The finite continuous nonsymmetric Jacobi transform and applications
نویسندگان
چکیده
منابع مشابه
Extended Jacobi and Laguerre Functions and their Applications
The aim of this paper is to introduce two new extensions of the Jacobi and Laguerre polynomials as the eigenfunctions of two non-classical Sturm-Liouville problems. We prove some important properties of these operators such as: These sets of functions are orthogonal with respect to a positive de nite inner product de ned over the compact intervals [-1, 1] and [0,1), respectively and also th...
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The asymptotic convergence behavior of cyclic versions of the nonsymmetric Jacobi algorithm for the computation of the Schur form of a general complex matrix is investigated. Similar to the symmetric case, the nonsymmetric Jacobi algorithm proceeds by applying a sequence of rotations that annihilate a pivot element in the strict lower triangular part of the matrix until convergence to the Schur...
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For the analysis of composite media, three different compatible and mixed finite element formulations are presented which apriori enforce the continuity of stresses as well as displacements at the element interfaces. The formulations are applied for the analysis of hi-material interfaces in two problems often encountered in the field of orthopaedic biomechanics, that is the fixation analysis in...
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بسیاری از پدیده ها در جهان ما اساساً غیرخطی هستند، و توسط معادلات غیرخطی بیان شده اند. از آنجا که ظهور کامپیوترهای رقمی با عملکرد بالا، حل مسایل خطی را آسان تر می کند. با این حال، به طور کلی به دست آوردن جوابهای دقیق از مسایل غیرخطی دشوار است. روش عددی، به طور کلی محاسبه پیچیده مسایل غیرخطی را اداره می کند. با این حال، دادن نقاط به یک منحنی و به دست آوردن منحنی کامل که اغلب پرهزینه و ...
15 صفحه اولON THE SINGULARITIES OF THE CONTINUOUS JACOBI TRANSFORM WHEN a + ß = 0
Let a,ß > -1 and Pla'3)(x) = (l-x)a(l+x)ßp[a'a){x), where Pjf (x) is the Jacobi function of the first kind, A > —(a + ß + l)/2, and -1 < i < 1. Let r the integral exists. It is known that for a + •>-Ä4r'<",')(*-i),£Ä<-> *J o whenever ß = 0, we have /(*) = lim 4 f fC« (x l) PÍÍ$A-*)\ . . r2(A + i/2) X sin 7rA^-:-L_¡-d\ w in J, r(A-ra + l/2)F(A + ^ + l/2) almost everywhere in [—1,1], In this pape...
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ژورنال
عنوان ژورنال: Advances in Difference Equations
سال: 2012
ISSN: 1687-1847
DOI: 10.1186/1687-1847-2012-55