scholarly journals Closed-form solutions to irreducible Newton-Puiseux equations by Lagrange inversion formula and diagonalization on polynomial sequences of binomial-type

2019 ◽  
Vol 147 (11) ◽  
pp. 4585-4596
Author(s):  
Soowhan Yoon
Keyword(s):  
Closed Form ◽  
Inversion Formula ◽  
Lagrange Inversion ◽  
Closed Form Solutions ◽  
Polynomial Sequences ◽  
Lagrange Inversion Formula ◽  
Binomial Type

A bijective proof for the arborescent form of the multivariable Lagrange inversion formula

2000 ◽  
pp. 89-100 ◽  
Author(s):  
Michel Bousquet ◽  
Cedric Chauve ◽  
Gilbert Labelle ◽  
Pierre Leroux
Keyword(s):  
Inversion Formula ◽  
Lagrange Inversion ◽  
Bijective Proof ◽  
Lagrange Inversion Formula

scholarly journals The asymptotic expansion for n! and the Lagrange inversion formula

2010 ◽  
Vol 24 (2) ◽  
pp. 219-234 ◽  
Author(s):  
Stella Brassesco ◽  
Miguel A. Méndez
Keyword(s):  
Asymptotic Expansion ◽  
Inversion Formula ◽  
Lagrange Inversion ◽  
Lagrange Inversion Formula

scholarly journals A Multivariate Lagrange Inversion Formula for Asymptotic Calculations

10.37236/1371 ◽  
1998 ◽  
Vol 5 (1) ◽  
Author(s):  
Edward A. Bender ◽  
L. Bruce Richmond
Keyword(s):  
Inversion Formula ◽  
Lagrange Inversion ◽  
Lagrange Inversion Formula

The determinant that is present in traditional formulations of multivariate Lagrange inversion causes difficulties when one attempts to obtain asymptotic information. We obtain an alternate formulation as a sum of terms, thereby avoiding this difficulty.

scholarly journals A ONE-PARAMETER DEFORMATION OF THE NONCOMMUTATIVE LAGRANGE INVERSION FORMULA

2011 ◽  
Vol 21 (08) ◽  
pp. 1395-1414 ◽  
Author(s):  
JEAN-PAUL BULTEL
Keyword(s):  
Hopf Algebra ◽  
Inversion Formula ◽  
Closed Formula ◽  
Lagrange Inversion ◽  
Lagrange Inversion Formula ◽  
The One ◽  
Parameter Deformation

We give a one-parameter deformation of the noncommutative Lagrange inversion formula, more precisely, of the formula of Brouder–Frabetti–Krattenthaler for the antipode of the noncommutative Faá di Bruno algebra. Namely, we obtain a closed formula for the antipode of the one-parameter deformation of this Hopf algebra discovered by Foissy.

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