Abstract
In this contribution, some new identities involving Sheffer–Appell polynomial sequences using generalized Pascal functional and Wronskian matrices are deduced. As a direct application of them, identities involving families of polynomials as Euler, Bernoulli, Miller–Lee and Apostol–Euler polynomials, among others, are given.
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Acknowledgements
The authors thank the constructive comments and suggestions by the referees. They have contributed to improve the presentation of this manuscript. Francisco Marcellán has been supported by Ministerio de Economía, Industria y Competitividad of Spain, Grant MTM2015-65888-C4-2-P.
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Marcellán, F., Shadab, M. & Jabee, S. Some New Identities Involving Sheffer–Appell Polynomial Sequences via Matrix Approach. Mediterr. J. Math. 16, 116 (2019). https://doi.org/10.1007/s00009-019-1398-7
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DOI: https://doi.org/10.1007/s00009-019-1398-7
Keywords
- Sheffer–Appell polynomial sequence
- generalized Pascal functional
- Wronskian matrices
- identities
- orthogonal polynomials