Mehler–Fock transform
Encyclopedia
In mathematics, the Mehler–Fock transform is an integral transform introduced by and rediscovered by .

It is given by

where P is a Legendre function
Legendre function
In mathematics, the Legendre functions Pλ, Qλ and associated Legendre functions P, Q are generalizations of Legendre polynomials to non-integer degree.-Differential equation:...

of the first kind.
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