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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.
Acikgoz, Hakan,Coteli, Resul,Ustundag, Mehmet,Dandil, Besir The Korean Institute of Electrical Engineers 2018 Journal of Electrical Engineering & Technology Vol.13 No.2
AC-DC conversion is a necessary for the systems that require DC source. This conversion has been done via rectifiers based on controlled or uncontrolled semiconductor switches. Advances in the power electronics and microprocessor technologies allowed the use of Pulse Width Modulation (PWM) rectifiers. In this paper, dq-axis current and DC link voltage of three-phase PWM rectifier are controlled by using type-2 fuzzy neural network (T2FNN) controller. For this aim, a simulation model is built by MATLAB/Simulink software. The model is tested under three different operating conditions. The parameters of T2FNN is updated online by using back-propagation algorithm. The results obtained from both T2FNN and Proportional + Integral + Derivate (PID) controller are given for three operating conditions. The results show that three-phase PWM rectifier using T2FNN provides a superior performance under all operating conditions when compared with PID controller.
Hakan Acikgoz,Resul Coteli,Mehmet Ustundag,Besir Dandil 대한전기학회 2018 Journal of Electrical Engineering & Technology Vol.13 No.2
AC-DC conversion is a necessary for the systems that require DC source. This conversion has been done via rectifiers based on controlled or uncontrolled semiconductor switches. Advances in the power electronics and microprocessor technologies allowed the use of Pulse Width Modulation (PWM) rectifiers. In this paper, dq-axis current and DC link voltage of three-phase PWM rectifier are controlled by using type-2 fuzzy neural network (T2FNN) controller. For this aim, a simulation model is built by MATLAB/Simulink software. The model is tested under three different operating conditions. The parameters of T2FNN is updated online by using back-propagation algorithm. The results obtained from both T2FNN and Proportional + Integral + Derivate (PID) controller are given for three operating conditions. The results show that three-phase PWM rectifier using T2FNN provides a superior performance under all operating conditions when compared with PID controller.
A Note on The Weighted Q-Genocchi Numbers and Polynomials With Their Interpolation Function
( Serkan Araci ),( Mehmet Acikgoz ),( Jong Jin Seo ) 호남수학회 2012 호남수학학술지 Vol.34 No.1
Recently, T. Kim has introduced and analysed the q-Bernoulli numbers and polynomials with weight α cf.[7]: By the same motivaton, we also give some interesting properties of the q-Genocchi numbers and polynomials with weight α Also, we derive the q-extensions of zeta type functions with weight α from the Mellin transformation of this generating function which interpolates the q-Genocchi polynomials with weight α at negative integers.
ANALYTIC CONTINUATION OF WEIGHTED q-GENOCCHI NUMBERS AND POLYNOMIALS
Araci, Serkan,Acikgoz, Mehmet,Gursul, Aynur Korean Mathematical Society 2013 대한수학회논문집 Vol.28 No.3
In the present paper, we analyse analytic continuation of weighted $q$-Genocchi numbers and polynomials. A novel formula for weighted $q$-Genocchi-zeta function $\tilde{\zeta}_{G,q}(s{\mid}{\alpha})$ in terms of nested series of $\tilde{\zeta}_{G,q}(n{\mid}{\alpha})$ is derived. Moreover, we introduce a novel concept of dynamics of the zeros of analytically continued weighted $q$-Genocchi polynomials.
Araci, Serkan,Acikgoz, Mehmet,Park, Kyoung Ho Korean Mathematical Society 2013 대한수학회보 Vol.50 No.2
In this paper, we introduce the $q$-analogue of $p$-adic log gamma functions with weight alpha. Moreover, we give a relationship between weighted $p$-adic $q$-log gamma functions and $q$-extension of Genocchi and Euler numbers with weight alpha.
HERMITE BASED POLY-BERNOULLI POLYNOMIALS WITH A q-PARAMETER
UGUR DURAN,MEHMET ACIKGOZ,SERKAN ARACI 장전수학회 2018 Advanced Studies in Contemporary Mathematics Vol.28 No.2
We introduce the Hermite based poly-Bernoulli polynomi- als with a q parameter and give some of their basic properties including not only addition property, but also derivative properties and integral representations. We also define the Hermite based λ-Stirling polynomi- als of the second kind, and then provide some relations. Moreover, we derive several correlations and identities including the Hermite-Kampe de Feriet (or Gould-Hopper) family of polynomials, the Hermite based poly-Bernoulli polynomials with a q parameter and the Hermite based λ-Stirling polynomials of the second kind.
Serkan Araci,Mehmet Acikgoz,Kyoung Ho Park 대한수학회 2013 대한수학회보 Vol.50 No.2
In this paper, we introduce the q-analogue of p-adic log gamma functions with weight alpha. Moreover, we give a relationship be- tween weighted p-adic q-log gamma functions and q-extension of Genocchi and Euler numbers with weight alpha.
A New Family of q-analogue of Genocchi Numbers and Polynomials of Higher Order
Araci, Serkan,Acikgoz, Mehmet,Seo, Jong Jin Department of Mathematics 2014 Kyungpook mathematical journal Vol.54 No.1
In the present paper, we introduce the new generalization of q-Genocchi polynomials and numbers of higher order. Also, we give some interesting identities. Finally, by applying q-Mellin transformation to the generating function for q-Genocchi polynomials of higher order put we define novel q-Hurwitz-Zeta type function which is an interpolation for this polynomials at negative integers.
Araci, Serkan,Acikgoz, Mehmet The Korean Society for Computational and Applied M 2013 Journal of applied mathematics & informatics Vol.31 No.3
The essential aim of this paper is to define weighted $q$-Hardylittlewood-type maximal operator by means of $p$-adic $q$-invariant distribution on $\mathbb{Z}_p$. Moreover, we give some interesting properties concerning this type maximal operator.