A259619 -id:A259619 - cp's OEIS frontend

A259616 Decimal expansion of J'_1(1), the first root of the derivative of the Bessel function J_1.

1, 8, 4, 1, 1, 8, 3, 7, 8, 1, 3, 4, 0, 6, 5, 9, 3, 0, 2, 6, 4, 3, 6, 2, 9, 5, 1, 3, 6, 4, 4, 4, 4, 3, 3, 2, 2, 4, 3, 6, 1, 2, 7, 0, 3, 9, 0, 9, 6, 8, 1, 9, 2, 6, 4, 3, 5, 0, 4, 6, 7, 7, 4, 2, 9, 2, 4, 2, 2, 9, 2, 0, 9, 8, 5, 9, 0, 6, 5, 3, 8, 6, 1, 8, 9, 3, 3, 5, 4, 1, 7, 2, 0, 0, 9, 3, 7, 8, 4, 8, 4, 1, 1, 1, 4

Offset: 1

Jean-François Alcover, Jul 01 2015

Also root of the equation J_0(x) = J_2(x). - Vaclav Kotesovec, Jul 01 2015

			1.8411837813406593026436295136444433224361270390968192643504677429242292...

Eric Weisstein's MathWorld, Bessel Function Zeros

Cf. A115369 J'_0(1), A259617 J'_2(1), A259618 J'_3(1), A259619 J'_4(1), A259620 J'_5(1).

FindRoot[D[BesselJ[1, x], x] == 0, {x, 2}, WorkingPrecision -> 105] // Last // Last // RealDigits // First

A259617 Decimal expansion of J'_2(1), the first root of the derivative of the Bessel function J_2.

Original entry on oeis.org

3, 0, 5, 4, 2, 3, 6, 9, 2, 8, 2, 2, 7, 1, 4, 0, 3, 2, 2, 7, 5, 5, 9, 3, 2, 0, 9, 1, 1, 4, 8, 5, 6, 0, 8, 9, 7, 6, 4, 1, 4, 9, 6, 7, 6, 0, 5, 2, 9, 9, 4, 5, 9, 1, 9, 8, 1, 6, 4, 3, 7, 5, 6, 6, 6, 5, 8, 5, 4, 5, 1, 7, 6, 6, 1, 2, 9, 1, 9, 4, 5, 6, 9, 7, 4, 7, 0, 8, 0, 5, 6, 3, 0, 5, 7, 7, 5, 5, 5, 0, 9, 4, 1, 2, 6

Offset: 1

Jean-François Alcover, Jul 01 2015

			3.054236928227140322755932091148560897641496760529945919816437566658545...

Eric Weisstein's MathWorld, Bessel Function Zeros

Cf. A115369 J'_0(1), A259616 J'_1(1), A259618 J'_3(1), A259619 J'_4(1), A259620 J'_5(1).

FindRoot[D[BesselJ[2, x], x] == 0, {x, 3}, WorkingPrecision -> 105] // Last // Last // RealDigits // First

A259618 Decimal expansion of J'_3(1), the first root of the derivative of the Bessel function J_3.

Original entry on oeis.org

4, 2, 0, 1, 1, 8, 8, 9, 4, 1, 2, 1, 0, 5, 2, 8, 4, 9, 6, 1, 8, 7, 8, 5, 5, 2, 9, 7, 4, 5, 6, 7, 1, 2, 1, 8, 7, 9, 4, 4, 6, 0, 3, 2, 1, 3, 5, 8, 9, 9, 8, 3, 3, 5, 2, 1, 7, 6, 0, 0, 1, 7, 9, 1, 0, 2, 0, 9, 5, 8, 4, 0, 5, 0, 3, 1, 9, 3, 3, 5, 1, 6, 1, 1, 1, 7, 3, 5, 0, 2, 6, 5, 4, 2, 4, 7, 2, 1, 8, 9, 0, 7, 6, 9

Offset: 1

Jean-François Alcover, Jul 01 2015

			4.2011889412105284961878552974567121879446032135899833521760017910209584...

Eric Weisstein's MathWorld, Bessel Function Zeros

Cf. A115369 J'_0(1), A259616 J'_1(1), A259617 J'_2(1), A259619 J'_4(1), A259620 J'_5(1).

FindRoot[D[BesselJ[3, x], x] == 0, {x, 4}, WorkingPrecision -> 104] // Last // Last // RealDigits // First

A259620 Decimal expansion of J'_5(1), the first root of the derivative of the Bessel function J_5.

Original entry on oeis.org

6, 4, 1, 5, 6, 1, 6, 3, 7, 5, 7, 0, 0, 2, 4, 0, 2, 8, 2, 8, 3, 9, 8, 1, 4, 7, 1, 9, 0, 8, 7, 9, 2, 4, 0, 3, 8, 1, 0, 9, 0, 0, 0, 5, 6, 5, 2, 0, 7, 7, 2, 0, 7, 7, 8, 6, 7, 4, 9, 4, 7, 6, 2, 7, 3, 2, 2, 8, 8, 0, 6, 0, 3, 3, 4, 7, 1, 6, 6, 5, 3, 2, 3, 2, 4, 6, 5, 3, 2, 0, 8, 6, 4, 6, 9, 9, 5, 6, 6, 8, 8, 0, 6, 7, 7

Offset: 1

Jean-François Alcover, Jul 01 2015

			6.41561637570024028283981471908792403810900056520772077867494762732288...

Eric Weisstein's MathWorld, Bessel Function Zeros

Cf. A115369 J'_0(1), A259616 J'_1(1), A259617 J'_2(1), A259618 J'_3(1), A259619 J'_4(1).

FindRoot[D[BesselJ[5, x], x] == 0, {x, 6}, WorkingPrecision -> 105] // Last // Last // RealDigits // First

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A259616 Decimal expansion of J'_1(1), the first root of the derivative of the Bessel function J_1.

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A259617 Decimal expansion of J'_2(1), the first root of the derivative of the Bessel function J_2.

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A259618 Decimal expansion of J'_3(1), the first root of the derivative of the Bessel function J_3.

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A259620 Decimal expansion of J'_5(1), the first root of the derivative of the Bessel function J_5.

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