Results 11 to 20 of about 1,365,933 (128)
About properties and the monomiality principle of Bell-based Apostol-Bernoulli-type polynomials
Carpathian Mathematical PublicationsThis article investigates the properties and monomiality principle within Bell-based Apostol-Bernoulli-type polynomials. Beginning with the establishment of a generating function, the study proceeds to derive explicit expressions for these polynomials, providing insight into their structural characteristics.
W. Ramírez +4 more
semanticscholar +4 more sources
Journal of Mathematics and Computer ScienceThe article introduces a novel class of polynomials, HQ [∆h] m (q1 , q2, q3, q4 , q5; h), termed ∆h Hermite-based Appell polynomials, utilizing the monomiality principle. These polynomials exhibit close connections with ∆h Hermite-based Bernoulli, Euler, and Genocchi polynomials, elucidating their specific properties and explicit forms.
Ramirez, William +4 more
semanticscholar +4 more sources
A determinantal approach to Sheffer–Appell polynomials via monomiality principle
Journal of Mathematical Analysis and Applications, 2015 The authors have combined the Appell and Sheffer polynomials to introduce Sheffer-Appell polynomials by means of generating function, series definition and determinantal definition. Since any sequence of polynomials is quasi-monomial [\textit{Y. Ben Cheikh}, Appl. Math. Comput. 141, No. 1, 63--76 (2003; Zbl 1041.33008)], the quasi-monomiality operators
Khan, Subuhi, Riyasat, Mumtaz
semanticscholar +4 more sources
Mathematical and Computer Modelling, 2007 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
G. DATTOLI +2 more
semanticscholar +3 more sources
Monomiality principle, operational methods and family of Laguerre–Sheffer polynomials
Journal of Mathematical Analysis and Applications, 2012 The authors use the monomiality principle formalism and operational methods in order to introduce the Laguerre-Sheffer polynomials. The generating function for these polynomials is derived and a correspondence between the Laguerre-Sheffer and the Sheffer polynomials is established.
Khan, Subuhi, Raza, Nusrat
semanticscholar +4 more sources
Explicit relations on the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials and numbers [PDF]
Notes on Number Theory and Discrete Mathematics, 2023 The main aim of this paper is to introduce and investigate the degenerate type 2-unified Apostol–Bernoulli, Euler and Genocchi polynomials by using monomiality principle and operational methods.
Burak Kurt
doaj +3 more sources
Construction of a new family of Fubini-type polynomials and its applications [PDF]
Advances in Difference Equations, 2021 This paper gives an overview of systematic and analytic approach of operational technique involves to study multi-variable special functions significant in both mathematical and applied framework and to introduce new families of special polynomials ...
H. M. Srivastava +5 more
doaj +2 more sources
On monomiality property of q-Gould-Hopper-Appell polynomials
Arab Journal of Basic and Applied SciencesRecently, in the theory of q-special functions, the extension of the monomiality concept to q-special polynomials is introduced. This extension can be a beneficial tool for considering the quasi-monomiality of certain q-special polynomials.
Nusrat Raza, Mohammed Fadel, Subuhi Khan
doaj +2 more sources
Truncated-exponential-based Frobenius–Euler polynomials [PDF]
Advances in Difference Equations, 2019 In this paper, we first introduce a new family of polynomials, which are called the truncated-exponential based Frobenius–Euler polynomials, based upon an exponential generating function.
Wiyada Kumam +4 more
doaj +2 more sources
Two-Variable q-Hermite-Based Appell Polynomials and Their Applications
MathematicsA noteworthy advancement within the discipline of q-special function analysis involves the extension of the concept of the monomiality principle to q-special polynomials.
Mohammed Fadel +2 more
doaj +2 more sources