Some integral properties of a general class of polynomials associated with Feynman integrals.
Chaurasia, V.B.L., Shekhawat, Ashok Singh (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Chaurasia, V.B.L., Shekhawat, Ashok Singh (2005)
Bulletin of the Malaysian Mathematical Sciences Society. Second Series
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Zhang, Zhizheng, Hu, Qiuxia (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Ben Hammouda, M.S., Nemri, Akram (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Class.: 33C10,33D60,26D15,33D05,33D15,33D90 In this paper we give the q-analogue of the higher-order Bessel operators studied by I. Dimovski [3],[4], I. Dimovski and V. Kiryakova [5],[6], M. I. Klyuchantsev [17], V. Kiryakova [15], [16], A. Fitouhi, N. H. Mahmoud and S. A. Ould Ahmed Mahmoud [8], and recently by many other authors. Our objective is twofold. First, using the q-Jackson integral and the q-derivative, we aim at establishing some properties...
Virchenko, Nina (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 26A33, 33C20 This paper is devoted to further development of important case of Wright’s hypergeometric function and its applications to the generalization of Γ-, B-, ψ-, ζ-, Volterra functions.
Nakazono, Nobutaka (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Purohit, S., Kalla, S. (2007)
Fractional Calculus and Applied Analysis
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Mathematics Subject Classification: 33D15, 44A10, 44A20 The present paper deals with the evaluation of the q-Laplace transforms of a product of basic analogues of the Bessel functions. As applications, several useful special cases have been deduced.
Kilbas, Anatoly, Saxena, R. K., Trujillo, Juan (2006)
Fractional Calculus and Applied Analysis
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2000 Mathematics Subject Classification: 33C60, 33C20, 44A15 The paper is devoted to the study of the function Zνρ(x) defined for positive x > 0, real ρ ∈ R and complex ν ∈ C, being such that Re(ν) < 0 for ρ ≤ 0, [...] Such a function was earlier investigated for ρ > 0. Using the Mellin transform of Zνρ(x), we establish its representations in terms of the H-function and extend this function from positive x > 0 to complex z. The results obtained, being different...
Ito, Masahiko (2009)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Hassan, G.F. (2006)
Acta Mathematica Academiae Paedagogicae Nyí regyháziensis. New Series [electronic only]
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Murugusundaramoorthy, G. (2009)
Acta Mathematica Universitatis Comenianae. New Series
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Grünbaum, F.Alberto, Rahman, Mizan (2010)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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Krattenthaler, C. (1993)
Séminaire Lotharingien de Combinatoire [electronic only]
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