scholarly journals Logarithmic summability (L, 1) of integrals on [1, ∞)

2019 ◽  
Author(s):  
Goksen Findik ◽  
Ibrahim Canak
Keyword(s):  
Logarithmic Summability

On Riesz logarithmic summability of the ultraspherical series

1967 ◽  
Vol 63 (1) ◽  
pp. 161-170 ◽  
Author(s):  
G. S. Pandey
Keyword(s):  
Ultraspherical Polynomials ◽  
Ultraspherical Series ◽  
Image Position ◽  
Logarithmic Summability

Let f{θ, φ) be a function defined for the range 0 ≤ φ π, 0 ≤ φ ≤ 2π on a sphere S. The ultraspherical series associated with this function iswhereand the ultraspherical polynomials are defined by the following expansion.

scholarly journals Tauberian theorems for logarithmic summability $(L)$

1964 ◽  
Vol 16 (3) ◽  
pp. 257-269 ◽  
Author(s):  
M. S. Rangachari ◽  
Y. Sitaraman
Keyword(s):  
Tauberian Theorems ◽  
Logarithmic Summability
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