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Existence and Uniqueness of ODE solution

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#real-analysis #ordinary-differential-equations #analytic-continuation
203
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Prove that every holomorphic function has a maximal continuation.

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#complex-analysis #order-theory #analytic-continuation
91
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Identity of a modification of the primorial function

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#prime-numbers #analytic-number-theory #analytic-continuation
47
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Find smooth version of $g(x) = \sum_{i=0}^x a^x$

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#discrete-mathematics #summation #geometric-series #smooth-functions #analytic-continuation
26
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Question regarding the fundamental system of an DE

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#ordinary-differential-equations #analytic-continuation #fundamental-solution
32
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Analytic continuation / equivalence based on both value and complex derivate at 2 isolated points.

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#complex-analysis #analytic-continuation
127
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1-1+1-1+... = k+1/2?

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#sequences-and-series #complex-analysis #divergent-series #absolute-convergence #analytic-continuation
124
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Analytic Continuation of Parametric Integral

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#complex-analysis #improper-integrals #analytic-continuation
165
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Meromorphic continuation of L-functions

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#analytic-continuation #galois-representations #meromorphic-functions #l-functions #poisson-summation-formula
177
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Natural Boundary of Euler's Partition Generating Function

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#complex-analysis #integer-partitions #analytic-continuation
70
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derivative of $\left| x^x \right|$ in the entire domain?

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#calculus #analytic-continuation
202
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Does this function come up anywhere in mathematics? $f(s)=\sum_{n=0}^\infty\frac{(-1)^n}{n!}\zeta(-ns)$

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#complex-analysis #reference-request #applications #elliptic-functions #analytic-continuation
52
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How to find the analytic continuation of this function

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#analytic-continuation
91
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Evaluate a complex integral. Does it agree with a previous result?

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#complex-analysis #numerical-methods #contour-integration #analytic-continuation #mellin-transform
158
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How to guarantee uniqueness of analytic continuation of the zeta function

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#complex-analysis #riemann-zeta #analytic-continuation

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