[PDF][PDF] Asymptotics of the Humbert Function for Two Large Arguments
Recently, Wald and Henkel (2018) derived the leading-order estimate of the Humbert
functions Φ2, Φ3 and Ξ2 for two large arguments, but their technique cannot handle the …
functions Φ2, Φ3 and Ξ2 for two large arguments, but their technique cannot handle the …
Generating functions of Pollaczek polynomials: a revisit
MJ Luo, RK Raina - Integral Transforms and Special Functions, 2019 - Taylor & Francis
This paper is mainly devoted to generating functions of Pollaczek and other related
polynomials. We first present a new proof of Wimp's formula for the associated Pollaczek …
polynomials. We first present a new proof of Wimp's formula for the associated Pollaczek …
New results on the associated Meixner, Charlier, and Krawtchouk polynomials
K Ahbli - Integral Transforms and Special Functions, 2024 - Taylor & Francis
We give new explicit formulas as well as new generating functions for the associated
Meixner, Charlier, and Krawtchouk polynomials. The obtained results are then used to …
Meixner, Charlier, and Krawtchouk polynomials. The obtained results are then used to …
Certain results on generating functions related to the associated Meixner-Pollaczek polynomials
MJ Luo, R Krishna Raina, SH Zhao - Integral Transforms and …, 2022 - Taylor & Francis
In the present paper we first derive a new form of a generating function for the c-associated
Meixner-Pollaczek polynomials. This generating function is of particular importance since its …
Meixner-Pollaczek polynomials. This generating function is of particular importance since its …
New results on the associated Meixner, Charlier, Laguerre, and Krawtchouk polynomials
K Ahbli - arXiv preprint arXiv:2306.05371, 2023 - arxiv.org
We give new explicit representations as well as new generating functions for the associated
Meixner, Charlier, Laguerre, and Krawtchouk polynomials. The obtained results are then …
Meixner, Charlier, Laguerre, and Krawtchouk polynomials. The obtained results are then …
On the spherical clothoid
A Ionut - arXiv preprint arXiv:2203.07963, 2022 - arxiv.org
We revisit a nonlinear spline primitive for 3-space first studied by Even Mehlum. It is the
spherical clothoid, the spherical curve with geodesic curvature a linear function of arc length …
spherical clothoid, the spherical curve with geodesic curvature a linear function of arc length …
Closed-form expressions, generating function and Mehler-Heine type formula for the associated Meixner polynomials and some applications
K Ahbli - arXiv preprint arXiv:2103.08367, 2021 - arxiv.org
We give a closed-form expression for the associated Meixner polynomials from which we
derive closed-form expressions for the associated Charlier and Laguerre polynomials by a …
derive closed-form expressions for the associated Charlier and Laguerre polynomials by a …