密尔塞普斯学院学历认证办理【仿证微kaa77788】】dot

The terms "学院学", "kaa77788" were not found.Possible alternative term: "27789".

(0.002 seconds)

1—10 of 191 matching pages

1: 9.4 Maclaurin Series

… ►

9.4.1

\operatorname{Ai}\left(z\right)=\operatorname{Ai}\left(0\right)\left(1+\frac{1% }{3!}z^{3}+\frac{1\cdot 4}{6!}z^{6}+\frac{1\cdot 4\cdot 7}{9!}z^{9}+\cdots% \right)+\operatorname{Ai}'\left(0\right)\left(z+\frac{2}{4!}z^{4}+\frac{2\cdot 5% }{7!}z^{7}+\frac{2\cdot 5\cdot 8}{10!}z^{10}+\cdots\right),

ⓘ

Symbols:: $\operatorname{Ai}\left(\NVar{z}\right)$ : Airy function, $!$ : factorial (as in $n!$ ) and $z$ : complex variable
Source:: Olver (1997b, p. 54)
A&S Ref:: 10.4.2 (with 10.4.4 and 10.4.5)
Permalink:: http://dlmf.nist.gov/9.4.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §9.4 and Ch.9

►

9.4.2

\operatorname{Ai}'\left(z\right)=\operatorname{Ai}'\left(0\right)\left(1+\frac% {2}{3!}z^{3}+\frac{2\cdot 5}{6!}z^{6}+\frac{2\cdot 5\cdot 8}{9!}z^{9}+\cdots% \right)+\operatorname{Ai}\left(0\right)\left(\frac{1}{2!}z^{2}+\frac{1\cdot 4}% {5!}z^{5}+\frac{1\cdot 4\cdot 7}{8!}z^{8}+\cdots\right),

ⓘ

Symbols:: $\operatorname{Ai}\left(\NVar{z}\right)$ : Airy function, $!$ : factorial (as in $n!$ ) and $z$ : complex variable
Proof sketch:: Use methods of Olver (1997b, p. 54).
Permalink:: http://dlmf.nist.gov/9.4.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §9.4 and Ch.9

►

9.4.3

\operatorname{Bi}\left(z\right)=\operatorname{Bi}\left(0\right)\left(1+\frac{1% }{3!}z^{3}+\frac{1\cdot 4}{6!}z^{6}+\frac{1\cdot 4\cdot 7}{9!}z^{9}+\cdots% \right)+\operatorname{Bi}'\left(0\right)\left(z+\frac{2}{4!}z^{4}+\frac{2\cdot 5% }{7!}z^{7}+\frac{2\cdot 5\cdot 8}{10!}z^{10}+\cdots\right),

ⓘ

Symbols:: $\operatorname{Bi}\left(\NVar{z}\right)$ : Airy function, $!$ : factorial (as in $n!$ ) and $z$ : complex variable
Proof sketch:: Use methods of Olver (1997b, p. 54).
A&S Ref:: 10.4.3 (with 10.4.4 and 10.4.5)
Referenced by:: (9.12.15)
Permalink:: http://dlmf.nist.gov/9.4.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §9.4 and Ch.9

►

9.4.4

\operatorname{Bi}'\left(z\right)=\operatorname{Bi}'\left(0\right)\left(1+\frac% {2}{3!}z^{3}+\frac{2\cdot 5}{6!}z^{6}+\frac{2\cdot 5\cdot 8}{9!}z^{9}+\cdots% \right)+\operatorname{Bi}\left(0\right)\left(\frac{1}{2!}z^{2}+\frac{1\cdot 4}% {5!}z^{5}+\frac{1\cdot 4\cdot 7}{8!}z^{8}+\cdots\right).

ⓘ

Symbols:: $\operatorname{Bi}\left(\NVar{z}\right)$ : Airy function, $!$ : factorial (as in $n!$ ) and $z$ : complex variable
Proof sketch:: Use methods of Olver (1997b, p. 54).
Permalink:: http://dlmf.nist.gov/9.4.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §9.4 and Ch.9

2: 4.33 Maclaurin Series and Laurent Series

… ►

4.33.1

\sinh z=z+\frac{z^{3}}{3!}+\frac{z^{5}}{5!}+\cdots,

ⓘ

Symbols:: $!$ : factorial (as in $n!$ ), $\sinh\NVar{z}$ : hyperbolic sine function and $z$ : complex variable
A&S Ref:: 4.5.62
Permalink:: http://dlmf.nist.gov/4.33.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §4.33 and Ch.4

►

4.33.2

\cosh z=1+\frac{z^{2}}{2!}+\frac{z^{4}}{4!}+\cdots.

ⓘ

Symbols:: $!$ : factorial (as in $n!$ ), $\cosh\NVar{z}$ : hyperbolic cosine function and $z$ : complex variable
A&S Ref:: 4.5.63
Permalink:: http://dlmf.nist.gov/4.33.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §4.33 and Ch.4

►

4.33.3

\tanh z=z-\frac{z^{3}}{3}+\frac{2}{15}z^{5}-\frac{17}{315}z^{7}+\cdots+\frac{2% ^{2n}(2^{2n}-1)B_{2n}}{(2n)!}z^{2n-1}+\cdots,

|z|<\frac{1}{2}\pi

ⓘ

Symbols:: $B_{\NVar{n}}$ : Bernoulli numbers, $\pi$ : the ratio of the circumference of a circle to its diameter, $!$ : factorial (as in $n!$ ), $\tanh\NVar{z}$ : hyperbolic tangent function, $n$ : integer and $z$ : complex variable
A&S Ref:: 4.5.64
Permalink:: http://dlmf.nist.gov/4.33.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §4.33 and Ch.4

…

3: 26.16 Multiset Permutations

… ►

\mathfrak{S}_{S}

denotes the set of permutations of

S

for all distinct orderings of the

a_{1}+a_{2}+\cdots+a_{n}

integers. The number of elements in

\mathfrak{S}_{S}

is the multinomial coefficient (§26.4)

\genfrac{(}{)}{0.0pt}{}{a_{1}+a_{2}+\cdots+a_{n}}{a_{1},a_{2},\ldots,a_{n}}

. … ►The $q$ -multinomial coefficient is defined in terms of Gaussian polynomials (§26.9(ii)) by ►

26.16.1

\genfrac{[}{]}{0.0pt}{}{a_{1}+a_{2}+\cdots+a_{n}}{a_{1},a_{2},\ldots,a_{n}}_{q% }=\prod_{k=1}^{n-1}\genfrac{[}{]}{0.0pt}{}{a_{k}+a_{k+1}+\cdots+a_{n}}{a_{k}}_% {q},

ⓘ

Symbols:: $\genfrac{[}{]}{0.0pt}{}{\NVar{n}}{\NVar{m}}_{\NVar{q}}$ : $q$ -binomial coefficient (or Gaussian polynomial), $\genfrac{[}{]}{0.0pt}{}{\NVar{a_{1}}+\NVar{a_{2}}+\dots+\NVar{a_{n}}}{\NVar{a_% {1}},\NVar{a_{2}},\ldots,\NVar{a_{n}}}_{\NVar{q}}$ : $q$ -multinomial coefficient, $k$ : nonnegative integer, $n$ : nonnegative integer, $a_{j}$ : numbers and $q$ : parameter
Permalink:: http://dlmf.nist.gov/26.16.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §26.16 and Ch.26

… ►

26.16.2

\sum_{\sigma\in\mathfrak{S}_{S}}q^{\mathop{\mathrm{inv}}(\sigma)}=\genfrac{[}{% ]}{0.0pt}{}{a_{1}+a_{2}+\cdots+a_{n}}{a_{1},a_{2},\ldots,a_{n}}_{q},

ⓘ

Symbols:: $\in$ : element of, $\genfrac{[}{]}{0.0pt}{}{\NVar{a_{1}}+\NVar{a_{2}}+\dots+\NVar{a_{n}}}{\NVar{a_% {1}},\NVar{a_{2}},\ldots,\NVar{a_{n}}}_{\NVar{q}}$ : $q$ -multinomial coefficient, $\mathfrak{S}_{\NVar{n}}$ : set of permutations of $\{1,2,\ldots,n\}$ , $n$ : nonnegative integer, $a_{j}$ : numbers, $S$ : multiset and $q$ : parameter
Permalink:: http://dlmf.nist.gov/26.16.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §26.16 and Ch.26

…

4: 26.4 Lattice Paths: Multinomial Coefficients and Set Partitions

… ►

\genfrac{(}{)}{0.0pt}{}{n}{n_{1},n_{2},\ldots,n_{k}}

is the number of ways of placing

n=n_{1}+n_{2}+\cdots+n_{k}

distinct objects into

k

labeled boxes so that there are

n_{j}

objects in the

j

th box. … ►

26.4.2

\genfrac{(}{)}{0.0pt}{}{n_{1}+n_{2}+\cdots+n_{k}}{n_{1},n_{2},\ldots,n_{k}}=% \frac{(n_{1}+n_{2}+\cdots+n_{k})!}{n_{1}!\,n_{2}!\,\cdots\,n_{k}!}=\prod_{j=1}% ^{k-1}\genfrac{(}{)}{0.0pt}{}{n_{j}+n_{j+1}+\cdots+n_{k}}{n_{j}}.

ⓘ

Symbols:: $\genfrac{(}{)}{0.0pt}{}{\NVar{m}}{\NVar{n}}$ : binomial coefficient, $!$ : factorial (as in $n!$ ), $\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_% {1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}$ : multinomial coefficient, $j$ : nonnegative integer, $k$ : nonnegative integer and $n$ : nonnegative integer
A&S Ref:: 24.1.2
Referenced by:: §26.4(i)
Permalink:: http://dlmf.nist.gov/26.4.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §26.4(i), §26.4 and Ch.26

… ►

26.4.3

n=a_{1}+2a_{2}+\cdots+na_{n},

ⓘ

Symbols:: $n$ : nonnegative integer and $a_{n}$ : nonnegative integers
Permalink:: http://dlmf.nist.gov/26.4.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §26.4(i), §26.4 and Ch.26

… ►

26.4.9

(x_{1}+x_{2}+\cdots+x_{k})^{n}=\sum\genfrac{(}{)}{0.0pt}{}{n}{n_{1},n_{2},% \ldots,n_{k}}x_{1}^{n_{1}}x_{2}^{n_{2}}\cdots x_{k}^{n_{k}},

ⓘ

Symbols:: $\genfrac{(}{)}{0.0pt}{}{\NVar{n_{1}}+\NVar{n_{2}}+\dots+\NVar{n_{k}}}{\NVar{n_% {1}},\NVar{n_{2}},\ldots,\NVar{n_{k}}}$ : multinomial coefficient, $x$ : real variable, $k$ : nonnegative integer and $n$ : nonnegative integer
A&S Ref:: 24.1.2
Permalink:: http://dlmf.nist.gov/26.4.E9
Encodings:: pMML, png, TeX
See also:: Annotations for §26.4(ii), §26.4 and Ch.26

►where the summation is over all nonnegative integers

n_{1},n_{2},\ldots,n_{k}

such that

n_{1}+n_{2}+\cdots+n_{k}=n

. …

5: 4.39 Continued Fractions

… ►

4.39.1

\tanh z=\cfrac{z}{1+\cfrac{z^{2}}{3+\cfrac{z^{2}}{5+\cfrac{z^{2}}{7+\cdots}}}},

z\neq\pm\tfrac{1}{2}\pi\mathrm{i},\pm\tfrac{3}{2}\pi\mathrm{i},\dots

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\tanh\NVar{z}$ : hyperbolic tangent function, $\mathrm{i}$ : imaginary unit and $z$ : complex variable
A&S Ref:: 4.5.70
Permalink:: http://dlmf.nist.gov/4.39.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §4.39 and Ch.4

►

4.39.2

\frac{\operatorname{arcsinh}z}{\sqrt{1+z^{2}}}=\cfrac{z}{1+\cfrac{1\cdot 2z^{2% }}{3+\cfrac{1\cdot 2z^{2}}{5+\cfrac{3\cdot 4z^{2}}{7+\cfrac{3\cdot 4z^{2}}{9+% \cdots}}}}},

ⓘ

Symbols:: $\operatorname{arcsinh}\NVar{z}$ : inverse hyperbolic sine function and $z$ : complex variable
A&S Ref:: 4.6.36
Permalink:: http://dlmf.nist.gov/4.39.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §4.39 and Ch.4

… ►

4.39.3

\operatorname{arctanh}z=\cfrac{z}{1-\cfrac{z^{2}}{3-\cfrac{4z^{2}}{5-\cfrac{9z% ^{2}}{7-\cdots}}}},

ⓘ

Symbols:: $\operatorname{arctanh}\NVar{z}$ : inverse hyperbolic tangent function and $z$ : complex variable
A&S Ref:: 4.6.35
Permalink:: http://dlmf.nist.gov/4.39.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §4.39 and Ch.4

…

6: 4.25 Continued Fractions

… ►

4.25.1

\tan z=\cfrac{z}{1-\cfrac{z^{2}}{3-\cfrac{z^{2}}{5-\cfrac{z^{2}}{7-}}}}\cdots,

z\neq\pm\tfrac{1}{2}\pi

\pm\tfrac{3}{2}\pi

\dots

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\tan\NVar{z}$ : tangent function and $z$ : complex variable
A&S Ref:: 4.3.94
Permalink:: http://dlmf.nist.gov/4.25.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §4.25 and Ch.4

►

4.25.2

\tan\left(az\right)=\cfrac{a\tan z}{1+\cfrac{(1-a^{2}){\tan}^{2}z}{3+\cfrac{(4% -a^{2}){\tan}^{2}z}{5+\cfrac{(9-a^{2}){\tan}^{2}z}{7+}}}}\cdots,

|\Re z|<\tfrac{1}{2}\pi

az\neq\pm\tfrac{1}{2}\pi,\pm\tfrac{3}{2}\pi,\dots

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\Re$ : real part, $\tan\NVar{z}$ : tangent function, $a$ : real or complex constant and $z$ : complex variable
A&S Ref:: 4.3.95
Permalink:: http://dlmf.nist.gov/4.25.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §4.25 and Ch.4

►

4.25.3

\frac{\operatorname{arcsin}z}{\sqrt{1-z^{2}}}=\cfrac{z}{1-\cfrac{1\cdot 2z^{2}% }{3-\cfrac{1\cdot 2z^{2}}{5-\cfrac{3\cdot 4z^{2}}{7-\cfrac{3\cdot 4z^{2}}{9-}}% }}}\cdots,

ⓘ

Symbols:: $\operatorname{arcsin}\NVar{z}$ : arcsine function and $z$ : complex variable
A&S Ref:: 4.4.44
Permalink:: http://dlmf.nist.gov/4.25.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §4.25 and Ch.4

… ►

4.25.4

\operatorname{arctan}z=\cfrac{z}{1+\cfrac{z^{2}}{3+\cfrac{4z^{2}}{5+\cfrac{9z^% {2}}{7+\cfrac{16z^{2}}{9+}}}}}\cdots,

ⓘ

Symbols:: $\operatorname{arctan}\NVar{z}$ : arctangent function and $z$ : complex variable
A&S Ref:: 4.4.43
Referenced by:: §3.10(ii)
Permalink:: http://dlmf.nist.gov/4.25.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §4.25 and Ch.4

… ►

4.25.5

e^{2a\operatorname{arctan}\left(1/z\right)}={1+\cfrac{2a}{z-a+\cfrac{a^{2}+1}{% 3z+\cfrac{a^{2}+4}{5z+\cfrac{a^{2}+9}{7z+}}}}\cdots,}

ⓘ

Symbols:: $\mathrm{e}$ : base of natural logarithm, $\operatorname{arctan}\NVar{z}$ : arctangent function, $a$ : real or complex constant and $z$ : complex variable
A&S Ref:: 4.2.42
Permalink:: http://dlmf.nist.gov/4.25.E5
Encodings:: pMML, png, TeX
See also:: Annotations for §4.25 and Ch.4

…

7: 4.9 Continued Fractions

… ►

4.9.2

\ln\left(\frac{1+z}{1-z}\right)=\cfrac{2z}{1-\cfrac{z^{2}}{3-\cfrac{4z^{2}}{5-% \cfrac{9z^{2}}{7-\cfrac{16z^{2}}{9-}}}}}\cdots,

ⓘ

Symbols:: $\ln\NVar{z}$ : principal branch of logarithm function and $z$ : complex variable
A&S Ref:: 4.1.40
Permalink:: http://dlmf.nist.gov/4.9.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §4.9(i), §4.9 and Ch.4

… ►

e^{z}=\cfrac{1}{1-\cfrac{z}{1+\cfrac{z}{2-\cfrac{z}{3+\cfrac{z}{2-\cfrac{z}{5+% \cfrac{z}{2-}}}}}}}\cdots

►

=1+\cfrac{z}{1-\cfrac{z}{2+\cfrac{z}{3-\cfrac{z}{2+\cfrac{z}{5-\cfrac{z}{2+% \cfrac{z}{7-}}}}}}}\cdots

►

=1+\cfrac{z}{1-(z/2)+\cfrac{z^{2}/(4\cdot 3)}{1+\cfrac{z^{2}/(4\cdot 15)}{1+% \cfrac{z^{2}/(4\cdot 35)}{1+}}}}\cdots\cfrac{z^{2}/(4(4n^{2}-1))}{1+}\cdots

►

4.9.4

e^{z}-e_{n-1}(z)={\cfrac{z^{n}}{n!-\cfrac{n!z}{(n+1)+\cfrac{z}{(n+2)-\cfrac{(n% +1)z}{(n+3)+\cfrac{2z}{(n+4)-}}}}}\cfrac{(n+2)z}{(n+5)+\cfrac{3z}{(n+6)-}}% \cdots},

ⓘ

Symbols:: $\mathrm{e}$ : base of natural logarithm, $!$ : factorial (as in $n!$ ), $n$ : integer, $z$ : complex variable and $e_{n}(z)$ : expansion of exponential
A&S Ref:: 4.2.41
Permalink:: http://dlmf.nist.gov/4.9.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §4.9(ii), §4.9 and Ch.4

…

8: 3.2 Linear Algebra

… ►

3.2.2

\begin{bmatrix}a_{11}&\cdots&a_{1n}&b_{1}\\ \vdots&\ddots&\vdots&\vdots\\ a_{n1}&\cdots&a_{nn}&b_{n}\end{bmatrix}.

ⓘ

Permalink:: http://dlmf.nist.gov/3.2.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §3.2(i), §3.2 and Ch.3

… ►

3.2.3

\begin{bmatrix}u_{11}&u_{12}&\cdots&u_{1n}&y_{1}\\ 0&u_{22}&\cdots&u_{2n}&y_{2}\\ \vdots&\ddots&\ddots&\vdots&\vdots\\ 0&\cdots&0&u_{nn}&y_{n}\end{bmatrix}.

ⓘ

Referenced by:: §3.2(i)
Permalink:: http://dlmf.nist.gov/3.2.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §3.2(i), §3.2 and Ch.3

… ►

3.2.4

\mathbf{L}=\begin{bmatrix}1&0&\cdots&0\\ \ell_{21}&1&\cdots&0\\ \vdots&\ddots&\ddots&\vdots\\ \ell_{n1}&\cdots&\ell_{n,n-1}&1\end{bmatrix}.

ⓘ

Symbols:: $\ell_{jk}$ : multipliers
Referenced by:: §1.2(vi)
Permalink:: http://dlmf.nist.gov/3.2.E4
Encodings:: pMML, png, TeX
See also:: Annotations for §3.2(i), §3.2 and Ch.3

… ►

3.2.7

\mathbf{A}=\begin{bmatrix}b_{1}&c_{1}&&&0\\ a_{2}&b_{2}&c_{2}&&\\ &\ddots&\ddots&\ddots&\\ &&a_{n-1}&b_{n-1}&c_{n-1}\\ 0&&&a_{n}&b_{n}\end{bmatrix}.

ⓘ

Referenced by:: §1.2(vi)
Permalink:: http://dlmf.nist.gov/3.2.E7
Encodings:: pMML, png, TeX
See also:: Annotations for §3.2(ii), §3.2 and Ch.3

… ►where

\|\,\cdot\,\|_{p}

is one of the matrix norms. …

9: 7.9 Continued Fractions

… ►

7.9.1

\sqrt{\pi}e^{z^{2}}\operatorname{erfc}z=\cfrac{z}{z^{2}+\cfrac{\frac{1}{2}}{1+% \cfrac{1}{z^{2}+\cfrac{\frac{3}{2}}{1+\cfrac{2}{z^{2}+\cdots}}}}},

\Re z>0

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\operatorname{erfc}\NVar{z}$ : complementary error function, $\mathrm{e}$ : base of natural logarithm, $\Re$ : real part and $z$ : complex variable
A&S Ref:: 7.1.14 (in different form)
Referenced by:: §7.9
Permalink:: http://dlmf.nist.gov/7.9.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §7.9 and Ch.7

►

7.9.2

\sqrt{\pi}e^{z^{2}}\operatorname{erfc}z=\cfrac{2z}{2z^{2}+1-\cfrac{1\cdot 2}{2% z^{2}+5-\cfrac{3\cdot 4}{2z^{2}+9-\cdots}}},

\Re z>0

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $\operatorname{erfc}\NVar{z}$ : complementary error function, $\mathrm{e}$ : base of natural logarithm, $\Re$ : real part and $z$ : complex variable
Referenced by:: §7.9
Permalink:: http://dlmf.nist.gov/7.9.E2
Encodings:: pMML, png, TeX
See also:: Annotations for §7.9 and Ch.7

►

7.9.3

w\left(z\right)=\frac{i}{\sqrt{\pi}}\cfrac{1}{z-\cfrac{\frac{1}{2}}{z-\cfrac{1% }{z-\cfrac{\frac{3}{2}}{z-\cfrac{2}{z-\cdots}}}}},

\Im z>0

ⓘ

Symbols:: $\pi$ : the ratio of the circumference of a circle to its diameter, $w\left(\NVar{z}\right)$ : Faddeeva (or Faddeyeva) function, $\Im$ : imaginary part, $\mathrm{i}$ : imaginary unit and $z$ : complex variable
A&S Ref:: 7.1.15 (in different form)
Permalink:: http://dlmf.nist.gov/7.9.E3
Encodings:: pMML, png, TeX
See also:: Annotations for §7.9 and Ch.7

…

10: 31.5 Solutions Analytic at Three Singularities: Heun Polynomials

… ►

31.5.1

\begin{bmatrix}0&a\gamma&0&\dots&0\\ P_{1}&-Q_{1}&R_{1}&\dots&0\\ 0&P_{2}&-Q_{2}&&\vdots\\ \vdots&\vdots&&\ddots&R_{n-1}\\ 0&0&\dots&P_{n}&-Q_{n}\end{bmatrix},

ⓘ

Symbols:: $\gamma$ : real or complex parameter, $n$ : nonnegative integer, $a$ : complex parameter, $P_{j}$ : coefficient, $Q_{j}$ : coefficient and $R_{j}$ : coefficient
Permalink:: http://dlmf.nist.gov/31.5.E1
Encodings:: pMML, png, TeX
See also:: Annotations for §31.5 and Ch.31

…

密尔塞普斯学院学历认证办理【仿证 微kaa77788】】dot