Results 21 to 30 of about 2,576 (164)
Parametric Identification for the Biased Ship Roll Motion Model Using Genocchi Polynomials
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Roll motion is one of the key motions related to a vessel’s dynamic stability. It is essential for the dynamic stability of ships in the realistic sea. For this research study, we have investigated the parameters involved in damping of the ship. In general, mathematical modelling of the rolling response of a ship can be formulated by the linear ...
G. Swaminathan +5 more
wiley +1 more source
Laguerre polynomials in several hypercomplex variables and their matrix representation [PDF]
, 2011 Recently the creation matrix, intimately related to the Pascal matrix and its generalizations, has been used to develop matrix representations of special polynomials, in particular Appell polynomials.
Malonek, Helmuth Robert, Tomaz, Graça
core +1 more source
Two New Generalizations of Extended Bernoulli Polynomials and Numbers, and Umbral Calculus
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 Among a remarkably large number of various extensions of polynomials and numbers, and diverse introductions of new polynomials and numbers, in this paper, we choose to introduce two new generalizations of some extended Bernoulli polynomials and numbers by using the Mittag–Leffler function and the confluent hypergeometric function.
Nabiullah Khan +4 more
wiley +1 more source
Analysis Mathematica, 2019 We introduce polynomial sets of $(p,q)$-Appell type and give some of their characterizations. The algebraic properties of the set of all polynomial sequences of $(p,q)$-Appell type are studied. Next, we give a recurrence relation and a $(p,q)$-difference equation for those polynomials.
Mehmet Ali Özarslan, Banu Yilmaz Yaşar
openaire +3 more sources
Matrix approach to hypercomplex Appell polynomials [PDF]
, 2016 Recently the authors presented a matrix representation approach to real Appell polynomials essentially determined by a nilpotent matrix with natural number entries.
Aceto, Lídia +2 more
core +4 more sources
Determinant Forms, Difference Equations and Zeros of the q-Hermite-Appell Polynomials
Mathematics, 2018 The present paper intends to introduce the hybrid form of q-special polynomials, namely q-Hermite-Appell polynomials by means of generating function and series definition.
Subuhi Khan, Tabinda Nahid
doaj +1 more source
Monogenic pseudo-complex power functions and their applications [PDF]
, 2014 The use of a non-commutative algebra in hypercomplex function theory requires a large variety of different representations of polynomials suitably adapted to the solution of different concrete problems.
Appell +33 more
core +1 more source
General Bivariate Appell Polynomials via Matrix Calculus and Related Interpolation Hints
Mathematics, 2021 An approach to general bivariate Appell polynomials based on matrix calculus is proposed. Known and new basic results are given, such as recurrence relations, determinant forms, differential equations and other properties.
Francesco Aldo Costabile +2 more
doaj +1 more source
Recursion Rules for the Hypergeometric Zeta Functions [PDF]
, 2013 The hypergeometric zeta function is defined in terms of the zeros of the Kummer function M(a, a + b; z). It is established that this function is an entire function of order 1.
Byrnes, Alyssa +3 more
core +2 more sources
A Numerical Computation of Zeros of q-Generalized Tangent-Appell Polynomials
Mathematics, 2020 The intended objective of this study is to define and investigate a new class of q-generalized tangent-based Appell polynomials by combining the families of 2-variable q-generalized tangent polynomials and q-Appell polynomials. The investigation includes
Ghazala Yasmin +2 more
doaj +1 more source