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(17)
A Course of Modern Analysis
Special Functions and their Applications
Group theory and its applications in physics
On the relationship between radiance and irradiance: determining the illumination from images of a convex Lambertian object
A signalprocessing framework for inverse rendering
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The Theory of Spherical and Ellipsoidal Harmonics
The Theory of Spherical and Ellipsoidal Harmonics,E. W. Hobson
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The Theory of Spherical and Ellipsoidal Harmonics
(
Citations: 392
)
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E. W. Hobson
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(163)
...gif"/> are related by the equation
2
4
7
: The associated Legendre function of the first kind may be expressed as follows
2
7
: where
Sebastian Bielski
.
Orthogonality relations for the associated Legendre functions of imagi...
...gif"/> satisfies
5
...
José A. López Ortí
,
et al.
A note on the firstorder theories of equilibrium figures of celestial...
...Their definition can be found in
28
...
Nahid Akhtar
,
et al.
Reproducingkernelbased splines for the regularization of the inverse...
...Y are the surface spherical functions (e.g.,
Hobson, 1931
)...
Robert Tenzer
,
et al.
Farzone gravity field contributions corrected for the effect of topog...
...To check whether it is valid on the sphere, we compute the coefficients bn in (2) through the following sine expansion of the Legendre polynomials (
Hobson 1931, p. 20;
also 8.826.1 in Gradshteyn and Ryzhik 1994):...
Chunfeng Huang
,
et al.
On the Validity of Commonly Used Covariance and Variogram Functions on...
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Citations
(392)
Orthogonality relations for the associated Legendre functions of imaginary order
Sebastian Bielski
Journal:
Integral Transforms and Special Functions  INTEGRAL TRANSFORM SPEC FUNCT
, vol. aheadofp, no. aheadofp, pp. 17, 2012
A note on the firstorder theories of equilibrium figures of celestial bodies
(
Citations: 1
)
José A. López Ortí
,
Manuel Forner Gumbau
,
Miguel Barreda Rochera
Journal:
International Journal of Computer Mathematics  IJCM
, vol. 88, no. 9, pp. 19691978, 2011
A theoretical study of inducedcharge dipolophoresis of ideally polarizable asymmetrically slipping Janus particles
Alicia M. Boymelgreen
,
Touvia Miloh
Journal:
Physics of Fluids  PHYS FLUIDS
, vol. 23, 2011
Reproducingkernelbased splines for the regularization of the inverse ellipsoidal gravimetric problem
Nahid Akhtar
,
Volker Michel
Journal:
Applicable Analysis
, vol. aheadofp, no. aheadofp, pp. 128, 2011
Farzone gravity field contributions corrected for the effect of topography by means of molodensky’s truncation coefficients
Robert Tenzer
,
Pavel Novák
,
Peter Vajda
,
Artu Ellmann
,
Ahmed Abdalla
Journal:
Studia Geophysica Et Geodaetica  STUD GEOPHYS GEOD
, vol. 55, no. 1, pp. 5571, 2011