continuum-sum recurrence equations ?

you mean f(z+1) = f(z) + delta f(z) , where delta is the antisum ?

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why not turn the fourier series into taylor and do ordinary analytic continuation. mittag leffler ?

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or do they give different results ? i dont think so.

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what if we take the fourier series at I(z) = 0 ?

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so the problems occur when we have 2 fourier series expanded on different lines that are not entire and require continuation ?

is it true that if the radiuses intersect , the problem cannot occur ?

is it false that when both are entire they have to agree ?

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when are there complex continu solutions that satisfy both fourier expansions ?

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i dont get your digamma(-z) argument ...

sorry if i ask trivial questions.

you mean f(z+1) = f(z) + delta f(z) , where delta is the antisum ?

--

why not turn the fourier series into taylor and do ordinary analytic continuation. mittag leffler ?

--

or do they give different results ? i dont think so.

--

what if we take the fourier series at I(z) = 0 ?

--

so the problems occur when we have 2 fourier series expanded on different lines that are not entire and require continuation ?

is it true that if the radiuses intersect , the problem cannot occur ?

is it false that when both are entire they have to agree ?

--

when are there complex continu solutions that satisfy both fourier expansions ?

--

i dont get your digamma(-z) argument ...

sorry if i ask trivial questions.