Addition Theorems

One-range Addition Theorems for Noninteger n Slater Functions using Complete Orthonormal Sets of Exponential Type Orbitals in Standard Convention

Few-Body Systems ◽

10.1007/s00601-012-0499-7 ◽

2012 ◽

Vol 54 (11) ◽

pp. 1773-1780 ◽

Cited By ~ 12

Author(s):

I. I. Guseinov

Keyword(s):

Exponential Type ◽

Addition Theorems ◽

Exponential Type Orbitals

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Addition theorems for $${\mathcal {C}}^k$$ real functions and applications in ordinary differential equations

Aequationes Mathematicae ◽

10.1007/s00010-021-00822-w ◽

2021 ◽

Author(s):

Francisco Crespo ◽

Salomón Rebollo-Perdomo ◽

Jorge L. Zapata

Keyword(s):

Differential Equations ◽

Ordinary Differential Equations ◽

Addition Theorems ◽

Real Functions

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Addition theorems for solid harmonics and the second Born amplitudes

Journal of Physics B Atomic Molecular and Optical Physics ◽

10.1088/0953-4075/28/24/003 ◽

1995 ◽

Vol 28 (24) ◽

pp. L769-L774 ◽

Cited By ~ 16

Author(s):

S Chakrabarti ◽

D P Dewangan

Keyword(s):

Addition Theorems

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The index of an equivariant vector field and addition theorems for Pontryagin classes

Izvestiya Mathematics ◽

10.1070/im2000v064n02abeh000282 ◽

2000 ◽

Vol 64 (2) ◽

pp. 223-247

Author(s):

V M Bukhshtaber ◽

K E Feldman

Keyword(s):

Vector Field ◽

Addition Theorems ◽

Equivariant Vector Field

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Algebraic addition theorems

Advances in Mathematics ◽

10.1016/0001-8708(74)90063-2 ◽

1974 ◽

Vol 13 (1) ◽

pp. 20-30

Author(s):

Stephen A Andrea

Keyword(s):

Addition Theorems

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Journal of the London Mathematical Society ◽

10.1112/jlms/s1-42.1.369b ◽

1967 ◽

Vol s1-42 (1) ◽

pp. 369-370

Author(s):

H. Halberstam

Keyword(s):

Addition Theorems

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Derivatives of addition theorems for Legendre functions

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000007670 ◽

1995 ◽

Vol 37 (2) ◽

pp. 212-234 ◽

Cited By ~ 15

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.

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