Browsing by Author "Khan, Waseem Ahmad"
Now showing items 1-6 of 6
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FULLY DEGENERATE HERMITE POLY-BERNOULLI NUMBERS AND POLYNOMIALS
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Araci, Serkan; Acikgoz, Mehmet (MILI PUBL, 2018-04)In the paper, we first introduce the fully degenerate Hermite poly-Bernoulli polynomials and investigate their properties. Next we derive the implicit summation formulae and general symmetry identities by making use of ... -
Laguerre-based Hermite-Bernoulli polynomials associated with bilateral series
Araci, Serkan; Khan, Waseem Ahmad; Acikgoz, Mehmet; Esi, Ayhan (TBILISI CENTRE MATH SCI, 2018-06)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 ... -
Multifarious implicit summation formulae of Hermite-based poly-Daehee polynomials
Khan, Waseem Ahmad; Nisar, Kottakkaran Sooppy; Duran, Ugur; Acikgoz, Mehmet; Araci, Serkan (Natural Sciences Publishing USA, 2018-03-01)In this paper, we introduce the generating function of Hermite-based poly-Daehee numbers and polynomials. By making use of this generating function, we investigate some new and interesting identities for the Hermite-based ... -
New construction of type 2 degenerate central Fubini polynomials with their certain properties
Araci, Serkan; Sharma, Sunil Kumar; Khan, Waseem Ahmad; Ahmed, Sameh S. (Springer Science and Business Media Deutschland GmbH, 1 December)Kim et al. (Proc. Jangjeon Math. Soc. 21(4):589–598, 2018) have studied the central Fubini polynomials associated with central factorial numbers of the second kind. Motivated by their work, we introduce degenerate version ... -
New type of degenerate Daehee polynomials of the second kind
Kumar Sharma, Sunil; Khan, Waseem Ahmad; Araci, Serkan; Ahmed, Sameh S. (Springer, 1 December)Recently, Kim and Kim (Russ. J. Math. Phys. 27(2):227–235, 2020) have studied new type degenerate Bernoulli numbers and polynomials by making use of degenerate logarithm. Motivated by (Kim and Kim in Russ. J. Math. Phys. ... -
Symmetric identities of Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a dirichlet character χ
Araci, Serkan; Khan, Waseem Ahmad; Nişar, Kottakkaran Sooppy (MDPI AG, 2018-12-01)We aim to introduce arbitrary complex order Hermite-Bernoulli polynomials and Hermite-Bernoulli numbers attached to a Dirichlet character χ and investigate certain symmetric identities involving the polynomials, by mainly ...
