Zobrazeno 1 - 10 of 129 pro vyhledávání: '"Henry E. Fettis"'
3
Fourier Series Expansions for Pearson Type IV Distributions and Probabilities
Autor: Henry E. Fettis
Publikováno v: SIAM Journal on Applied Mathematics. 31:511-518
Trigonometric series are developed for Pearson type IV distributions and probabilities. One development expresses the non-normalized probability as a series of this type, while the other development gives a similar representation for the normalized p
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https://doi.org/10.1137/0131045
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4
New Relations between Two Types of Bessel Function Integrals
Autor: Henry E. Fettis
Publikováno v: SIAM Journal on Mathematical Analysis. 8:978-982
It is shown that, in certain special cases, the incomplete Lipschitz–Hankel integrals are related to incomplete integrals of Hankel–Nicholson type. Integrals of the form
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https://doi.org/10.1137/0508075
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5
On some trigonometric integrals
Autor: Henry E. Fettis
Publikováno v: Mathematics of Computation. 35:1325-1329
Expressions are obtained for the integrals \[ I λ ( p ) = ∫ 0 π / 2 ( sin ⁡ λ θ sin ⁡ θ ) p d θ , J λ ( p ) = ∫ 0 π / 2 ( 1 − cos ⁡ λ θ sin ⁡ θ ) p d θ I_\lambda ^{(p)} = \int _0^{\pi /2}{\left ( {\frac {{\sin \lambda \theta
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https://doi.org/10.1090/s0025-5718-1980-0583510-1
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6
Further extensions of a Legendre function integral
Autor: Henry E. Fettis
Publikováno v: Mathematics of Computation. 45:549-552
The integral \[ ∫ z 1 ( 1 − t 2 ) β − 1 ( 1 − t 1 + t ) μ / 2 ln ⁡ ( 1 − t 2 ) P ν − 1 μ ( t ) d t \int _z^1 {{{\left ( {\frac {{1 - t}}{2}} \right )}^{\beta - 1}}{{\left ( {\frac {{1 - t}}{{1 + t}}} \right )}^{\mu /2}}\ln \left ( {
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https://doi.org/10.1090/s0025-5718-1985-0804943-6
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7
Complex roots of 𝑠𝑖𝑛 𝑧=𝑎𝑧, 𝑐𝑜𝑠 𝑧=𝑎𝑧, and 𝑐𝑜𝑠ℎ 𝑧=𝑎𝑧
Autor: Henry E. Fettis
Publikováno v: Mathematics of Computation. 30:541-545
Values of the first five complex roots of the equations sin ⁡ z = a z , cos ⁡ z = a z \sin z = az,\cos z = az and cosh ⁡ z = a z \cosh z = az are given to 10S, for a = 10 , 5 , 2 , 1.6 , 1.2 , 1 ( .1 ) .3 a = 10,5,2,1.6,1.2,1(.1).3 , and select
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https://doi.org/10.1090/s0025-5718-1976-0418401-9
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8
More trigonometric integrals
Autor: Henry E. Fettis
Publikováno v: Mathematics of Computation. 43:557-564
Integrals of the form \[ ∫ 0 π / 2 e i p θ cos q θ d θ , ∫ 0 π / 2 e i p θ sin q θ d θ \int _0^{\pi /2} {{e^{ip\theta }}{{\cos }^q}\theta \,d\theta ,\quad \int _0^{\pi /2} {{e^{ip\theta }}{{\sin }^q}\theta \,d\theta } } \] (p real, Re ⁡
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https://doi.org/10.1090/s0025-5718-1984-0758203-1
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10
An asymptotic expansion for the upper percentage points of the 𝜒²-distribution
Autor: Henry E. Fettis
Publikováno v: Mathematics of Computation. 33:1059-1064
An asymptotic development is given for estimating the value of the variable χ \chi for which the χ 2 {\chi ^2} -distribution \[ Q ( χ 2 , v ) = 1 Γ ( v / 2 ) ∫ χ 2 / 2 ∞ t v / 2 − 1 e − t d t Q({\chi ^2},v) = \frac {1}{{\Gamma (v/2)}}\in
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https://doi.org/10.1090/s0025-5718-1979-0528059-9
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