ORCID "0000-0001-6603-2652" Fakülteler için listeleme
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On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Academic Press Inc Elsevier Science, 2013)The purpose of this paper is to derive some applications of umbral calculus by using extended fermionic p-adic q-integral on Z(p). From those applications, we derive some new interesting properties on the new family of ... -
On the von Staudt-Clausen's theorem associated with q-Genocchi numbers
Araci, Serkan; Açıkgöz, Mehmet; Şen, Erdoğan (Elsevier Science Inc, 2014)Recently, the von Staudt-Clausen's theorem for q-Euler numbers was introduced by Kim (2013) and q-Genocchi numbers were constructed by Araci et al. (2013). In this paper, we give the corresponding von Staudt-Clausen's ... -
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity
Şen, Erdoğan (Wiley, 2017)In this study, first, a formula for regularized sums of eigenvalues of a Sturm-Liouville problem with retarded argument at 2 points of discontinuity which contains a spectral parameter in the boundary conditions is obtained. ... -
A regularized trace formula for a discontinuous sturm-liouville operator with delayed argument
Bayramoğlu, Mehmet; Bayramov, Azad; Şen, Erdoğan (Texas State Univ, 2017)In this study, we obtain a formula for the regularized sums of eigenvalues for a Sturm-Liouville problem with delayed argument at two points of discontinuity. -
Spectral Analysis of Boundary Value Problems with Retarded Argument
Şen, Erdoğan; Bayramov, Azad (Ankara Univ, Fac Sci, 2017)In this paper, by modifying some techniques of [S.B. Norkin, Differential equations of the second order with retarded argument, Translations of Mathematical Monographs, Vol. 31, AMS, Providence, RI, 1972] and suggesting ... -
Spectral Analysis of Discontinuous Boundary-Value Problems with Retarded Argument
Şen, Erdoğan (B Verkin Inst Low Temperature Physics & Engineering, 2018)In the paper, we are concerned with spectral properties of discontinuous Sturm-Liouville type problems with retarded argument. We extend and generalize some approaches and results of the classical regular and discontinuous ... -
Spectral Problem for the Sturm-Liouville Operator with Retarded Argument Containing a Spectral Parameter in the Boundary Condition
Şen, Erdoğan; Açıkgöz, Mehmet; Aracı, Serkan (Springer, 2017)We consider a discontinuous Sturm-Liouville problem with retarded argument containing a spectral parameter in the boundary condition. First, we investigate the simplicity of eigenvalues and then prove the existence theorem. ... -
Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions
Şen, Erdoğan; Mukhtarov, O. (Springer Basel Ag, 2016)In this paper we investigate discontinuous two-point boundary value problems with eigenparameter in the boundary conditions and with transmission conditions at the finitely many points of discontinuity. A self-adjoint ... -
Sturm-Liouville Problems with Retarded Argument and A Finite Number of Transmission Conditions
Şen, Erdoğan (Texas State Univ, 2017)The main goal of the present paper is to study the asymptotic behaviour of eigenvalues and eigenfunctions of a discontinuous boundary-value problem with retarded argument with a finite number of transmission conditions. -
Theorems on Genocchi Polynomials of Higher Order Arising From Genocchi Basis
Araci, Serkan; Şen, Erdoğan; Açıkgöz, Mehmet (Mathematical Soc Rep China, 2014)Recently, Kim et al. [8] constructed a new method to obtain interesting identities related to Euler polynomials of higher order arising from Euler basis. In the present paper, we study to Genocchi polynomials of higher ...