Blossoming and Hermite-Padé approximation for hypergeometric series

DOI10.1007/s11075-021-01071-3zbMath1492.65044OpenAlexW3099201773MaRDI QIDQ2234478

Marie-Laurence Mazure, Rachid Ait-Haddou

Publication date: 19 October 2021

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11075-021-01071-3

zbMATH Keywords

hypergeometric seriesrational approximationblossomsHermite-Padé approximation\(q\)-blossomsHermite identity

Mathematics Subject Classification ID

Approximation by rational functions (41A20) Padé approximation (41A21) Computation of special functions and constants, construction of tables (65D20) Computer-aided design (modeling of curves and surfaces) (65D17)

Cites Work

• \(q\)-blossoming: A new approach to algorithms and identities for \(q\)-Bernstein bases and \(q\)-Bézier curves
• Type II Hermite-Padé approximations of generalized hypergeometric series
• Best polynomial degree reduction on \(q\)-lattices with applications to \(q\)-orthogonal polynomials
• The geometry of Tchebycheffian splines
• Blossoms are polar forms
• Arithmetic properties of special Heine series
• Padé approximations to the generalized hypergeometric functions. I
• Blossoming: A geometrical approach
• The fundamental blossoming inequality in Chebyshev spaces. I: Applications to Schur functions
• Padé approximants for the q-elementary functions
• \(q\)-Bernstein polynomials and Bézier curves
• \(q\)-blossoming and Hermite-Padé approximants to the \(q\)-exponential function
• Extended Chebyshev spaces in rationality
• A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND
• HERMITE-PADÉ APPROXIMANTS OF GENERALIZED HYPERGEOMETRIC FUNCTIONS
• RATIONAL APPROXIMATIONS TO 23 AND OTHER ALGEBRAIC NUMBERS
• Quantum calculus
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