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A Class of Generating Functions
SIAM Journal on Mathematical Analysis, 1977Generating functions of the type $\sum_0^\infty {L_n^{(\alpha + \beta x)} (x)z^n } $, $P_n^{(\alpha + \gamma n,\beta + \delta n)} (x)z^n $ have been obtained recently. In the present paper a general result of this kind is derived making use of the Lagrange expansion. A number of applications are given.
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Generalized Poisson Functionals
Probability Theory and Related Fields, 1988With the aim of treating nonlinear systems with inputs being discrete and outputs being generalized functions, generalized Poisson functionals are defined and analysed, where the U-transforms and the renormalizations play essential roles. For Poisson functionals, the differential operators with respect to a Poisson white noise Ṗ(t), their adjoint ...
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Jensen-information generating function and its connections to some well-known information measures
Statistics and Probability Letters, 2021Omid Kharazmi
exaly
Physica A: Statistical Mechanics and Its Applications, 2023
Omid Kharazmi, Javier E Contreras-Reyes
exaly
Omid Kharazmi, Javier E Contreras-Reyes
exaly
Information generating function for order statistics and mixed reliability systems
Communications in Statistics - Theory and Methods, 2022Omid Kharazmi
exaly
Umbral treatment and lacunary generating function for Hermite polynomials
Georgian Mathematical Journal, 2023Nusrat Raza, Umme Zainab
exaly
A Generalization of Ackermann's Function
Mathematical Logic Quarterly, 1980openaire +2 more sources