Results 21 to 30 of about 2,589 (160)
Generalized Fubini Apostol‐Type Polynomials and Probabilistic Applications
International Journal of Mathematics and Mathematical Sciences, Volume 2022, Issue 1, 2022., 2022 The paper aims to introduce and investigate a new class of generalized Fubini‐type polynomials. The generating functions, special cases, and properties are introduced. Using the generating functions, various interesting identities, and relations are derived. Also, special polynomials are obtained from the general class of polynomials.
Rabab S. Gomaa +2 more
wiley +1 more source
A Specific Method for Solving Fractional Delay Differential Equation via Fraction Taylor’s Series
Mathematical Problems in Engineering, Volume 2022, Issue 1, 2022., 2022 It is well known that the appearance of the delay in the fractional delay differential equation (FDDE) makes the convergence analysis very difficult. Dealing with the problem with the traditional reproducing kernel method (RKM) is very tricky. The feature of this paper is to gain a more credible approximate solution via fractional Taylor’s series (FTS).
Ming-Jing Du, Ahmed Salem
wiley +1 more source
A New Class of Extended Hypergeometric Functions Related to Fractional Integration and Transforms
Journal of Mathematics, Volume 2022, Issue 1, 2022., 2022 The focus of this research is to use a new extended beta function and develop the extensions of Gauss hypergeometric functions and confluent hypergeometric function formulas that are presumed to be new. Four theorems have also been defined under the generalized fractional integral operators that provide an image formula for the extension of new Gauss ...
Vandana Palsaniya +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
On the structure of generalized Appell sequences of paravector valued homogeneous monogenic polynomials [PDF]
, 2012 The fact that generalized Appell sequences of monogenic polynomials in the setting of hypercomplex function theory also satisfy a corresponding binomial type theorem allows to obtain their explicit structure.
Cruz, Carla +2 more
core +1 more source
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
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
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
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
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