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General form of the $n^{\text{th}}$ derivative of $x^x$

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#derivatives #proof-verification #exponential-function #analytic-continuation
84
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Contour Deformation in the Laplace Inversion Formula

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#laplace-transform #contour-integration #analytic-functions #analytic-continuation
249
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how to prove that a function vanishing at an interval is identically zero?

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#laplace-transform #analytic-continuation
132
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What is this renormalization/continuation trick called and why does it work?

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#terminology #improper-integrals #analytic-continuation
71
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Analytic continuation of a series raised to a power raised to a power?

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#sequences-and-series #number-theory #proof-verification #dirichlet-series #analytic-continuation
286
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Extending Lacunary Series beyond their disks

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#sequences-and-series #complex-analysis #analytic-continuation #lacunary-series
382
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What is an example of analytic continuation?

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#complex-analysis #analytic-continuation
305
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Analytic continuation of quotient of analytic functions

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#complex-analysis #analytic-functions #analytic-continuation #meromorphic-functions
621
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Is analytic continuation well-defined as a summation method?

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#divergent-series #analytic-continuation
59
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Properties of Complex Function $f(z)=e^{-\frac{1}{z^{1/3}}}$

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#complex-analysis #analytic-functions #analytic-continuation #smooth-functions
85
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Can we evaluate noninteger hyperoparations?

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#analytic-continuation #hyperoperation
130
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Generalizing rising and falling factorial to complex arguments preserving zeroes

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#factorial #analytic-continuation
36
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Closed curve for an analityc function

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#complex-analysis #analytic-functions #maximum-principle #analytic-continuation
988
Views

Is the Lambert W function analytic? If not everywhere then on what set is it analytic?

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#taylor-expansion #holomorphic-functions #analytic-functions #lambert-w #analytic-continuation
92
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Maximal Natural Domain of An Analytic Function on Complex Plane

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#complex-analysis #analysis #several-complex-variables #analytic-continuation

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