DLMF:28.28.E14 (Q8438)

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Language	Label	Description	Also known as
English	DLMF:28.28.E14	No description defined

Statements

Defining formula

{\displaystyle{\displaystyle\int_{0}^{\infty}e^{2\mathrm{i}h\cosh z\cosh t}% \mathrm{Ge}_{m}\left(t,h^{2}\right)\mathrm{d}t=\tfrac{1}{2}\pi{\mathrm{i}^{m+1% }}\mathrm{ge}_{m}\left(0,h^{2}\right){\mathrm{Ms}^{(3)}_{m}}\left(z,h\right).}}

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DLMF:28.28.E14

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second solution, Mathieu’s equation

Defining formula

{\displaystyle{\displaystyle\mathrm{ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S5.E2.m2adec

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the ratio of the circumference of a circle to its diameter

Defining formula

{\displaystyle{\displaystyle\pi}}

C3.S12.E1.m2aldec

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Defining formula

{\displaystyle{\displaystyle\mathrm{d}\NVar{x}}}

C1.S4.SS4.m1ajdec

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base of natural logarithm

Defining formula

{\displaystyle{\displaystyle\mathrm{e}}}

C4.S2.E11.m2ajdec

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hyperbolic cosine function

Defining formula

{\displaystyle{\displaystyle\cosh\NVar{z}}}

C4.S28.E2.m2aedec

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Defining formula

{\displaystyle{\displaystyle\mathrm{i}}}

C1.S9.E1.m2akdec

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Defining formula

{\displaystyle{\displaystyle\int}}

C1.S4.SS4.m3ajdec

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modified Mathieu function

Defining formula

{\displaystyle{\displaystyle\mathrm{Ge}_{\NVar{n}}\left(\NVar{z},\NVar{q}% \right)}}

C28.S20.E7.m2adec

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radial Mathieu function

Defining formula

{\displaystyle{\displaystyle{\mathrm{Ms}^{(\NVar{j})}_{\NVar{n}}}\left(\NVar{z% },\NVar{h}\right)}}

C28.S20.E16.m2abdec

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Defining formula

{\displaystyle{\displaystyle m}}

C28.S1.XMD1.m1adec

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Defining formula

{\displaystyle{\displaystyle h}}

C28.S1.XMD11.m1kdec

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Sitelinks

Wikipedia(0 entries)

DRMF related sites(0 entries)

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