Connecting the q-Multiplicative Convolution and the Finite Difference Convolution

Built on

G Szegö, Bemerkungen zu einem satz von j h grace über die wurzeln algebraischer gleichungen , Mathematische Zeitschrift (1922), 28–55
1922
Earlier work this paper cites.
JL Walsh, On the location of the roots of certain types of polynomials , Transactions of the American Mathematical Society (1922), 163–180
1922
Earlier work this paper cites.
T Suffridge, Starlike functions as limits of polynomials , Lecture Notes in Mathematics 505
1973
Earlier work this paper cites.

S Fisk, Polynomials, roots, and interlacing , https://arxiv.org/abs/math/0612833 (2006), xx+700
2006
Cited alongside, same era.
A Marcus, D Spielman, and N Srivastava, Finite free convolutions of polynomials , arXiv preprint (2015), arXiv:1504.00350
Original
2015
Cited alongside, same era.
Petter Brändén, Ilia Krasikov, and Boris Shapiro, Elements of pólya-schur theory in the finite difference setting , Proceedings of the American Mathematical Society 144, 11
2016
Cited alongside, same era.

Martin Lamprecht, Suffridge’s convolution theorem for polynomials and entire functions having only real zeros , Advances in Mathematics 288
2016
Later among the works it cites.
Fedor (https://mathoverflow.net/users/4312/fedor-petrov) Petrov, Combinatorial identity with connection coefficients and falling factorial ⟨ i x ⟩ n \langle ix\rangle_{n} , MathOverflow, URL:https://mathoverflow.net/q/256199 (version: 2016-12-02)
2016
Later among the works it cites.