Generating functions for polynomials derived from central moments involving bernstein basis functions and their applications

DOI10.1007/S13398-024-01558-3WikidataQ128748417 ScholiaQ128748417MaRDI QIDQ6491062

Publication date: 24 April 2024

Published in: Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM (Search for Journal in Brave)

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Bernoulli and Euler numbers and polynomials (11B68) Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Other analytic theory (analogues of beta and gamma functions, (p)-adic integration, etc.) (11S80)

Cites Work

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On the fermionic \(p\)-adic integral representation of Bernstein polynomials associated with Euler numbers and polynomials
A new generating function of (\(q\)-) Bernstein-type polynomials and their interpolation function
Multidimensional Bernstein polynomials and Bézier curves: analysis of machine learning algorithm for facial expression recognition based on curvature
Formulas for characteristic function and moment generating functions of beta type distribution
Functional equations from generating functions: a novel approach to deriving identities for the Bernstein basis functions
Formulas for Poisson-Charlier, Hermite, Milne-Thomson and other type polynomials by their generating functions and \(p\)-adic integral approach
Apostol-Euler polynomials of higher order and Gaussian hypergeometric functions
A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
Bernstein Operators and Their Properties
Construction method for generating functions of special numbers and polynomials arising from analysis of new operators
New families of special numbers for computing negative order Euler numbers and related numbers and polynomials
Formulas derived from moment generating functions and Bernstein polynomials
A note on characteristic function for Bernstein polynomials involving special numbers and polynomials
Modification exponential Euler type splines derived from Apostol-Euler numbers and polynomials of complex order
Recurrence relations, associated formulas, and combinatorial sums for some parametrically generalized polynomials arising from an analysis of the Laplace transform and generating functions

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