Abstract
A variety of polynomials, their extensions and variants have been extensively investigated, due mainly to their potential of applications in diverse research areas. In this sequel, we introduce a new class of generalized Laguerre–Euler polynomials and present certain potentially useful formulas and identities such as implicit summation formulae and symmetry identities. The new class of polynomials introduced and the results presented here, being very general, are shown to be specialized to reduce to various known polynomials and to yield some known and new formulas and identities, respectively.
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The authors would like to express their deep-felt thanks for the reviewers’ very helpful and informative comments to improve this paper as it stands.
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Khan, N., Usman, T. & Choi, J. A new class of generalized Laguerre–Euler polynomials. RACSAM 113, 861–873 (2019). https://doi.org/10.1007/s13398-018-0518-8
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DOI: https://doi.org/10.1007/s13398-018-0518-8
Keywords
- Laguerre polynomials
- Hermite polynomials
- Bernoulli and generalized Bernoulli polynomials
- Euler and generalized Euler polynomials
- Laguerre–Euler polynomials
- Summation formulae
- Symmetry identities