Zobrazeno 1 - 10
of 189
pro vyhledávání: '"Mehmet Acikgoz"'
Publikováno v:
Applied Mathematics in Science and Engineering, Vol 32, Iss 1 (2024)
In this paper, we introduce the probabilistic Bernstein polynomials and derive new and interesting correlations among several special functions and special number sequences such as Euler polynomials, Bernoulli polynomials of higher order, Frobenius
Externí odkaz:
https://doaj.org/article/c21dc5474d81493eb60792f44f9488b5
Publikováno v:
AIMS Mathematics, Vol 7, Iss 9, Pp 17225-17235 (2022)
The study of expansions of certain mock theta functions in special functions theory has a long and quite significant history. Motivated by recent correlations between q-series and mock theta functions, we establish a new q-series transformation formu
Externí odkaz:
https://doaj.org/article/f07c49a52b064b3cbd3e642a33151228
Publikováno v:
Advances in Difference Equations, Vol 2020, Iss 1, Pp 1-14 (2020)
Abstract Kim and Kim (Russ. J. Math. Phys. 26(1):40–49, 2019) have studied the type 2 poly-Bernoulli polynomials. Inspired by their work, we consider a new class of the Frobenius–Genocchi polynomials, which is called the type 2 poly-Frobenius–G
Externí odkaz:
https://doaj.org/article/6c9c5b5ed60a48aeb0ca1aa8d0d7f855
Autor:
Serkan Araci, Mehmet Acikgoz
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-11 (2018)
Abstract In the present paper, firstly we find a number of poles of generating functions of Bernoulli numbers and associated Euler numbers, denoted by n(a,B) $n ( a,\mathbf{B} ) $ and n(a,E) $n ( a,E ) $, respectively. Secondly, we derive the mean va
Externí odkaz:
https://doaj.org/article/e00e29deebf94575ba473659f8ef25e1
Publikováno v:
Advances in Difference Equations, Vol 2018, Iss 1, Pp 1-30 (2018)
Abstract We establish fractional integral and derivative formulas by using fractional calculus operators involving the extended generalized Mathieu series. Next, we develop their composition formulas by applying the integral transforms. Finally, we d
Externí odkaz:
https://doaj.org/article/c95f9680361f482b81393a6e24695579
A note on (p,q) $(p,q)$-Bernstein polynomials and their applications based on (p,q) $(p,q)$-calculus
Autor:
Erkan Agyuz, Mehmet Acikgoz
Publikováno v:
Journal of Inequalities and Applications, Vol 2018, Iss 1, Pp 1-12 (2018)
Abstract Nowadays (p,q) $(p,q)$-Bernstein polynomials have been studied in many different fields such as operator theory, CAGD, and number theory. In order to obtain the fundamental properties and results of Bernstein polynomials by using (p,q) $(p,q
Externí odkaz:
https://doaj.org/article/aa7c77ee595f4362a16ca78c37641891
Publikováno v:
Axioms, Vol 10, Iss 1, p 29 (2021)
In this paper, we consider Bell-based Stirling polynomials of the second kind and derive some useful relations and properties including some summation formulas related to the Bell polynomials and Stirling numbers of the second kind. Then, we introduc
Externí odkaz:
https://doaj.org/article/2300786ebe9748cf90d59b5eb88a39cf
Publikováno v:
Journal of Inequalities and Applications, Vol 2016, Iss 1, Pp 1-8 (2016)
Abstract Recently, Sofonea (Gen. Math. 16:47-54, 2008) considered some relations in the context of quantum calculus associated with the q-derivative operator D q $D_{q}$ and divided difference. As applications of the post-quantum calculus known as th
Externí odkaz:
https://doaj.org/article/8451562166724146ab02c3326e24d48b
Publikováno v:
Symmetry, Vol 12, Iss 10, p 1691 (2020)
Kim and Kim (Russ. J. Math. Phys. 26, 2019, 40-49) introduced polyexponential function as an inverse to the polylogarithm function and by this, constructed a new type poly-Bernoulli polynomials. Recently, by using the polyexponential function, a numb
Externí odkaz:
https://doaj.org/article/87456099051641dab87e8d599e61acc5
Autor:
Ugur Duran, Mehmet Acikgoz
Publikováno v:
Mathematics, Vol 8, Iss 1, p 144 (2020)
The main aim of this paper is to introduce the degenerate truncated forms of multifarious special polynomials and numbers and is to investigate their various properties and relationships by using the series manipulation method and diverse special pro
Externí odkaz:
https://doaj.org/article/95a295396aa746abb2ab7acba8b77692