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Congruences for Sheffer sequences [PDF]
Australas. J Comb.Let \(\{P_{n}(x)\}_{n\in\mathbb{N}}\) be the sequence of Scheffer polynomials, i.e., the sequence coming from the power series expansion \[ g(t)e^{xf(t)}=\sum_{n=0}^{\infty}\frac{P_{n}(x)}{n!}t^{n}, \] where \(f(t)=\sum_{n=0}^{\infty}f_{n}t^{n}/n!, g(t)=\sum_{n=0}^{\infty}g_{n}t^{n}/n!\) are formal power series with \(f_{0}=0\) and \(g_{0}, f_{1}\neq 0\
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A note on the post quantum-Sheffer polynomial sequences
Forum MathematicumAbstract In this article, the post quantum analogue of Sheffer polynomial sequences is introduced using concepts of post quantum calculus. The series representation, recurrence relations, determinant expression and certain other properties of this class are established.
Khan, Subuhi, Haneef, Mehnaz
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Symmetric Sheffer sequences and their applications to lattice path counting
Journal of Statistical Planning and Inference, 1996zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Some properties of degenerate Sheffer sequences based on algebraic approach
Indian Journal of Pure and Applied Mathematics, 2023Mumtaz Riyasat +2 more
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Unification of the generating functions for Sheffer type sequences and their applications
2023In this paper, it is aimed to introduce a unification and generalization of the generating functions for Sheffer type sequences such as the Peters polynomials, the Boole polynomials, the Changhee polynomials, the Korobov polynomials of the first kind and the Peters-type Simsek numbers and polynomials.
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An algebraic approach to Sheffer polynomial sequences
Integral Transforms and Special Functions, 2014Elisabetta Longo +1 more
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Legendre-Gould Hopper-Based Sheffer Polynomials and Operational Methods
Symmetry, 2020Talha Usman +2 more
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