No credit card required
‘All changes trying, he will take the formOf ev’ry reptile on the earth, will seemA river now, and now devouring fire;But hold him ye, and grasp him still the more.’
HOMER, Odyssey (Cowper’s translation)
The hypergeometric function is defined in general by the series
and satisfies the differential equation
A second solution is
It can be shown by direct transformation that any second order ...