud Abul-Ez, João Pedro Morais, Mohra Zayed

Publication date: 11 January 2013

Published in: Computational Methods and Function Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf03321840

zbMATH Keywords

Clifford analysisspecial monogenic polynomials

Mathematics Subject Classification ID

Functions of hypercomplex variables and generalized variables (30G35) Approximation by polynomials (41A10)

Related Items (11)

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 ⋮ On simple exponential sets of polynomials ⋮ Basic sets of special monogenic polynomials in Fréchet modules ⋮ Further developments of Bessel functions via conformable calculus with applications ⋮ Hadamard three-hyperballs type theorem and overconvergence of special monogenic simple series ⋮ Certain bases of polynomials associated with entire functions in Clifford analysis ⋮ Generalized Hadamard product bases of special monogenic polynomials ⋮ On the representation of monogenic functions by the product bases of polynomials ⋮ Bernoulli and Euler polynomials in Clifford analysis

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