Formulas derived from moment generating functions and Bernstein polynomials

DOI10.2298/AADM191227036SzbMath1499.11154OpenAlexW2994872706WikidataQ126558977 ScholiaQ126558977MaRDI QIDQ5028825

Buket Simsek

Publication date: 10 February 2022

Published in: Applicable Analysis and Discrete Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2298/aadm191227036s

zbMATH Keywords

generating functionscombinatorial identitiescharacteristic functiondistribution functionsspecial polynomials and numbers

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Combinatorial identities, bijective combinatorics (05A19) Special sequences and polynomials (11B83)

Related Items (5)

Formulas for characteristic function and moment generating functions of beta type distribution ⋮ Generating functions for generalization Simsek numbers and their applications ⋮ Some identities involving derangement polynomials and numbers and moments of gamma random variables ⋮ Rate of approximation for modified Lupaş-Jain-beta operators ⋮ A note on characteristic function for Bernstein polynomials involving special numbers and polynomials

Cites Work

• Some generalizations of the Apostol-Genocchi polynomials and the Stirling numbers of the second kind
• A multiplication theorem for the Lerch zeta function and explicit representations of the Bernoulli and Euler polynomials
• Generating functions for generalized Stirling type numbers, array type polynomials, Eulerian type polynomials and their applications
• 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
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