scholarly journals Vectors of type II Hermite–Padé approximations and a new linear independence criterion

2021 ◽  
Author(s):  
Raffaele Marcovecchio
Keyword(s):  
Linear Independence ◽  
Type Ii ◽  
Padé Approximations ◽  
Pade Approximations ◽  
Independence Criterion

A NONVANISHING LEMMA FOR CERTAIN PADÉ APPROXIMATIONS OF THE SECOND KIND

2011 ◽  
Vol 07 (08) ◽  
pp. 1977-1997
Author(s):  
VILLE MERILÄ
Keyword(s):  
Diophantine Approximation ◽  
Algebraic Number ◽  
Hypergeometric Functions ◽  
Linear Independence ◽  
Number Fields ◽  
Vandermonde Determinant ◽  
Algebraic Number Fields ◽  
Padé Approximations ◽  
Pade Approximations

We prove the nonvanishing lemma for explicit second kind Padé approximations to generalized hypergeometric and q-hypergeometric functions. The proof is based on an evaluation of a generalized Vandermonde determinant. Also, some immediate applications to the Diophantine approximation is given in the form of sharp linear independence measures for hypergeometric E- and G-functions in algebraic number fields with different valuations.

Padé approximations to the logarithm II: Identities, recurrences, and symbolic computation

2006 ◽  
Vol 11 (2) ◽  
pp. 139-158 ◽  
Author(s):  
Kathy Driver ◽  
Helmut Prodinger ◽  
Carsten Schneider ◽  
J. A. C. Weideman
Keyword(s):  
Symbolic Computation ◽  
Padé Approximations ◽  
Pade Approximations

Dynamic Stability of Hingeless Rotor Blade in Hover Using Padé Approximations

AIAA Journal ◽  
2016 ◽  
Vol 54 (5) ◽  
pp. 1769-1777 ◽  
Author(s):  
Ahmed A. Hussein ◽  
Muhammad R. Hajj ◽  
Samir M. Elkholy ◽  
Gamal M. ELbayoumi
Keyword(s):  
Dynamic Stability ◽  
Rotor Blade ◽  
Padé Approximations ◽  
Pade Approximations
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