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- Title
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series.
- Authors
Khan, Waseem Ahmad; Araci, Serkan; Acikgoz, Mehmet; Esi, Ayhan
- Abstract
In the paper, we define Laguerre-based Hermite-Bernoulli polynomial with its generating function, and investigate certain properties. From this generating function, we derive summation formulas and related bilateral series associated with the newly introduced generating function. Some of whose special cases are also presented. Relevant connections of some results presented here with those involving simpler known partly unilateral and partly bilateral representations are also obtained.
- Subjects
BERNOULLI polynomials; HERMITE polynomials; LAGUERRE polynomials; MATHEMATICAL series; GENERATING functions; ADDITION (Mathematics)
- Publication
Tbilisi Mathematical Journal, 2018, Vol 11, Issue 2, p111
- ISSN
1875-158X
- Publication type
Article
- DOI
10.32513/tbilisi/1529460026