A note on characteristic function for Bernstein polynomials involving special numbers and polynomials

DOI10.2298/FIL2002543SzbMath1499.05047OpenAlexW3111285862MaRDI QIDQ5865627

Buket Simsek

Publication date: 9 June 2022

Published in: Filomat (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/fil2002543s

zbMATH Keywords

Bernstein polynomialscharacteristic functiongenerating functionStirling numbersmoment generating functiondistribution functionsexpected valuescombinatorial numbers

Mathematics Subject Classification ID

Characteristic functions; other transforms (60E10) Exact enumeration problems, generating functions (05A15) Probability distributions: general theory (60E05) Bernoulli and Euler numbers and polynomials (11B68) Special sequences and polynomials (11B83)

Cites Work

• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• A New Nonparametric Estimation Method of the Variance in Heteroscedastic Model
• 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
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