Addition theorems for spherical polynomials on a family of quantum spheres

1999 ◽  
pp. 145-170
Author(s):  
Paul Floris
Keyword(s):  
Addition Theorems ◽  
Spherical Polynomials ◽  
Quantum Spheres

scholarly journals Algebraic addition theorems

1974 ◽  
Vol 13 (1) ◽  
pp. 20-30
Author(s):  
Stephen A Andrea
Keyword(s):  
Addition Theorems

ADDITION THEOREMS

1967 ◽  
Vol s1-42 (1) ◽  
pp. 369-370
Author(s):  
H. Halberstam
Keyword(s):  
Addition Theorems

scholarly journals Derivatives of addition theorems for Legendre functions

1995 ◽  
Vol 37 (2) ◽  
pp. 212-234 ◽  
Author(s):  
D.E. Winch ◽  
P.H. Roberts
Keyword(s):  
Spherical Harmonics ◽  
Chebyshev Polynomials ◽  
Legendre Polynomials ◽  
Addition Theorem ◽  
Legendre Functions ◽  
Addition Theorems ◽  
Associated Legendre Functions ◽  
Tensor Spherical Harmonics ◽  
Derivatives Of

AbstractDifferentiation of the well-known addition theorem for Legendre polynomials produces results for sums over order m of products of various derivatives of associated Legendre functions. The same method is applied to the corresponding addition theorems for vector and tensor spherical harmonics. Results are also given for Chebyshev polynomials of the second kind, corresponding to ‘spin-weighted’ associated Legendre functions, as used in studies of distributions of rotations.

Standard Quantum Spheres

2004 ◽  
pp. 393-399
Author(s):  
Francesco Bonechi ◽  
Nicola Ciccoli ◽  
Marco Tarlini
Keyword(s):  
Standard Quantum ◽  
Quantum Spheres
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