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math.CO2020
Some nonlinear inverse relations of Bell polynomials via the Lagrange inversion formula
Jin Wang, Xinrong Ma
In this paper, by means of the classical Lagrange inversion formula, we establish a general nonlinear inverse relations which is a partial solution to the problem proposed in the p…
math.CO2020
Further study on elliptic interpolation formulas for the elliptic Askey-Wilson polynomials and allied identities
Jin Wang, Xinrong Ma
In this paper, we introduce the so-called elliptic Askey-Wilson polynomials which are homogeneous polynomials in two special theta functions. With regard to the significance of pol…
math.CA2020
Two new transformation formulas for and series associated with Weierstrass' theta identity
Jin Wang, Xinrong Ma
In this paper, we establish two new transformation formulas for and series by means of Slater's general transformation for bilateral series. As applications…