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A Method for Analyzing a Special Case of the Sheffer B-Type 1 Polynomial Sequences

2012
In 1939, I.M. Sheffer proved that every polynomial sequence belongs to one and only one Type. He also extensively developed properties of the most basic Type set, entitled B-Type 0 or equivalently A-Type 0 (k = 0 below) $$\begin{array}{rcl} & A(t)\mathrm{exp}\left [x{H}_{1}(t) + \cdots + {x}^{k+1}{H}_{k+1}(t)\right ] = \sum\limits_{n=0}^{\infty }{P}
openaire   +1 more source

Polynomial Sequences

2023
Francesco Aldo Costabile   +2 more
openaire   +2 more sources

Fractional calculus and generalized forms of special polynomials associated with Appell sequences

Georgian Mathematical Journal, 2021
Shahid Ahmad Wani, Subuhi Khan
exaly  

On Appell sequences of polynomials of Bernoulli and Euler type

Journal of Mathematical Analysis and Applications, 2008
Piergiulio Tempesta
exaly  

Recurrence relations and determinant forms for general polynomial sequences. Application to Genocchi polynomials

Integral Transforms and Special Functions, 2019
Anna Napoli, Maria Italia Gualtieri
exaly  

Appell polynomials as values of special functions

Journal of Mathematical Analysis and Applications, 2018
Juan Luis Varona   +2 more
exaly  

Bell polynomials and binomial type sequences

Discrete Mathematics, 2008
Miloud Mihoubi
exaly  

Identities on Bell polynomials and Sheffer sequences

Discrete Mathematics, 2009
Weiping Wang
exaly  

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