Konu "Generating function" için listeleme
Toplam kayıt 5, listelenen: 1-5
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Applications of the generalized homogeneous q-shift operator in q-polynomials
(Işık University Press, 2024-04)In this paper, we construct the generalized homogeneous q-shift operatör rΦs ( a1, · · · , ar b1, · · · , bs ; q, cDxy). Then, we apply this operator to derive some q-identities such as: the generating function and its ... -
Applications of the operator rɸs in q-polynomials
(Işık University Press, 2023-04)We establish rΦs as a general operator for many q-operators. A new polynomials hn(a1, · · · , ar; b1, · · · , bs; x, y; q) are described as an extension of the bivariate Rogers-Szegö polynomial hn(x, y|q) and the generalized ... -
The generalized Hahn polynomials
(Işık University Press, 2015)In this paper, we represent the generalized Hahn polynomials ϕ(a)n (x, y) by the Cauchy operator for deriving its identities: generating function, Mehler’s formula, Rogers formula (with some of its applications), Rogers-type ... -
On a distribution of the process describing a service system with unreliable devices
(Işık University Press, 2019)In the paper, the distribution is found for the process {ηt, ξt}, t ≥ 0, in the terms of Laplace transformation. The considered process describes the queuing system with nonhomogeneous Poisson stream of demands and n ... -
On the distribution of the maximum of sums of a sequence of independent and identically distributed random variables
(Işık University Press, 2016)The authors find in terms of generating functions the distribution of the maximum of sums of independent and identically distributed random variables with no negative jumps different from −1.