Question

Fractional iteration of the exponential map z <- exp(lambda (z - w))

score 60 · Answer 1 · 2026-03-25 16:00:29

60

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Fractional iteration of the exponential map z <- exp(lambda (z - w))

Published on 25 Mar 2026 - 16:00

score 153 · Answer 2 · 2026-04-12 01:08:29

153

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Characterizing smooth functions in polar coordinates

Published on 12 Apr 2026 - 1:08

score 95 · Answer 3 · 2026-04-15 10:05:18

95

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Solutions of the differential equation of the form: $y=y'-\frac{x^{-1/2}}{n}$

Published on 15 Apr 2026 - 10:05

score 35 · Answer 4 · 2026-04-13 00:17:42

35

Views

Approximation to a composite function near 0 and order of remainder

Published on 13 Apr 2026 - 0:17

score 143 · Answer 5 · 2026-04-11 16:31:21

143

Views

Little-$o$ notation in CLT proof using Levy Continuity Theorem

Published on 11 Apr 2026 - 16:31

score 120 · Answer 6 · 2026-04-11 19:57:15

120

Views

Simplified expression for the nth derivative of the n+1th power of a function

Published on 11 Apr 2026 - 19:57

score 74 · Answer 7 · 2026-04-13 03:02:56

74

Views

Does "all derivatives vanish" $\iff$ "the rate of change is smaller than any function in $P$"?

Published on 13 Apr 2026 - 3:02

score 755 · Answer 8 · 2026-04-13 14:40:07

755

Views

Asymptotics of $\displaystyle{\sum_{i=0}^n\sqrt{i(n-i)}}$ as $n\to+\infty$

Published on 13 Apr 2026 - 14:40

score 18 · Answer 9 · 2026-04-12 09:37:46

Darwin Term (Fine Structure) and the Taylor expansion of the electric potential energy (mathematics notation and punctuality)

score 44 · Answer 10 · 2026-04-14 18:44:15

44

Views

Expansion of Beta function near negative integers

Published on 14 Apr 2026 - 18:44

score 39 · Answer 11 · 2026-04-08 16:41:52

39

Views

Understanding the behavior of a quadratic function in two dimensions at a critical point (derivation)

Published on 08 Apr 2026 - 16:41

score 213 · Answer 12 · 2026-04-18 01:46:11

Prove that $\frac{\pi}{4}=\frac{\frac{1^2}{2!}+\frac{(1.2)^2}{4!}+...}{\frac{(-1)^2}{1!}+\frac{(-1.1)^2}{3!}+\frac{(-1.1.3)^2}{5!}+...}$

score 73 · Answer 13 · 2026-04-14 02:07:12

73

Views

Does every Taylor series for $\cos$ only have even exponents?

Published on 14 Apr 2026 - 2:07

score 27 · Answer 14 · 2026-04-15 20:27:22

27

Views

Can we relate these two similar looking series by a simple integral transform?

Published on 15 Apr 2026 - 20:27

score 42 · Answer 15 · 2026-04-12 03:45:33

42

Views

Strategy to calculate Taylor series of compositions

Published on 12 Apr 2026 - 3:45

List Question

Fractional iteration of the exponential map z <- exp(lambda (z - w))

Characterizing smooth functions in polar coordinates

Solutions of the differential equation of the form: $y=y'-\frac{x^{-1/2}}{n}$

Approximation to a composite function near 0 and order of remainder

Little-$o$ notation in CLT proof using Levy Continuity Theorem

Simplified expression for the nth derivative of the n+1th power of a function

Does "all derivatives vanish" $\iff$ "the rate of change is smaller than any function in $P$"?

Asymptotics of $\displaystyle{\sum_{i=0}^n\sqrt{i(n-i)}}$ as $n\to+\infty$

Darwin Term (Fine Structure) and the Taylor expansion of the electric potential energy (mathematics notation and punctuality)

Expansion of Beta function near negative integers

Understanding the behavior of a quadratic function in two dimensions at a critical point (derivation)

Prove that $\frac{\pi}{4}=\frac{\frac{1^2}{2!}+\frac{(1.2)^2}{4!}+...}{\frac{(-1)^2}{1!}+\frac{(-1.1)^2}{3!}+\frac{(-1.1.3)^2}{5!}+...}$

Does every Taylor series for $\cos$ only have even exponents?

Can we relate these two similar looking series by a simple integral transform?

Strategy to calculate Taylor series of compositions

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