Certain Dual Integral Equations And Sonines Integrals
Certain Dual Integral Equations And Sonines Integrals
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1?) satisfies the first equation (3. 1).
For the second equation of the pair we have to evaluate . 0 /^2 .. 2v-v-l, . -^— — p^-L^ ^ C 757 C /(1-t) (z -tC ) dt " J^=l C=l ■>oo iv 2-7v+v, ^''^■^ '0 00 ITT 2' = ^ Xd o-2A-ld ^A+ir^v-A ITT iTTV d?
^A+l/ ^v-Aj^^^^^g )jA+l(^^^)d^ -e ^ z^Rv+l) ^A d ;, -2A-ld . 2A+ir-'-, -, ^^A, 2 .^2. -v-l, .
The Integrals on the lei't hand sides of (3-29) and (5-50) converge if Iz > and if v+2 > |v|, a condition which is satisfied if V > -1. [The representation of the...se integrals in terms of integrals over (Ojl), as shown, is valid if A > -1. However, it is clear that by expressing for example / ^^~ K (^ze~ ' )J (|Od| as J Q V A higher derivatives, v;ith respect to ^, of a similar integral; the term (l-t)'"" in the representations can be made to appear e''> 20 as (1-t) . ] Under the interpretation (3-25) the results (3. 29) and (3. 30) lead to ^ " ^ 2^'-\n:>. -, xH-i d^2A+Y(\_^)K(^, ^2_^^2p-^ M C=i ^P-u:if'\^ ^-2A-ld p2?^irn ^-^^ 2.. 2v^J-, + /F(C)^7C ^C /(l-t)(x -tC )dtd but if X > 1 the right he.
What to read after Certain Dual Integral Equations And Sonines Integrals?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
To quickly assess the difficulty of the text, read a short excerpt:
1?) satisfies the first equation (3. 1).
For the second equation of the pair we have to evaluate . 0 /^2 .. 2v-v-l, . -^— — p^-L^ ^ C 757 C /(1-t) (z -tC ) dt " J^=l C=l ■>oo iv 2-7v+v, ^''^■^ '0 00 ITT 2' = ^ Xd o-2A-ld ^A+ir^v-A ITT iTTV d?
^A+l/ ^v-Aj^^^^^g )jA+l(^^^)d^ -e ^ z^Rv+l) ^A d ;, -2A-ld . 2A+ir-'-, -, ^^A, 2 .^2. -v-l, .
The Integrals on the lei't hand sides of (3-29) and (5-50) converge if Iz > and if v+2 > |v|, a condition which is satisfied if V > -1. [The representation of the...se integrals in terms of integrals over (Ojl), as shown, is valid if A > -1. However, it is clear that by expressing for example / ^^~ K (^ze~ ' )J (|Od| as J Q V A higher derivatives, v;ith respect to ^, of a similar integral; the term (l-t)'"" in the representations can be made to appear e''> 20 as (1-t) . ] Under the interpretation (3-25) the results (3. 29) and (3. 30) lead to ^ " ^ 2^'-\n:>. -, xH-i d^2A+Y(\_^)K(^, ^2_^^2p-^ M C=i ^P-u:if'\^ ^-2A-ld p2?^irn ^-^^ 2.. 2v^J-, + /F(C)^7C ^C /(l-t)(x -tC )dtd but if X > 1 the right he.
What to read after Certain Dual Integral Equations And Sonines Integrals?
You can find similar books in the "Read Also" column, or choose other free books by Arthur S Peters to read onlineMoreLess
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