Results 51 to 60 of about 56,955 (119)
On the Generalized Class of Multivariable Humbert‐Type Polynomials
International Journal of Mathematics and Mathematical Sciences, Volume 2025, Issue 1, 2025.The present paper deals with the class of multivariable Humbert polynomials having generalization of some well‐known polynomials like Gegenbauer, Legendre, Chebyshev, Gould, Sinha, Milovanović‐Djordjević, Horadam, Horadam‐Pethe, Pathan and Khan, a class of generalized Humbert polynomials in two variables etc.
B. B. Jaimini +4 more
wiley +1 more source
International Scholarly Research Notices, Volume 2011, Issue 1, 2011., 2011 We study a class of linear matrix differential equations (regular case) of higher order whose coefficients are square constant matrices. By using matrix pencil theory and the Weierstrass canonical form of the pencil we obtain formulas for the solutions and we show that the solution is unique for consistent initial conditions and infinite for ...
Ioannis K. Dassios, T. Yamazaki
wiley +1 more source
Abstract and Applied Analysis, Volume 2010, Issue 1, 2010., 2010 In some interesting applications in control and system theory, linear descriptor (singular) matrix differential equations of higher order with time‐invariant coefficients and (non‐) consistent initial conditions have been used. In this paper, we provide a study for the solution properties of a more general class of the Apostol‐Kolodner‐type equations ...
Athanasios A. Pantelous +4 more
wiley +1 more source
On Multiple Interpolation Functions of the Nörlund‐Type q‐Euler Polynomials
Abstract and Applied Analysis, Volume 2009, Issue 1, 2009., 2009 In (2006) and (2009), Kim defined new generating functions of the Genocchi, Nörlund‐type q‐Euler polynomials and their interpolation functions. In this paper, we give another definition of the multiple Hurwitz type q‐zeta function. This function interpolates Nörlund‐type q‐Euler polynomials at negative integers.
Mehmet Acikgoz +2 more
wiley +1 more source
A Unified Family of Generalized $q$-Hermite Apostol Type Polynomials and its Applications
Communications in Advanced Mathematical Sciences, 2019 The intended objective of this paper is to introduce a new class of generalized $q$-Hermite based Apostol type polynomials by combining the $q$-Hermite polynomials and a unified family of $q$-Apostol-type polynomials.
Subuhi Khan, Tabinda Nahid
semanticscholar +1 more source
, 2018 The aim of this paper is to investigate the bifurcation and chaotic behaviour in the two-parameter family of transcendental functions f λ , n ( x ) = λ x ( e x + 1 ) n , λ > 0 , x ∈ R , n ∈ N \ { 1 } which arises from the generating function of the ...
Mohammad Sajid
semanticscholar +1 more source
Explicit formula of a new class of q-Hermite-based Apostol-type polynomials and generalization
, 2020 : The present article deals with a recent study of a new class of q-Hermite-based Apostol-type polynomials introduced by Waseem A. Khan and Divesh Srivastava.
M. Goubi
semanticscholar +1 more source
Some New Symmetric Identities for the q-Zeta Type Functions
, 2013 The main object of this paper is to obtain several symmetric properties of the q-Zeta type functions. As applications of these properties, we give some new interesting identities for the modified q-Genocchi polynomials.
Araci, Serkan +3 more
core +1 more source
Some identities of higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus [PDF]
, 2013 In this paper, we study umbral calculus to have alternative ways of obtaining our results. That is, we derive some interesting identities of the higher-order Bernoulli, Euler and Hermite polynomials arising from umbral calculus to have alternative ways ...
Dolgy, Dmitry v. +3 more
core
On applications of blending generating functions of q-Apostol-type polynomials [PDF]
Notes on Number Theory and Discrete Mathematics, 2019 Motivated by Kurt's blending generating functions of q-Apostol polynomials [16], we investigate some new identities and relations. We also aim to derive several new connections between these polynomials and generalized q-Stirling numbers of the second kind. Additionally, by making use of the fermionic p-adic integral over the p-adic numbers field, some
Duran, Ugur +2 more
openaire +4 more sources