Browsing by Author "Khan, Waseem Ahmad"
Now showing items 1-9 of 9
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Evaluation of the poly-jindalrae and poly-gaenari polynomials in terms of degenerate functions
Alam, Noor; Khan, Waseem Ahmad; Araci, Serkan; Zaidi, Hasan Nihal; Al Taleb, Anas (MDPI, AUG 2023)The fundamental aim of this paper is to introduce the concept of poly-Jindalrae and poly-Gaenari numbers and polynomials within the context of degenerate functions. Furthermore, we give explicit expressions for these ... -
Explicit properties of apostol-type frobenius-euler polynomials involving q-trigonometric functions with applications in computer modeling
Rao, Yongsheng; Khan, Waseem Ahmad; Araci, Serkan; Ryoo, Cheon Seoung (MDPI, MAY 20 202)In this article, we define q-cosine and q-sine Apostol-type Frobenius-Euler polynomials and derive interesting relations. We also obtain new properties by making use of power series expansions of q-trigonometric functions, ... -
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 ... -
Fully degenerating of daehee numbers and polynomials
Albosaily, Sahar; Khan, Waseem Ahmad; Araci, Serkan; Iqbal, Azhar (MDPI, July 2022)In this paper, we consider fully degenerate Daehee numbers and polynomials by using degenerate logarithm function. We investigate some properties of these numbers and polynomials. We also introduce higher-order multiple ... -
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 ...
