The phase dimension of a generalization of the Bessel equation has been also computed.doi:10.1016/j.amc.2016.02.025Korkut, L.Vlah, D.?upanovi?, V.Elsevier Inc.Applied Mathematics & ComputationL. Korkut, D. Vlah and V. Zˇupanovi´c, Fractal properties of Bessel functions, Appl. Math...
Γ(ν+n+1)(z/2)2n+ν,z∈C.(1.2)Thedifferentialequation(1.1)permitsthestudyofBesselandmodifiedBesselfunctionsalltogether.Itisworthmentioningthat,inparticular,whenc=1,weobtaintheBesselfunctionJν,1=Jν,andforc=−1,thefunctionJν,−1becomesthemodifiedBesselfunctionIν.WeconsiderthefunctionKν,c...
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The zeros of basic Bessel functions, the functions Jv + ax(x), and associated orthogonal polynomials1 The modified Lommel polynomials are generalized and their orthogonality relation is obtained. As a byproduct we prove that the non-zero roots of J v + ax( x) are real, simple and ...
Close-to-convex functionsIn this paper, the products of modied Bessel functions of the rst kind are considered. Our main aim is to provide various conditions so that these products have certain geometric properties such as starlikeness, convexity, and close to convexity (univalency) with respect...
functionshandbookdlmfsitewebspecial 系统标签: functionshandbookdlmfsitewebspecial ANewHandbookandWebSiteofPropertiesofSpecialFunctionsDanLozierNISTIMAWorkshopSpecialFunctionsintheDigitalAgeJuly22,2002ImpactofNBSHandbook•Sales–Governmentedition>150,000–Commercialeditions~500,000•Citations(SCI)–approaching1500/yr...
J. Trujillo, Theory and Applications of Fractional Differential Equations, Elsevier, Amsterdam, The Netherlands, 2006. Search in Google Scholar [7] Abdon Atangana and Aydin Secer, “A Note on Fractional Order Derivatives and Table of Fractional Derivatives of Some Special Functions,” Abstract and ...
内容提示: The ref l ectionless properties of Toeplitz wavesand Hankel waves: an analysis via BesselfunctionsKevin Burrage 1,2 , Pamela Burrage 1 , and Shev MacNamara 31 ARC Centre of Excellence for Mathematical and StatisticalFrontiers, and Mathematical Sciences School,Queensland University of ...
On the resurgence properties of the uniform asymptotic expansion of Bessel functions of large order 喜欢 0 阅读量: 15 作者:C. J. Howls,A. B. O. Daalhuis 摘要: Structural features of several species based on Sb_3 as a nuclear unit are investigated by ab initio analysis. In particular, ...
In this paper, a new distribution is introduced by taking the product of the probability density functions of Bessel distribution of first kind and gamma distribution. Some distributional properties and a characterization of the proposed product distribution are provided. The percentile points for some ...