scholarly journals Values of Certain Infinite Products, with an application to the Summation of the Geometrical Series of the nth Order as a Definite Integral

1875 ◽  
Vol s1-7 (1) ◽  
pp. 23-28
Author(s):  
J. W. L. Glaisher
Keyword(s):  
Definite Integral ◽  
Infinite Products ◽  
Geometrical Series

Productly linearly independent sequences

2015 ◽  
Vol 52 (3) ◽  
pp. 350-370
Author(s):  
Jaroslav Hančl ◽  
Katarína Korčeková ◽  
Lukáš Novotný
Keyword(s):  
Rational Numbers ◽  
Infinite Products ◽  
Linearly Independent ◽  
New Concepts ◽  
Infinite Sequences

We introduce the two new concepts, productly linearly independent sequences and productly irrational sequences. Then we prove a criterion for which certain infinite sequences of rational numbers are productly linearly independent. As a consequence we obtain a criterion for the irrationality of infinite products and a criterion for a sequence to be productly irrational.

Zeros of a Definite Integral

SIAM Review ◽  
1985 ◽  
Vol 27 (1) ◽  
pp. 82-82
Author(s):  
Tian Jinghuang
Keyword(s):  
Definite Integral

A Definite Integral

SIAM Review ◽  
1978 ◽  
Vol 20 (4) ◽  
pp. 855-855
Author(s):  
M. L. Glasser
Keyword(s):  
Definite Integral

A Definite Integral (B. C. Berndt)

SIAM Review ◽  
1985 ◽  
Vol 27 (1) ◽  
pp. 84-84
Author(s):  
W. E. Hornor ◽  
C. C. Rousseau
Keyword(s):  
Definite Integral

New Infinite Products of Cosines and Viète-Like Formulae

2013 ◽  
Vol 86 (1) ◽  
pp. 15-25 ◽  
Author(s):  
Samuel G. Moreno ◽  
Esther M. García
Keyword(s):  
Infinite Products

Discussions: Relating to Infinite Products for sinz and cosz

1917 ◽  
Vol 24 (5) ◽  
pp. 246 ◽  
Author(s):  
M. B. Porter
Keyword(s):  
Infinite Products

The Minimum Value of a Definite Integral

1968 ◽  
Vol 52 (380) ◽  
pp. 135 ◽  
Author(s):  
L. J. Mordell
Keyword(s):  
Definite Integral ◽  
Minimum Value
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