Results 11 to 20 of about 3,748 (154)
Sheffer sequences of polynomials and their applications [PDF]
Advances in Difference Equations, 2013 In this paper, we investigate some properties of several Sheffer sequences of several polynomials arising from umbral calculus.
Dae San Kim +3 more
core +9 more sources
Self-inverse Sheffer sequences and Riordan involutions [PDF]
Discrete Applied Mathematics, 2009 In this short note we focus on self-inverse Sheffer sequences and involutions in the Riordan group. We translate the results of Brown and Kuczma on self-inverse sequences of Sheffer polynomials to describe all involutions in the Riordan group.
Ana Luzón, Manuel A. Morón
openalex +3 more sources
A Class of Sheffer Sequences of Some Complex Polynomials and Their Degenerate Types [PDF]
Mathematics, 2019 We study some properties of Sheffer sequences for some special polynomials with complex Changhee and Daehee polynomials introducing their complex versions of the polynomials and splitting them into real and imaginary parts using trigonometric polynomial ...
Dojin Kim
doaj +2 more sources
Finding Determinant Forms of Certain Hybrid Sheffer Sequences [PDF]
Mathematics, 2019 In this article, the integral transform is used to introduce a new family of extended hybrid Sheffer sequences via generating functions and operational rules. The determinant forms and other properties of these sequences are established using a matrix approach.
Monairah Alansari +3 more
openalex +3 more sources
Certain hybrid polynomials associated with Sheffer sequences [PDF]
, 2019 Inspired by the framework of operational methods and based on the generating functions of Legendre-Gould Hopper polynomials and Sheffer sequences, we discuss certain new mixed type polynomials and their important properties. We show that the use of operational nature allows the relevant polynomials to be unified and general in nature. It is illustrated
Nabiullah Khan, Talha Usman, Mohd Aman
openalex +3 more sources
Differential Equation and Recursive Formulas of Sheffer Polynomial Sequences [PDF]
ISRN Discrete Mathematics, 2011 We derive a differential equation and recursive formulas of Sheffer polynomial sequences utilizing matrix algebra. These formulas provide the defining characteristics of, and the means to compute, the Sheffer polynomial sequences. The tools we use are well-known Pascal functional and Wronskian matrices.
Heekyung K. Youn, Yongzhi Yang
openalex +4 more sources
The iterated logarithmic algebra II: Sheffer sequences [PDF]
Journal of Mathematical Analysis and Applications, 1995 An extension of the theory of the Iterated Logarithmic Algebra gives the logarithmic analog of a Sheffer or Appell sequence of polynomials. This leads to several examples including Stirling's formula and a logarithmic version of the Euler-MacLaurin summation formula.
Daniel E. Loeb
openalex +3 more sources
A Digital Binomial Theorem for Sheffer Sequences [PDF]
, 2015 We extend the digital binomial theorem to Sheffer polynomial sequences by demonstrating that their corresponding Sierpi ski matrices satisfy a multiplication property that is equivalent to the convolution identity for Sheffer sequences.
Toufik Mansour, Hiêú D. Nguyêñ
openalex +3 more sources
Sheffer-Dunkl Sequences Via Umbral Calculus in the Dunkl Context [PDF]
Bulletin of the Malaysian Mathematical Sciences SocietyAbstractUmbral calculus refers to a series of techniques that can be used to prove some polynomial formulas. Nowadays, it mostly involves the study of Sheffer sequences. In this paper, we focus on a generalization of umbral calculus in a Dunkl context (that we call Dunkl-umbral calculus).
Alejandro Gil Asensi +2 more
openalex +5 more sources
The classical umbral calculus: Sheffer sequences [PDF]
, 2008 Following the approach of Rota and Taylor \cite{SIAM}, we present an innovative theory of Sheffer sequences in which the main properties are encoded by using umbrae. This syntax allows us noteworthy computational simplifications and conceptual clarifications in many results involving Sheffer sequences.
Elvira Di Nardo +2 more
openalex +4 more sources