Results 11 to 20 of about 12,121,362 (308)
Legendre functions of fractional degree: transformations and evaluations [PDF]
Proceedings of the Royal Society A, 2016 Associated Legendre functions of fractional degree appear in the solution of boundary value problems on wedges or in toroidal geometries, and elsewhere in applied mathematics.
Robert S. Maier
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Associated Legendre Functions and Spherical Harmonics of Fractional Degree and Order [PDF]
, 2017 Trigonometric formulas are derived for certain families of associated Legendre functions of fractional degree and order, for use in approximation theory.
Robert S. Maier
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SCHUMANN RESONANCE IN THE MODEL OF THUNDERSTORM ACTIVITY, UNIFORMLY DISTRIBUTED OVER THE GLOBE [PDF]
Радиофизика и электроника, 2015 The interest in the phenomenon of Schumann resonances arises from the fact that it is one of the few tools that can help you learn the properties of the lower ionosphere, the measurement of which by direct methods is extremely difficult (the satellites ...
Y. P. Galyuk
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Modeling of Ionospheric Delay for SBAS Using Spherical Harmonics Functions [PDF]
TransNav, 2013 In SBAS (satellite-based augmentation system), it is important to estimate ionospheric delay accurately to guarantee user's accuracy and integrity. Grid based ionospheric models are generally used to estimate ionospheric delay for SBAS.
Deokhwa Han, Ho Yun, Changdon Kee
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Problems and methods of calculating the Legendre functions of arbitrary degree and order
Geodesy and Cartography, 2016 The known standard recursion methods of computing the full normalized associated Legendre functions do not give the necessary precision due to application of IEEE754-2008 standard, that creates a problems of underflow and overflow.
Novikova Elena, Dmitrenko Alexander
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The Legendre Symbol and the Modulo-2 Operator in Symmetric Schemes over Fnp
IACR Transactions on Symmetric Cryptology, 2022 Motivated by modern cryptographic use cases such as multi-party computation (MPC), homomorphic encryption (HE), and zero-knowledge (ZK) protocols, several symmetric schemes that are efficient in these scenarios have recently been proposed in the ...
Lorenzo Grassi +3 more
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On evaluation of indefinite integrals containing products of associated Legendre functions
Journal of Physics, Conference Series, 2019 Indefinite integrals arising in the projection methods applied for analysis of wave scattering by penetrable bodies of revolution in spherical coordinates are considered. Explicit expressions for the integrals of products of associated Legendre functions
E. I. Semernya, S. Skobelev
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International Journal of Mathematics and Mathematical Sciences, 1985 The Legendre numbers, an infinite set of rational numbers are defined from the associated Legendre functions and several elementary properties are presented. A general formula for the Legendre numbers is given. Applications include summing certain series
Paul W. Haggard
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Integrals of Lipschitz–Hankel type, Legendre functions and table errata [PDF]
, 2015 The complete Lipschitz–Hankel integrals (LHIs) include the Laplace transforms of the Bessel functions, multiplied by powers. Such Laplace transforms can be evaluated using associated Legendre functions.
Robert S. Maier
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On Legendre numbers of the second kind
International Journal of Mathematics and Mathematical Sciences, 1988 The Legendre numbers of the second kind, an infinite set of rational numbers, are defined from the associated Legendre functions. An explicit formula and a partial table for these numbers are given and many elementary properties are presented.
Paul W. Haggard
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