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 Cosh

 http://functions.wolfram.com/01.20.21.1227.01

 Input Form

 Integrate[E^(p z^r) Sin[b z^r]^m Cosh[c z^r], z] == (-((2^(-1 - m) z)/r)) (Binomial[m, m/2] (Gamma[1/r, (-c - p) z^r]/((-c - p) z^r)^r^(-1) + Gamma[1/r, (c - p) z^r]/((c - p) z^r)^r^(-1)) (1 - Mod[m, 2]) + Sum[(-1)^k Binomial[m, k] (Gamma[1/r, (-c + 2 I b k - I b m - p) z^r]/ ((-c + 2 I b k - I b m - p) z^r)^r^(-1) + Gamma[1/r, (c + 2 I b k - I b m - p) z^r]/ ((c + 2 I b k - I b m - p) z^r)^r^(-1) + (E^(I m Pi) Gamma[1/r, (-c - 2 I b k + I b m - p) z^r])/ ((-c - 2 I b k + I b m - p) z^r)^r^(-1) + (E^(I m Pi) Gamma[1/r, (c - 2 I b k + I b m - p) z^r])/ ((c - 2 I b k + I b m - p) z^r)^r^(-1)), {k, 0, Floor[(1/2) (-1 + m)]}]/I^m) /; Element[m, Integers] && m > 0

 Standard Form

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"\[And]", RowBox[List["m", ">", "0"]]]]]]]]

 MathML Form

 p z r sin m ( b z r ) cosh ( c z r ) z - 2 - m - 1 z r ( ( m m 2 ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox[FractionBox["m", "2"], Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] ( Γ ( 1 r , ( - c - p ) z r ) ( ( - c - p ) z r ) - 1 / r + ( ( c - p ) z r ) - 1 / r Γ ( 1 r , ( c - p ) z r ) ) ( 1 - m mod 2 \$CellContext`m 2 ) + - m k = 0 m - 1 2 ( - 1 ) k ( m k ) TagBox[RowBox[List["(", GridBox[List[List[TagBox["m", Identity]], List[TagBox["k", Identity]]]], ")"]], InterpretTemplate[Function[Binomial[Slot[1], Slot[2]]]]] ( m π Γ ( 1 r , ( - c - 2 b k + b m - p ) z r ) ( ( - c - 2 b k + b m - p ) z r ) - 1 / r + m π ( ( c - 2 b k + b m - p ) z r ) - 1 / r Γ ( 1 r , ( c - 2 b k + b m - p ) z r ) + ( ( - c + 2 b k - b m - p ) z r ) - 1 / r Γ ( 1 r , ( - c + 2 b k - b m - p ) z r ) + ( ( c + 2 b k - b m - p ) z r ) - 1 / r Γ ( 1 r , ( c + 2 b k - b m - p ) z r ) ) ) /; m + Condition z p z r b z r m c z r -1 2 -1 m -1 z r -1 Binomial m m 2 -1 Gamma 1 r -1 -1 c -1 p z r -1 c -1 p z r -1 r -1 c -1 p z r -1 r -1 Gamma 1 r -1 c -1 p z r 1 -1 \$CellContext`m 2 -1 m k 0 m -1 2 -1 -1 k Binomial m k m Gamma 1 r -1 -1 c -1 2 b k b m -1 p z r -1 c -1 2 b k b m -1 p z r -1 r -1 m c -1 2 b k b m -1 p z r -1 r -1 Gamma 1 r -1 c -1 2 b k b m -1 p z r -1 c 2 b k -1 b m -1 p z r -1 r -1 Gamma 1 r -1 -1 c 2 b k -1 b m -1 p z r c 2 b k -1 b m -1 p z r -1 r -1 Gamma 1 r -1 c 2 b k -1 b m -1 p z r m SuperPlus [/itex]

 Rule Form

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 Date Added to functions.wolfram.com (modification date)

 2002-12-18