Zobrazeno 1 - 10
of 34
pro vyhledávání: '"Esra ErkuŞ-Duman"'
Autor:
Esra Erkuş-Duman, Hakan Ciftci
Publikováno v:
Mathematica Slovaca. 72:885-898
The aim of this paper is to introduce a new two-variable polynomials defined via Hermite polynomials. In order to construct some fundamental properties of these polynomials, we first derive a generating function relation. By using definition and this
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::1e791eb9387efd13da809bbbfb2987da
https://doi.org/10.1515/ms-2022-0060
https://doi.org/10.1515/ms-2022-0060
Autor:
Esra ErkuŞ-Duman, Junesang Choi
Publikováno v:
Mathematics, Vol 9, Iss 13, p 1499 (2021)
Since Gottlieb introduced and investigated the so-called Gottlieb polynomials in 1938, which are discrete orthogonal polynomials, many researchers have investigated these polynomials from diverse angles. In this paper, we aimed to investigate the q-e
Externí odkaz:
https://doaj.org/article/cde7b89e5bbc42f088a2c2395a08a1cb
Autor:
Esra Erkuş-Duman, Hakan Ciftci
Publikováno v:
Bulletin of the Malaysian Mathematical Sciences Society. 43:1111-1125
The purpose of this paper is to introduce some new polynomials obtained from second- and third-order algebraic equations by using a simple iterative method. One-variable polynomials obtained in this study deal with special form of Poschl-Teller poten
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a16fb5091a9b5a9ebfd7edaadc373309
https://doi.org/10.1007/s40840-019-00725-9
https://doi.org/10.1007/s40840-019-00725-9
Autor:
Rabia Aktaş, Esra Erkuş-Duman
Publikováno v:
The Scientific World Journal, Vol 2013 (2013)
This paper attempts to present a multivariable extension of generalized Humbert polynomials. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties, and also some special case
Externí odkaz:
https://doaj.org/article/47bc9d3d271f48448c61ac41a604b78e
Autor:
Bayram Çekim, Esra Erkuş-Duman
Publikováno v:
Abstract and Applied Analysis, Vol 2013 (2013)
By means of the Riemann-Liouville fractional calculus, extended Jacobi functions are de
fined and some of their properties are obtained. Then, we compare some properties of the extended Jacobi functions extended Jacobi polynomials. Also, we derive f
Externí odkaz:
https://doaj.org/article/d1e516f7339242ae877882ccb9801b7c
Autor:
Esra Erkuş-Duman
Publikováno v:
Miskolc Mathematical Notes. 19:835-845
The present study deals with some new properties for the Gottlieb polynomials in one and several variables. The results obtained here include various families of multilinear and multilateral generating functions, miscellaneous properties and also som
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cddc82856cdc9eb2d5d1832193bbb665
https://doi.org/10.18514/mmn.2018.2188
https://doi.org/10.18514/mmn.2018.2188
Publikováno v:
Trends in Mathematics ISBN: 9783030044589
In this chapter, we define an extension of multivariable hypergeometric functions. We obtain a generating function for these functions. Furthermore, we derive a family of multilinear and multilateral generating functions for these extended multivaria
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::af801db07a83ba8cbfdc170418881499
https://doi.org/10.1007/978-3-030-04459-6_2
https://doi.org/10.1007/978-3-030-04459-6_2
Autor:
Nejla Özmen, Esra Erkuş-Duman
Publikováno v:
Trends in Mathematics ISBN: 9783030044589
In this study, we give some new properties for the generalized Sylvester polynomials. The results obtained here include various families of multilinear and multilateral generating functions and miscellaneous properties. In addition, we derive a theor
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::b2316ab3aeebd6e3d0f5c05e9b9393e5
https://avesis.gazi.edu.tr/publication/details/0808623c-a290-4cca-986a-8ab8974dcc5c/oai
https://avesis.gazi.edu.tr/publication/details/0808623c-a290-4cca-986a-8ab8974dcc5c/oai
Autor:
Oktay Duman, Esra Erkuş-Duman
Publikováno v:
Studia Scientiarum Mathematicarum Hungarica. 48:489-508
In this paper, using the notion of A-statistical convergence from the summability theory, we obtain a Korovkin-type theorem for the approximation by means of matrixvalued linear positive operators. We show that our theorem is more applicable than the
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::83bf78e8bc38e930a8be410d6ab03cbb
https://doi.org/10.1556/sscmath.2011.1179
https://doi.org/10.1556/sscmath.2011.1179
Autor:
Oktay Duman, Esra Erkuş-Duman
Publikováno v:
Applied Mathematics and Computation. 218:1927-1933
In this paper, by including high order derivatives of functions being approximated, we introduce a general family of the linear positive operators constructed by means of the Chan-Chyan-Srivastava multivariable polynomials and study a Korovkin-type a
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::61ca5f558d402f6e8b2793d90047696a
https://doi.org/10.1016/j.amc.2011.07.004
https://doi.org/10.1016/j.amc.2011.07.004