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Nov
19
answered Is there a continuous function on R such that $f(f(x))=e^{-x}$?
Nov
19
comment Is there a continuous function on R such that $f(f(x))=e^{-x}$?
This is only if f required to be real-valued. If it is allowed being complex-valued (but continuous and defined on R), it can exist.
Nov
19
revised Is there exact formula that returns minimal period of a periodic function?
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Nov
19
revised Is there exact formula that returns minimal period of a periodic function?
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Nov
19
comment Is there exact formula that returns minimal period of a periodic function?
@Travis yes, infimum of all positive periods. Ideally. But if it worked only for non-constant analytic functions, it would be ok.
Nov
19
comment Is there exact formula that returns minimal period of a periodic function?
@GEdgar I want a formula(expression) representation, that would give it for arbitrary analytic function. Like a limit, series, integral, sum etc.
Nov
19
comment Is there exact formula that returns minimal period of a periodic function?
@Travis for such functions the formula ideally would return $0$ like for constants. But I would be satisfied if the formula worked for only analytic functions.
Nov
19
asked Is there exact formula that returns minimal period of a periodic function?
Nov
19
comment Is this similarity just a coincidence?
@alex.jordan digamma is indefinite sum of 1/x if u prefer en.wikipedia.org/wiki/…
Nov
19
answered Continuous function $f:\mathbb{R}\to\mathbb{R}$ such that $f(f(x)) = -x$?
Nov
17
revised Is this similarity just a coincidence?
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Nov
17
revised Is this similarity just a coincidence?
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Nov
17
comment How to take this integral?
@Ron Gordon typo due to a bug in Mathematica! It puts the argument before the function when copying!
Nov
17
asked How to take this integral?
Nov
17
revised Is this similarity just a coincidence?
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Nov
17
asked Is this similarity just a coincidence?
Nov
9
comment Ascribing values to Gamma of negative integers
@Claude Leibovici Numerator for non-Eurer-Masceroni part is Wolstenholme numbers (A001008), denomenator is A102928 multiplyed by factorial.
Nov
1
revised Could negative integer factorials be defined in some way?
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Nov
1
revised Could negative integer factorials be defined in some way?
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Nov
1
revised Could negative integer factorials be defined in some way?
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