Type II Hermite–Padé Approximations of Generalized Hypergeometric Series

2010 ◽  
Vol 33 (3) ◽  
pp. 289-312 ◽  
Author(s):  
Tapani Matala-aho
Keyword(s):  
Hypergeometric Series ◽  
Type Ii ◽  
Padé Approximations ◽  
Generalized Hypergeometric Series ◽  
Pade Approximations

Irrationality Measures of Numbers Related to Some $q$-Basic Hypergeometric Series

2014 ◽  
Vol 114 (2) ◽  
pp. 254
Author(s):  
Keijo Väänänen
Keyword(s):  
Functional Equation ◽  
Hypergeometric Series ◽  
Basic Hypergeometric Series ◽  
Padé Approximations ◽  
Pade Approximations

We obtain rather good irrationality measures for numbers related to some $q$-basic hypergeometric series. The method uses Padé approximations combined with the iteration of the appropriate functional equation.

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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