Struve and Related Functions - 11.6 Asymptotic Expansions

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11.6#Ex1 c 0 ⁒ ( Ξ» ) = 1 subscript 𝑐 0 πœ† 1 {\displaystyle{\displaystyle c_{0}(\lambda)=1}}
c_{0}(\lambda) = 1

c[0](lambda) = 1
Subscript[c, 0][\[Lambda]] == 1
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11.6#Ex2 c 1 ⁒ ( Ξ» ) = 2 ⁒ Ξ» - 2 subscript 𝑐 1 πœ† 2 superscript πœ† 2 {\displaystyle{\displaystyle c_{1}(\lambda)=2\lambda^{-2}}}
c_{1}(\lambda) = 2\lambda^{-2}

c[1](lambda) = 2*(lambda)^(- 2)
Subscript[c, 1][\[Lambda]] == 2*\[Lambda]^(- 2)
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11.6#Ex3 c 2 ⁒ ( Ξ» ) = 6 ⁒ Ξ» - 4 - 1 2 ⁒ Ξ» - 2 subscript 𝑐 2 πœ† 6 superscript πœ† 4 1 2 superscript πœ† 2 {\displaystyle{\displaystyle c_{2}(\lambda)=6\lambda^{-4}-\tfrac{1}{2}\lambda^% {-2}}}
c_{2}(\lambda) = 6\lambda^{-4}-\tfrac{1}{2}\lambda^{-2}

c[2](lambda) = 6*(lambda)^(- 4)-(1)/(2)*(lambda)^(- 2)
Subscript[c, 2][\[Lambda]] == 6*\[Lambda]^(- 4)-Divide[1,2]*\[Lambda]^(- 2)
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11.6#Ex4 c 3 ⁒ ( Ξ» ) = 20 ⁒ Ξ» - 6 - 4 ⁒ Ξ» - 4 subscript 𝑐 3 πœ† 20 superscript πœ† 6 4 superscript πœ† 4 {\displaystyle{\displaystyle c_{3}(\lambda)=20\lambda^{-6}-4\lambda^{-4}}}
c_{3}(\lambda) = 20\lambda^{-6}-4\lambda^{-4}

c[3](lambda) = 20*(lambda)^(- 6)- 4*(lambda)^(- 4)
Subscript[c, 3][\[Lambda]] == 20*\[Lambda]^(- 6)- 4*\[Lambda]^(- 4)
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11.6#Ex5 c 4 ⁒ ( Ξ» ) = 70 ⁒ Ξ» - 8 - 45 2 ⁒ Ξ» - 6 + 3 8 ⁒ Ξ» - 4 subscript 𝑐 4 πœ† 70 superscript πœ† 8 45 2 superscript πœ† 6 3 8 superscript πœ† 4 {\displaystyle{\displaystyle c_{4}(\lambda)=70\lambda^{-8}-\tfrac{45}{2}% \lambda^{-6}+\tfrac{3}{8}\lambda^{-4}}}
c_{4}(\lambda) = 70\lambda^{-8}-\tfrac{45}{2}\lambda^{-6}+\tfrac{3}{8}\lambda^{-4}

c[4](lambda) = 70*(lambda)^(- 8)-(45)/(2)*(lambda)^(- 6)+(3)/(8)*(lambda)^(- 4)
Subscript[c, 4][\[Lambda]] == 70*\[Lambda]^(- 8)-Divide[45,2]*\[Lambda]^(- 6)+Divide[3,8]*\[Lambda]^(- 4)
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