On some integrals over the product of three Legendre functions
نویسندگان
چکیده
منابع مشابه
Some Integrals Involving Bessel Functions Some Integrals Involving Bessel Functions
A number of new definite integrals involving Bessel functions are presented. These have been derived by finding new integral representations for the product of two Bessel functions of different order and argument in terms of the generalized hypergeometric function with subsequent reduction to special cases. Connection is made with Weber's second exponential integral and Laplace transforms of pr...
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für Naturforschung in cooperation with the Max Planck Society for the Advancement of Science under a Creative Commons Attribution 4.0 International License. Dieses Werk wurde im Jahr 2013 vom Verlag Zeitschrift für Naturforschung in Zusammenarbeit mit der Max-Planck-Gesellschaft zur Förderung der Wissenschaften e.V. digitalisiert und unter folgender Lizenz veröffentlicht: Creative Commons Namen...
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In Ref. [ 1 ] we have obtained in three different ways the components of the vector magnetic potential (VMP) for the toroidal solenoid. As they satisfy the same equations and the same boundary conditions, they should coincide everywhere (see, e.g., [2]). By comparing these components one can derive simple closed analytical expressions for some integrals and sums involving Legendre functions. Th...
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چکیده ندارد.
15 صفحه اولParabolic Marcinkiewicz integrals on product spaces
In this paper, we study the $L^p$ ($1
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ژورنال
عنوان ژورنال: The Ramanujan Journal
سال: 2013
ISSN: 1382-4090,1572-9303
DOI: 10.1007/s11139-013-9504-0