Results 51 to 60 of about 103 (90)

-Pascal and -Wronskian Matrices with Implications to -Appell Polynomials [PDF]

open access: yesJournal of Discrete Mathematics, 2013
We introduce a -deformation of the Yang and Youn matrix approach for Appell polynomials. This will lead to a powerful machinery for producing new and old formulas for -Appell polynomials, and in particular for -Bernoulli and -Euler polynomials. Furthermore, the --polynomial, anticipated by Ward, can be expressed as a sum of products of -Bernoulli and ...
openaire   +1 more source

A New Generalization of Legendre-Based Appell Polynomials with Two Parameters and Their Applications

open access: yesAxioms
In the present work, we introduce and study a new two-parameter generalization of Legendre-based Appell polynomials, defined through an explicit representation that unifies classical Legendre structures with the Appell polynomial framework. Starting from
Ghaliah Alhamzi   +4 more
doaj   +1 more source

Evaluation of q-Truncated-Exponential-Based Hahn–Appell Polynomials in the Framework of Quantum Calculus

open access: yesMathematics
This paper develops a two-variable truncated-exponential-based Hahn–Appell polynomial family of order r in quantum q-calculus, generated by A(t)(1−ηtr)−1eqwt(ζt), where A(t) is a normalized determining function and eqwt denotes the Hahn-type q ...
Waseem Ahmad Khan   +3 more
doaj   +1 more source

Multiplication formulas for q-Appell polynomials and the multiple q-power sums

open access: yesAnnales Universitatis Mariae Curie-Sklodowska, sectio A – Mathematica, 2016
In the first article on q-analogues of two Appell polynomials, the generalized Apostol-Bernoulli  and Apostol-Euler  polynomials, focus was on generalizations, symmetries, and complementary argument theorems. In this second article, we focus on a recent paper by Luo, and one paper on power sums by Wang and Wang.
openaire   +2 more sources

Deformed Bivariate $q$-Appell Polynomials

open access: yes
In this paper, we introduce bivariate polynomial sets of deformed $q$-Appell type, and we study the algebraic properties of these sets. We show the relation between deformed bivariate $q$-Appell polynomials and deformed homogeneous polynomials. Next, we give some of their characterizations and algebraic structure.
openaire   +2 more sources

Symmetric q-Appel polynomials via determinantal approches

open access: yesFilomat
This paper sets out to give a determinantal definition for symmetric q-Appel polynomials (symmetric under the interchange q ?-1 q) and justify some properties in the lights of the new definition.
openaire   +1 more source

THE POWER COLLECTION METHOD FOR CONNECTION RELATIONS: MEIXNER POLYNOMIALS. [PDF]

open access: yesJ Class Anal, 2017
Baeder MA   +3 more
europepmc   +1 more source

A note on some identities of derangement polynomials. [PDF]

open access: yesJ Inequal Appl, 2018
Kim T, Kim DS, Jang GW, Kwon J.
europepmc   +1 more source

Wavelet-Variance-Based Estimation for Composite Stochastic Processes. [PDF]

open access: yesJ Am Stat Assoc, 2013
Guerrier S   +3 more
europepmc   +1 more source

Some bilinear generating functions. [PDF]

open access: yesProc Natl Acad Sci U S A, 1969
Srivastava HM.
europepmc   +1 more source

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