Complex Analysis(B.Sc. Mathematics)(B.Sc notes)
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(B.Sc notes)
1
f''(a)=1/π*intrigration of f (z)/(z-a)^3 with respect to z if f (z) is analytic in a region D ;then
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2
Cauchy-Riemann theorem B.Sc. III
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3
Polar form of cauchy-Riemann Equation
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4
Milen Thomson's method for formation of analytic function
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5
Laplace DIFFERENTIAL EQUATION
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6
LAPLACE DIFFERENTIALS EQUATION (in English language)
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7
Tailor's series proof
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8
Taylor Theorem (proof)complex Analysis
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9
reprentation of complex function (staring of conformal mapping)
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10
MORERA Theorem
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11
part -3 कुरान और साँइसIron miracle part3
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12
If P(z)=4z^5+5z^4+6z^3+8z^2+16z+19 then show that all the roots of p'(z)=0and P"(z)=0 lies in the di
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13
B.Sc. Mathematics:MORERA theorem Proof
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14
For what values of z do the function w defined by z=sinu.coshv+i.cosu.sinhv ceases to be analytic
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15
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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16
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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17
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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18
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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19
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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20
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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21
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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22
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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23
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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24
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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25
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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26
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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27
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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28
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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29
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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30
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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31
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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32
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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33
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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34
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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35
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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36
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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37
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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38
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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39
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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40
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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41
Cauchy's Integral Formula:let f(z) be an analytic function in a simply connected domain D enclosed b
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42
Extention of Cauchy's Integral Formula for multiply connected domain:If f(z) is analytic in the regi
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43
B.Sc. Maths:Complex Analysis:Cauchy's Integral Formula for the Derivative of an Analytic function
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44
Show that modulus of the sum of two complex numbers is less than or equal to sum of their moduli
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45
prove that ve^u/z+vz=laurent series
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46
arg(z1/z2)=argz1-argz2;
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47
Integration from 0 to 2π 1+cos^2(3θ)/1-2pcos2θ+p^2
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48
The radius of convergence of the power series sigma n=1 to infinity (n+2/n)^n^2.x^n is..
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49
Show that the polynomial z^5+z^3+2z+3 has just one zero in the first quadrant of the complex plane.
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50
part- 2 iron miracle of quran
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51
#25December Jesus Christ in holy Quran(Miracle of Quran)
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52
Show that at z=0 the function f is defined by f(x+iy)=[(1+i)x^3-(1-i)y^3]/(x^2+y^2) satisfies CR-eqn
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53
Define cross ratio and establish its relation with bilinear transformation.
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54
Find all the bilinear (Mobius) transformations which transform the unit circle into unit circle.
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55
(Reharsal video) Miracle of Quran.For Dawah purpose
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56
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57
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58
Laplace 's equation (Definition)
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59
Harmonic function (Definition)
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60
Find the smallest positive integer n for which (1+i/1-i)^n=1.
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61
Find all the bilinear (Mobius) transformations which transform the unit circle into unit circle.
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62
Let f(z)=u(x,y)+iv(x,y), u(x,y)=4xy-x^3+3xy^3 then find function f(z) by Milne Thomson Method
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