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Toplam kayıt 40, listelenen: 21-30
Identities involving some new special polynomials arising from the applications of fractional calculus
(Natural Sciences Publishing Co., 2015)
Inspired by a number of recent investigations, we introduce the new analogues of the Apostol-Bernoulli polynomials and the Apostol-Euler polynomials, the Apostol-Genocchi polynomials based on Mittag-Leffler function. Making ...
The regularized trace formula for a differential operator with unbounded operator coefficient
(Jangjeon Mathematical Society, 2015)
In this paper, firstly we investigated the spectrum and resolvent operator of a Sturm-Liouville type differential operator. Finally we have obtained the regularized trace formula for differential operator equation with ...
On spectral properties of a fourth-order boundary value problem
(Elsevier Science Bv, 2013)
In this work, we study a fourthorder boundary value problem with eigenparameter dependent boundary conditions and transmission conditions at a interior point. A self-adjoint linear operator A is defined in a suitable Hilbert ...
Asymptotic Behaviour of Eigenvalues and Eigenfunctions of a Sturm-Liouville Problem with Retarded Argument
(Hindawi Ltd, 2013)
In the present paper, a discontinuous boundary-value problem with retarded argument at the two points of discontinuities is investigated. We obtained asymptotic formulas for the eigenvalues and eigenfunctions. This is the ...
On the extended Kim's p-adic q-deformed fermionic integrals in the p-adic integer ring
(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 a Sturm-Liouville type problem with retarded argument
(Wiley, 2013)
In this work, a SturmLiouville-type problem with retarded argument, which contains spectral parameter in the boundary conditions and with transmission conditions at the point of discontinuity are investigated. We obtained ...
Theorems on Apostol-Euler polynomials of higher order arising from Euler basis
(2013)
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 ...
Spectral Properties of Discontinuous Sturm-Liouville Problems with a Finite Number of Transmission Conditions
(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 ...
A regularized trace formula and oscillation of eigenfunctions of a Sturm-Liouville operator with retarded argument at 2 points of discontinuity
(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
(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.