Pلl-type interpolation on the Mِbius transform of roots of unity

Define for integer m ⩾ 1 and α a complex number with α 2 , α m ≠ 1 , the polynomial of degree m w m ( α ; z ) = ( z + α ) m - ( 1 + α z ) m , whose (simple) zeros can be seen as the Möbius transforms of the mth roots of unity. s paper it will be shown that ( 0 , m ) Pál-type interpolation on the zeros of { w n + m ( α ; z ) , w n ( α ; z ) } is regular for all integers n , m ⩾ 1 and complex numbers α with α 2 , α m , α n , α n + m ≠ 1 .