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THEOREMS ON APOSTOL-EULER POLYNOMIALS OF HIGHER ORDER ARISING FROM EULER BASIS
Erdogan Sen 장전수학회 2013 Advanced Studies in Contemporary Mathematics Vol.23 No.2
Recently, Kim et al have introduced an useful method to get interesting identities related to Bernoulli and Euler polynomials arising from Euler polynomials of higher order (see [16]). Araci et al [7] also obtained many interesting equalities related to Genocchi polynomials of higher order arising from Genocchi basis. In this paper, we consider Apostol-Euler polyno-mials of higher order arising from Euler basis by using the method of Kim et al. We also try to derive a numerous of interesting properties related to special functions.
Computation of eigenvalues and fundamental solutions of a fourth-order boundary value problem
Erdogan Sen,Serkan Araci 장전수학회 2012 Proceedings of the Jangjeon mathematical society Vol.15 No.4
In this work, we study a fourth-order boundary value prob-lem problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear opera-tor A is de ned in a suitable Hilbert space H such that the eigenvalues of such a problem coincide with those of A. We discuss asymptotic behavior of its eigenvalues and fundamental solutions.
DISCONTINUOUS TWO-POINT BOUNDARY VALUE PROBLEMS WITH EIGENPARAMETER IN THE BOUNDARY CONDITIONS
MEHMET ACIKGOZ,Serkan Araci,KAMIL ORUCOGLU,Erdogan Sen 장전수학회 2013 Proceedings of the Jangjeon mathematical society Vol.16 No.2
In the present paper, we deal with discontinuous two-pointboundary value problems with eigenparameter in the boundary condi-tions with transmission conditions at the three points of discontinuities. We obtain asymptotic formulae for the eigenvalues and then we nd thecorresponding eigenfunctions for these eigenvalues.
Sarica, Feyzi Birol,Tufan, Kadir,Sen, Orhan,Erdogan, Bulent The Korean Neurosurgical Society 2009 Journal of Korean neurosurgical society Vol.45 No.1
We report a supratentorial primitive neuroectodermal tumor (sPNET) in 17-year-old primipara in the second trimester her pregnancy. Magnetic resonance imaging revealed a left frontoparietal mass with solid and cystic component. Gross-total resection was achieved via a left frontoparietal craniotomy. It was decided to suspend the radiotherapy and chemotherapy until the 30 weeks of gestation. But, a sudden uncal herniation was developed due to the reccurrence of the tumor and bleeding into the tumor at the 25 weeks of gestation and the patient died after urgent decompressive surgery. sPNETs is an extremely rare brain tumor in pregnancy and only two cases were reported in the literature to date. There is no universally agreed treatment protocol for sPNETs during pregnancy and a multidisciplinary approach is required in treatment. In the present study, the clinical, histopathological features and therapeutical difficulties of sPNETs diagnosed during pregnancy was discussed with the literature review.