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- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral (t-b)^(x-1)(a-t)^(y-1)dt=(a-b)^(x+y-1)B(x,y) (current)
- 21:03, 3 March 2018 (diff | hist) . . (+82) . . Integral t^(x-1)(1+bt)^(-x-y) dt = b^(-x) B(x,y) (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . Integral t^(x-1)(1-t)^(y-1)(1+bt)^(-x-y)dt = (1+b)^(-x)B(x,y) (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)=2^(1-x-y)integral (1+t)^(x-1)(1-t)^(y-1)+(1+t)^(y-1)(1-t)^(x-1) dt (current)
- 21:02, 3 March 2018 (diff | hist) . . (+82) . . 1/B(n,m)=n((n+m-1) choose (m-1)) (current)
- 21:01, 3 March 2018 (diff | hist) . . (+82) . . 1/B(n,m)=m((n+m-1) choose (n-1)) (current)
- 21:01, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)B(x+y,z)B(x+y+z,u)=Gamma(x)Gamma(y)Gamma(z)Gamma(u)/Gamma(x+y+z+u) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)B(x+y,z)=B(z,x)B(x+z,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)B(x+y,z)=B(y,z)B(y+z,x) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y+1)=(y/(x+y))B(x,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . B(x,y+1)=(y/x)B(x+1,y) (current)
- 20:58, 3 March 2018 (diff | hist) . . (+82) . . Beta as product of gamma functions (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta is symmetric (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . B(x,y)=integral (t^(x-1)+t^(y-1))(1+t)^(-x-y) dt (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta as improper integral (current)
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Beta
- 20:57, 3 March 2018 (diff | hist) . . (+82) . . Euler-Mascheroni constant (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Reciprocal gamma written as an infinite product (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma function written as infinite product (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma function written as a limit of a factorial, exponential, and a rising factorial (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma(z) as integral of a power of log(1/t) for Re(z) greater than 0 (current)
- 20:56, 3 March 2018 (diff | hist) . . (+82) . . Gamma
- 20:55, 3 March 2018 (diff | hist) . . (+80) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 20:54, 3 March 2018 (diff | hist) . . (+2) . . Book:Arthur Erdélyi/Higher Transcendental Functions Volume I
- 20:53, 3 March 2018 (diff | hist) . . (0) . . m Book:Arthur Erdélyi/Higher Transcendental Functions Volume I (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume I to Book:Arthur Erdélyi/Higher Transcendental Functions Volume I)
- 20:53, 3 March 2018 (diff | hist) . . (+75) . . N Book:Harry Bateman/Higher Transcendental Functions Volume I (Tom moved page Book:Harry Bateman/Higher Transcendental Functions Volume I to Book:Arthur Erdélyi/Higher Transcendental Functions Volume I) (current)
- 03:22, 26 February 2018 (diff | hist) . . (+46) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation (current)
- 03:20, 26 February 2018 (diff | hist) . . (+6) . . Modular form (current)
- 03:20, 26 February 2018 (diff | hist) . . (+21) . . Modular form
- 03:19, 26 February 2018 (diff | hist) . . (+501) . . N Modular form (Created page with "A modular form of weight $k$ for $\mathrm{SL}(2,\mathbb{Z})$ is a function $f \colon \mathbb{H} \rightarrow \mathbb{C}$, where $\mathbb{H}$ is a the upper half-plane that sati...")
- 03:10, 26 February 2018 (diff | hist) . . (+23) . . Matrix exponential (current)
- 03:10, 26 February 2018 (diff | hist) . . (+377) . . N Matrix e^A=limit of (I+A/s)^s (Created page with "==Theorem== The following formula holds for any matrix $A \in \mathbb{C}^{n \times n}$: $$e^A = \displaystyle\lim_{s \rightarrow \infty} \left( I + \dfrac{A}{s} \right)^s.$$...") (current)
- 15:46, 25 February 2018 (diff | hist) . . (+474) . . Catalan's constant using Legendre chi (current)
- 15:40, 25 February 2018 (diff | hist) . . (0) . . Catalan's constant (current)
- 04:28, 24 February 2018 (diff | hist) . . (0) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:28, 24 February 2018 (diff | hist) . . (+35) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:27, 24 February 2018 (diff | hist) . . (+40) . . Matrix exponential
- 04:26, 24 February 2018 (diff | hist) . . (+121) . . Matrix exponential
- 04:16, 24 February 2018 (diff | hist) . . (+2,234) . . Book:Nicholas Higham/Functions of Matrices: Theory and Computation
- 04:06, 24 February 2018 (diff | hist) . . (+5,025) . . N Book:Nicholas Higham/Functions of Matrices: Theory and Computation (Created page with "{{Book|Functions of Matrices: Theory and Computation|2008|||Nicholas Higham}} :List of Figures :List of Tables :Preface :1 Theory of Matrix Functions ::1.1 Introduction ::1.2...")
- 02:28, 24 February 2018 (diff | hist) . . (+23) . . Main Page (→*-integral functions)
- 02:25, 24 February 2018 (diff | hist) . . (+175) . . N Entire exponential integral (Created page with "The $\mathrm{Ein}$ function is defined by $$\mathrm{Ein}(z)=\displaystyle\int_0^z \dfrac{1-e^{-t}}{t} \mathrm{d}t.$$ =Properties= =References= Category:SpecialFunction")
- 02:01, 24 February 2018 (diff | hist) . . (+2) . . Integral of (z^n)log(z)dz=(z^(n+1)/(n+1))log(z)-z^(n+1)/(n+1)^2 for integer n neq -1 (current)
- 01:48, 24 February 2018 (diff | hist) . . (0) . . Coth of a sum (current)
- 23:18, 20 February 2018 (diff | hist) . . (+88) . . Integral of Bessel J for nu=1 (current)
- 23:17, 20 February 2018 (diff | hist) . . (+21) . . Integral of Bessel J for nu=1
- 23:16, 20 February 2018 (diff | hist) . . (+109) . . Integral of Bessel J for nu=1
- 23:15, 20 February 2018 (diff | hist) . . (+112) . . Integral of Bessel J for nu=1
- 23:14, 20 February 2018 (diff | hist) . . (+506) . . Integral of Bessel J for nu=1
- 23:10, 20 February 2018 (diff | hist) . . (+124) . . Integral of Bessel J for nu=1
- 05:20, 12 February 2018 (diff | hist) . . (-6) . . Dedekind eta (current)
- 05:20, 12 February 2018 (diff | hist) . . (+35) . . Dedekind eta
- 05:17, 12 February 2018 (diff | hist) . . (+73) . . Dedekind eta (→Properties)
- 04:52, 12 February 2018 (diff | hist) . . (+33) . . Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series (current)
- 04:51, 12 February 2018 (diff | hist) . . (+9) . . Q-zeta (→References) (current)
- 04:51, 12 February 2018 (diff | hist) . . (+487) . . N Q-Hurwitz zeta (Created page with "Let $|q|<1$. The $q$-Hurwitz zeta function $\zeta_q \colon \mathbb{C} \times (0,1] \rightarrow \mathbb{C}$ is defined by $$\zeta_q(z,x)=\displaystyle\sum_{k=0}^{\infty} \dfra...") (current)
- 17:49, 11 February 2018 (diff | hist) . . (+68) . . Main Page (→Zeta functions)
- 17:48, 11 February 2018 (diff | hist) . . (+42) . . Main Page (→$q$-special functions)
- 17:48, 11 February 2018 (diff | hist) . . (+53) . . Q-zeta
- 17:47, 11 February 2018 (diff | hist) . . (-4) . . Q-zeta
- 17:46, 11 February 2018 (diff | hist) . . (+36) . . Q-zeta
- 17:44, 11 February 2018 (diff | hist) . . (+11) . . Q-zeta
- 17:44, 11 February 2018 (diff | hist) . . (+132) . . Q-zeta
- 17:43, 11 February 2018 (diff | hist) . . (+1) . . Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series
- 17:42, 11 February 2018 (diff | hist) . . (+326) . . N Paper:Yilmaz Simsek/q-Dedekind type sums related to q-zeta function and basic L-series (Created page with "{{Book|q-Dedekind type sums related to q-zeta function and basic L-series|2006|Journal of Mathematical Analysis and Applications||Yilmaz Simsek}} ===Online copies=== [https:/...")
- 17:37, 11 February 2018 (diff | hist) . . (+277) . . N Q-zeta (Created page with "The $q$-zeta function $\zeta_q \colon \mathbb{C} \times (0,1] \rightarrow \mathbb{C}$ by $$\zeta_q(z,x)=\displaystyle\sum_{k=0}^{\infty} \dfrac{q^{-k}}{(q^{-k}[k]+x)^z},$$ whe...")
- 17:32, 11 February 2018 (diff | hist) . . (+9) . . Main Page (→$q$-special functions)
- 17:32, 11 February 2018 (diff | hist) . . (+17) . . Main Page (→$q$-calculus)
- 05:12, 11 February 2018 (diff | hist) . . (+46) . . Book:Gabor Szegő/Orthogonal Polynomials/Fourth Edition
- 05:12, 11 February 2018 (diff | hist) . . (+256) . . Signum (current)
- 05:10, 11 February 2018 (diff | hist) . . (+120) . . Signum
- 18:50, 9 January 2018 (diff | hist) . . (-11) . . Main Page
- 18:50, 9 January 2018 (diff | hist) . . (+230) . . Main Page
- 21:55, 2 January 2018 (diff | hist) . . (+11) . . E(2,1)(-z^2)=cos(z) (current)
- 21:35, 2 January 2018 (diff | hist) . . (+142) . . Mittag-Leffler (current)
- 21:35, 2 January 2018 (diff | hist) . . (+182) . . Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (current)
- 21:34, 2 January 2018 (diff | hist) . . (+13) . . E(1,1)(z)=exp(z) (current)
- 21:33, 2 January 2018 (diff | hist) . . (-25) . . E(2,1)(z)=cosh(sqrt(z)) (current)
- 21:32, 2 January 2018 (diff | hist) . . (+468) . . N E(2,1)(-z^2)=cos(z) (Created page with "==Theorem== The following formula holds for $z \in \mathbb{C}$: $$E_{2,1}(-z^2)=\cos(z),$$ where $E_{2,1}$ denotes the Mittag-Leffler function and $\cos$ denotes [[cosine]...")
- 21:31, 2 January 2018 (diff | hist) . . (+19) . . E(2,1)(z)=cosh(sqrt(z))
- 21:29, 2 January 2018 (diff | hist) . . (0) . . E(1,1)(z)=exp(z)
- 21:28, 2 January 2018 (diff | hist) . . (+484) . . N E(2,1)(z)=cosh(sqrt(z)) (Created page with "==Theorem== The following formula holds: $$E_{2,1}(z)=\cosh(\sqrt{z}),$$ where $E_{2,1}$ denotes the Mittag-Leffler function and $\cosh$ denotes cosh. ==Proof== ==Re...")
- 21:28, 2 January 2018 (diff | hist) . . (+13) . . Mittag-Leffler
- 21:27, 2 January 2018 (diff | hist) . . (+55) . . N E (0,1)(z)=1/(1-z) for (Tom moved page E (0,1)(z)=1/(1-z) for to E (0,1)(z)=1/(1-z) for abs(z) less than 1) (current)
- 21:27, 2 January 2018 (diff | hist) . . (0) . . m E (0,1)(z)=1/(1-z) for abs(z) less than 1 (Tom moved page E (0,1)(z)=1/(1-z) for to E (0,1)(z)=1/(1-z) for abs(z) less than 1) (current)
- 21:24, 2 January 2018 (diff | hist) . . (+468) . . N E(1,1)(z)=exp(z) (Created page with "==Theorem== The following formula holds: $$E_{1,1}(z)=e^z,$$ where $E_{1,1}$ denotes the Mittag-Leffler function and $e^z$ denotes the exponential. ==Proof== ==Refer...")
- 21:22, 2 January 2018 (diff | hist) . . (+432) . . N E (0,1)(z)=1/(1-z) for abs(z) less than 1 (Created page with "==Theorem== The following formula holds for $|z|<1$: $$E_{0,1}(z)=\dfrac{1}{1-z},$$ where $E_{0,1}$ denotes the Mittag-Leffler function. ==Proof== ==References== * {{Pap...")
- 21:21, 2 January 2018 (diff | hist) . . (+23) . . Mittag-Leffler
- 21:17, 2 January 2018 (diff | hist) . . (+35) . . Mittag-Leffler
- 21:13, 2 January 2018 (diff | hist) . . (+35) . . Mittag-Leffler
- 21:09, 2 January 2018 (diff | hist) . . (+141) . . Mittag-Leffler
- 21:08, 2 January 2018 (diff | hist) . . (0) . . m Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (Tom moved page Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold to Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications)
- 21:08, 2 January 2018 (diff | hist) . . (+80) . . N Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold (Tom moved page Paper:Mittag-Leffler Functions and Their Applications/H.J. Haubold to Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications) (current)
- 17:31, 2 January 2018 (diff | hist) . . (+197) . . Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications
- 16:49, 2 January 2018 (diff | hist) . . (+146) . . N Paper:H.J. Haubold/Mittag-Leffler Functions and Their Applications (Created page with "{{Book|Mittag-Leffler Functions and Their Applications|2011|Journal of Applied Mathematics||H.J. Haubold|author2=A.M. Mathai|author3=R.K. Saxena}}")
- 16:47, 2 January 2018 (diff | hist) . . (+89) . . Mittag-Leffler
- 15:54, 2 January 2018 (diff | hist) . . (+274) . . N Mittag-Leffler (Created page with "The Mittag-Leffler function $E_{\alpha, \beta}$ is defined by the series $$E_{\alpha, \beta}(z)=\displaystyle\sum_{k=0}^{\infty} \dfrac{z^k}{\Gamma(\alpha k + \beta)},$$ where...")
- 15:53, 2 January 2018 (diff | hist) . . (+25) . . Main Page (→Special functions)
- 14:42, 23 December 2017 (diff | hist) . . (+81) . . Paper:Harvey Dubner/Factorial and Primorial Primes (current)
- 14:36, 23 December 2017 (diff | hist) . . (+194) . . N Primorial (Created page with "The primorial $p_n\#$ of the prime number $p_n$ is $$p_n\#=p_n p_{n-1} p_{n-2} \ldots p_1.$$ =References= * {{PaperReference|Factorial and Primorial Primes|1987|Harvey D...") (current)
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