[PDF][PDF] On the Poisson-Charlier polynomials

N Özmen, E Erkuş-Duman - Serdica Mathematical Journal, 2015 - academia.edu
In this paper the Poisson-Charlier polynomials are introduced. Some of their recurrence
relations are presented. Various families of bilinear and bilateral generating functions for …

Characterization of deferred type statistical convergence and P‐summability method for operators: Applications to q‐Lagrange–Hermite operator

PN Agrawal, R Shukla… - Mathematical Methods in …, 2023 - Wiley Online Library
The present work considers two important convergence techniques, namely, deferred type
statistical convergence and PP‐summability method in respect of linear positive operators …

Generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials

NF Yalçın, D Taşcı, E Erkuş-Duman - Mathematical Communications, 2015 - hrcak.srce.hr
Sažetak In this paper generalized Vieta-Jacobsthal and Vieta-Jacobsthal-Lucas polynomials
are introduced. The Binet form and some of their recursive features are given. Various …

[PDF][PDF] On Binomial and Trinomial operator representations of certain Polynomials

MA Khan, AK Shukla - Pro Mathematica, 2008 - revistas.pucp.edu.pe
ON BINOMIAL AND TRINOMIAL OPERATOR REPRESENTATIONS OF CERTAIN
POLYNOMIALS Page 1 ON BINOMIAL AND TRINOMIAL OPERATOR REPRESENTATIONS OF …

[PDF][PDF] Some new properties of the Meixner polynomials

N Özmen - Sakarya University Journal of Science, 2017 - dergipark.org.tr
The present study deals with some new properties for the Meixner polynomials. In this
manuscript we obtain a number of families of bilineer and bilateral generating functions …

Probabilistic Degenerate Laguerre Polynomials with Random Variables

L Luo, Y Ma, T Kim, W Liu - Russian Journal of Mathematical Physics, 2024 - Springer
In this paper, we define the probabilistic degenerate Laguerre polynomials associated with
random variables and the probabilistic degenerate generalized Laguerre polynomials …

Linearization of the products of the generalized Lauricella polynomials and the multivariate Laguerre polynomials via their integral representations

SJ Liu, SD Lin, HC Lu, H Srivastava - Studia Scientiarum …, 2013 - akjournals.com
In this paper, the authors investigate the linearization problems associated with two families
of generalized Lauricella polynomials of the first and second kinds. By means of their …

[PDF][PDF] On a multivariable extension of Laguerre matrix ploynomials

V Singh, MA Khan, AH Khan - Electron. J. Math. Anal. Appl, 2018 - journals.ekb.eg
This paper deals with the series expansion formula, summation formula and recurrence
relations for Laguerre matrix polynomials of several variables. New generating functions and …

Approximation by a Double Sequence of Operators Involving Multivariable q-Lagrange–Hermite Polynomials

B Baxhaku, PN Agrawal, KC Lachhwani - Operators, Inequalities and …, 2024 - Springer
In this chapter, we introduce a bivariate extension of the linear positive operators based on
multivariate q-Lagrange–Hermite polynomials and determine the degree of approximation …

Extended multivariable fourth type Horn functions

D Korkmaz-Duzgun, E Erkus-Duman - Gazi University Journal of …, 2019 - dergipark.org.tr
In this paper, we define extension of multivariable fourth kind Horn functions. Then, we
obtain some generating functions for these functions. Furthermore, we get bilateral …