A summability method due to linear differential equations and a uniqueness property of solutions of singular differential equations
1976 ◽
Vol 20
(1)
◽
pp. 41-51
Keyword(s):
The purpose of this paper is to expose a method which will match a function f(z) existing in a domain D to a formal series whose radius of convergence may be zero. This matching process has to be done in a “natural way”, and has to be “regular”, which means that if a power series converges absolutely in the circle E = {z | |z|<r} then the summability function f(z) produced by our method in the domain D and matched to will coincide with in the domain E∩D. Euler, in his time, matched the function to the power series .
Keyword(s):
2007 ◽
Vol 5
◽
pp. 301-306
2020 ◽
Vol 46
(2)
◽
pp. 67-75
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2011 ◽
Vol 2011
◽
pp. 1-8
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2018 ◽
Vol 42
(15)
◽
pp. 4902-4908
◽
1994 ◽
Vol 04
(04)
◽
pp. 561-573
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