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Quaternion algebra using analytic continuation

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#quaternions #analytic-continuation
41
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Does analytic continuation give actual values

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#analytic-continuation
112
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Relationship between cauchy principal value and integrability of a singular point

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#complex-analysis #contour-integration #analytic-continuation #cauchy-principal-value
244
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For what real part of $s$ as a function of $q$ is the Euler-Maclaurin formula a valid analytic continuation of the Riemann zeta function?

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#convergence-divergence #riemann-zeta #analytic-continuation
40
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Extend $f(z)=\frac{1}{z^n +z^{n-1}+...+z^2 + z^{-n}}+\frac{c}{z-1}$

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#complex-analysis #analytic-functions #analytic-continuation
61
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Correct way to analytically continue a multi-dimensional integral

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#complex-analysis #multivariable-calculus #contour-integration #analytic-continuation
167
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Meromorphic continuation of the multifactorial

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#complex-analysis #factorial #gamma-function #analytic-continuation #meromorphic-functions
464
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Proof of existence of maximal analytic continuation of a holomorphic germ

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#complex-analysis #riemann-surfaces #analytic-continuation
151
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Is the analytic continuation of an even function even?

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#complex-analysis #analytic-functions #analytic-continuation #even-and-odd-functions
260
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Why is the borel sum analytic

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#complex-analysis #analytic-continuation #summation-method
121
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Asymptotic expansion of $Li^{-1}$ and zeros of $F(s)$ and $G(s)$

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#asymptotics #analytic-number-theory #visualization #zeta-functions #analytic-continuation
55
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Clarification of the proof of Euler's identity regarding the generating function for partitions.

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#complex-analysis #proof-writing #analytic-number-theory #integer-partitions #analytic-continuation
37
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Analytic continuation and complex integration of one variable of a multivariate function

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#complex-analysis #contour-integration #analytic-continuation #cauchy-principal-value
121
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Analytic continuation of a holomorphic function bounded on neighbourhood of 'small' compact subset $K\subset\mathbb{C}$

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#complex-analysis #analytic-continuation
126
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Is this analytic continuation of the exponentially exponential series correct?

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#complex-analysis #proof-verification #analytic-continuation

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