Yazar "Sahin, Recep" seçeneğine göre listele

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    An Extension of Some Lauricella Hypergeometric Functions
    (Amer Inst Physics, 2013) Sahin, Recep
    In this paper, we present an extension of Lauricella hypergeometric functions, which is motivated by the extended Beta function.
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    Öğe
    Fractional Calculus of the Extended Hypergeometric Function
    (Walter De Gruyter Gmbh, 2020) Sahin, Recep; Yagci, Oguz
    Here, our aim is to demonstrate some formulae of generalization of the extended hypergeometric function by applying fractional derivative operators. Furthermore, by applying certain integral transforms on the resulting formulas and develop a new futher generalized form of the fractional kinetic equation involving the generalized Gauss hypergeometric function. Also, we obtain generating functions for generalization of extended hypergeometric function..
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    Further Generalizations Of Gamma, Beta And Related Functions
    (Univ Prishtines, 2018) Sahin, Recep; Yaggi, Oguz; Yagbasan, Baki; Kiymaz, I. Onur; Cetinkaya, Aysegul
    In this paper, we present further generalizations of gamma and beta functions by adding extra parameters to their integral representations. Then we introduce new generalizations of hypergeometric and confluent hypergeometric functions by using new beta function. We also obtain many interesting properties such as integral transforms, differentiation formulas, Mellin transforms, transformation formulas, differential and difference relations and a summation formula.
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    Generalized M-Series And Its Certain Properties
    (Univ Prishtines, 2019) Kiymaz, I. Onur; Cetinkaya, Aysegul; Sahin, Recep
    In this paper, we introduce a generalization of M-series by using the extended beta function. We also obtain its certain properties such as integral representations, derivative formulas, fractional integral and derivative formulas, Laplace, Mellin and Beta transforms.
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    Recursion Formulas For G(1) And G(2) Horn Hypergeometric Functions
    (Univ Miskolc Inst Math, 2015) Sahin, Recep; Agha, Susan Ridha Shakor
    The aim of this paper is to present various recursion formulas for Horn hypergeometric functions by the contiguous relations of hypergeometric series. These recursion formulas allow us to state the functions G(1) and G(2) Horn hypergeometric functions as a combination of themselves.